id sid tid token lemma pos work_ilaebg6jyzg6nkbnfyyb4aaspa 1 1 Book Book NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 2 Review Review NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 3 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 1 4 Shadows shadow NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 1 5 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 6 Reality reality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 7 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 1 8 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 1 9 Fourth Fourth NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 10 Dimension Dimension NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 11 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 12 Relativity Relativity NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 14 Cubism Cubism NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 15 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 16 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 1 17 Modern Modern NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 18 Thought Thought NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 19 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 20 Volume volume NN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 21 54 54 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 1 22 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 23 Number number NN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 24 4 4 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 1 25 Book Book NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 26 Review Review NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 27 Shadows Shadows NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 1 28 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 29 Reality reality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 30 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 1 31 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 1 32 Fourth Fourth NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 33 Dimension Dimension NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 34 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 35 Relativity Relativity NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 36 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 37 Cubism Cubism NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 38 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 39 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 1 40 Modern modern JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 1 41 Thought thought NN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 42 Reviewed review VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 43 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 44 Tony Tony NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 45 Phillips Phillips NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 46 Shadows Shadows NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 1 47 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 48 Reality reality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 49 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 1 50 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 1 51 Fourth Fourth NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 52 Dimension Dimension NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 53 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 54 Relativity Relativity NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 55 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 56 Cubism Cubism NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 57 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 58 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 1 59 Modern modern JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 1 60 Thought Thought NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 61 Tony Tony NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 62 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 63 Yale Yale NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 64 University University NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 65 Press Press NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 66 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 67 2006 2006 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 1 68 $ $ $ work_ilaebg6jyzg6nkbnfyyb4aaspa 1 69 40.00 40.00 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 1 70 160 160 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 1 71 pages page NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 1 72 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 1 73 ISBN ISBN NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 1 74 978 978 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 1 75 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 1 76 0300110395 0300110395 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 1 77 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 1 78 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 1 79 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 1 80 ? ? . work_ilaebg6jyzg6nkbnfyyb4aaspa 2 1 As as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 2 2 La La NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 2 3 Rochefoucauld Rochefoucauld NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 2 4 ob- ob- RB work_ilaebg6jyzg6nkbnfyyb4aaspa 2 5 served serve VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 2 6 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 2 7 true true JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 2 8 love love NN work_ilaebg6jyzg6nkbnfyyb4aaspa 2 9 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 2 10 many many JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 2 11 people people NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 2 12 talk talk VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 2 13 about about IN work_ilaebg6jyzg6nkbnfyyb4aaspa 2 14 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 2 15 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 2 16 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 2 17 few few JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 2 18 have have VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 2 19 seen see VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 2 20 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 2 21 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 3 1 H. H. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 2 S. S. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 3 M. M. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 4 Coxeter Coxeter NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 3 6 whose whose WP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 7 Regular Regular NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 8 Polytopes Polytopes NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 9 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 3 11 primary primary JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 12 reference reference NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 13 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 14 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 3 15 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 3 16 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 17 constructions construction NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 3 18 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 3 19 says say VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 20 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 3 21 Cox Cox NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 22 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 3 23 ix ix XX work_ilaebg6jyzg6nkbnfyyb4aaspa 3 24 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 3 25 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 3 26 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 3 27 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 28 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 3 29 never never RB work_ilaebg6jyzg6nkbnfyyb4aaspa 3 30 fully fully RB work_ilaebg6jyzg6nkbnfyyb4aaspa 3 31 comprehend comprehend VB work_ilaebg6jyzg6nkbnfyyb4aaspa 3 32 them -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 33 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 34 direct direct JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 35 obser- obser- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 36 vation vation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 37 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 3 38 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 3 39 But but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 3 40 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 41 goes go VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 42 on on RP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 43 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 3 44 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 3 45 In in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 46 attempting attempt VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 3 47 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 3 48 do do VB work_ilaebg6jyzg6nkbnfyyb4aaspa 3 49 so so RB work_ilaebg6jyzg6nkbnfyyb4aaspa 3 50 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 3 51 however however RB work_ilaebg6jyzg6nkbnfyyb4aaspa 3 52 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 3 53 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 54 seem seem VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 55 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 3 56 peek peek VB work_ilaebg6jyzg6nkbnfyyb4aaspa 3 57 through through IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 58 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 3 59 chink chink NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 60 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 61 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 3 62 wall wall NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 63 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 64 our -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 65 physical physical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 66 limitations limitation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 3 67 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 3 68 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 69 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 3 70 new new JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 71 world world NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 72 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 73 dazzling dazzle VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 3 74 beauty beauty NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 75 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 3 76 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 3 77 This this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 3 78 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 79 how how WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 3 80 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 3 81 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 82 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 83 appeals appeal NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 3 84 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 85 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 3 86 geometer geometer NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 87 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 3 88 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 89 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 3 90 popular popular JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 91 imagination imagination NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 92 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 3 93 fired fire VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 94 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 95 late late JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 96 nineteenth nineteenth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 97 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 3 98 early early JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 99 twentieth twentieth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 100 century century NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 101 science science NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 102 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 3 103 fiction fiction NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 104 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 3 105 theosophy theosophy NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 106 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 3 107 charlatanism charlatanism NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 108 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 3 109 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 3 110 be- be- RB work_ilaebg6jyzg6nkbnfyyb4aaspa 3 111 came come VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 3 112 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 3 113 fad fad NN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 114 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 3 115 transcendental transcendental JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 3 116 overtones overtone NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 3 117 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 4 1 Just just RB work_ilaebg6jyzg6nkbnfyyb4aaspa 4 2 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 3 UFOs ufo NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 4 4 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 4 5 interpreted interpret VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 6 today today NN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 7 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 8 manifestations manifestation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 4 9 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 10 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 4 11 superior superior JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 4 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 4 13 alien alien JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 4 14 civilization civilization NN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 15 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 4 16 so so CC work_ilaebg6jyzg6nkbnfyyb4aaspa 4 17 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 4 18 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 4 19 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 20 gave give VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 4 21 room room NN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 22 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 4 23 lots lot NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 4 24 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 25 room room NN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 26 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 4 27 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 28 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 4 29 spirit spirit NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 4 30 world world NN work_ilaebg6jyzg6nkbnfyyb4aaspa 4 31 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 5 1 Tony Tony NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 2 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 3 tells tell VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 5 4 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 5 5 story story NN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 6 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 7 Shadows Shadows NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 8 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 9 Re- Re- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 10 ality ality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 11 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 5 12 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 5 13 Fourth Fourth NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 14 Dimension Dimension NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 15 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 16 Relativity Relativity NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 17 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 5 18 Cubism Cubism NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 19 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 5 20 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 5 21 Modern Modern NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 22 Thought Thought NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 5 23 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 5 24 along along IN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 25 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 26 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 5 27 analysis analysis NN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 28 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 29 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 5 30 impact impact NN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 31 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 32 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 5 33 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 5 34 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 5 35 thought thought NN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 36 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 37 modern modern JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 5 38 art art NN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 39 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 5 40 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 5 41 its -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 5 42 importance importance NN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 43 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 44 modern modern JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 5 45 science science NN work_ilaebg6jyzg6nkbnfyyb4aaspa 5 46 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 6 1 An an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 6 2 additional additional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 6 3 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 6 4 more more RBR work_ilaebg6jyzg6nkbnfyyb4aaspa 6 5 idiosyncratic idiosyncratic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 6 6 theme theme NN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 7 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 6 8 sounded sound VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 9 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 6 11 invocation invocation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 6 13 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 14 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 6 15 book book NN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 16 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 6 17 title title NN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 18 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 6 19 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 20 Plato Plato NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 6 21 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 6 22 myth myth NN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 23 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 24 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 6 25 cave cave NN work_ilaebg6jyzg6nkbnfyyb4aaspa 6 26 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 7 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 7 2 prisoners prisoner NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 7 3 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 4 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 7 5 cave cave NN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 6 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 7 7 see see VB work_ilaebg6jyzg6nkbnfyyb4aaspa 7 8 only only RB work_ilaebg6jyzg6nkbnfyyb4aaspa 7 9 shadows shadow NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 7 10 projected project VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 11 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 12 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 7 13 wall wall NN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 14 before before IN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 15 them -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 7 16 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 7 17 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 7 18 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 19 Socrates Socrates NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 7 20 explains explain VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 7 21 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 22 Glaucon glaucon NN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 23 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 7 24 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 7 25 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 26 them -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 7 27 Tony Tony NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 7 28 Phillips Phillips NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 7 29 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 7 30 professor professor NN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 31 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 32 mathematics mathematic NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 7 33 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 7 34 Stony Stony NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 7 35 Brook Brook NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 7 36 University University NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 7 37 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 8 1 His -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 8 2 email email NN work_ilaebg6jyzg6nkbnfyyb4aaspa 8 3 address address NN work_ilaebg6jyzg6nkbnfyyb4aaspa 8 4 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 8 5 tony@math.sunysb.edu tony@math.sunysb.edu ADD work_ilaebg6jyzg6nkbnfyyb4aaspa 8 6 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 9 1 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 9 2 truth truth NN work_ilaebg6jyzg6nkbnfyyb4aaspa 9 3 would would MD work_ilaebg6jyzg6nkbnfyyb4aaspa 9 4 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 9 5 literally literally RB work_ilaebg6jyzg6nkbnfyyb4aaspa 9 6 nothing nothing NN work_ilaebg6jyzg6nkbnfyyb4aaspa 9 7 but but IN work_ilaebg6jyzg6nkbnfyyb4aaspa 9 8 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 9 9 shadows shadow NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 9 10 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 9 11 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 9 12 images image NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 9 13 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 9 14 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 9 15 Thus thus RB work_ilaebg6jyzg6nkbnfyyb4aaspa 9 16 our -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 9 17 own own JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 9 18 truth truth NN work_ilaebg6jyzg6nkbnfyyb4aaspa 9 19 may may MD work_ilaebg6jyzg6nkbnfyyb4aaspa 9 20 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 9 21 only only RB work_ilaebg6jyzg6nkbnfyyb4aaspa 9 22 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 9 23 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 9 24 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 9 25 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 9 26 more more RBR work_ilaebg6jyzg6nkbnfyyb4aaspa 9 27 meaningful meaningful JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 9 28 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 9 29 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 9 30 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 9 31 reality reality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 9 32 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 10 1 But but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 10 2 there there EX work_ilaebg6jyzg6nkbnfyyb4aaspa 10 3 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 10 4 more more JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 10 5 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 11 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 11 2 concept concept NN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 3 itself -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 11 4 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 5 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 6 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 11 7 enormous enormous JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 11 8 importance importance NN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 9 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 10 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 11 11 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 11 12 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 11 13 systematically systematically RB work_ilaebg6jyzg6nkbnfyyb4aaspa 11 14 opposes oppose VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 11 15 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 11 16 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 11 17 prefers prefer NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 11 18 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 11 19 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 20 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 11 21 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 22 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 11 23 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 11 24 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 25 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 11 26 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 11 27 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 11 28 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 11 29 then then RB work_ilaebg6jyzg6nkbnfyyb4aaspa 11 30 usually usually RB work_ilaebg6jyzg6nkbnfyyb4aaspa 11 31 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 32 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 11 33 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 11 34 get get VB work_ilaebg6jyzg6nkbnfyyb4aaspa 11 35 things thing NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 11 36 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 37 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 11 38 page page NN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 39 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 11 40 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 41 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 11 42 dual dual JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 11 43 perspective perspective NN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 44 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 45 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 11 46 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 11 47 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 11 48 reality reality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 49 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 11 50 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 11 51 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 11 52 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 11 53 slicing slicing NN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 54 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 11 55 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 11 56 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 11 57 characterizes characterize VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 11 58 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 59 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 11 60 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 11 61 Flatland Flatland NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 11 62 model model NN work_ilaebg6jyzg6nkbnfyyb4aaspa 11 63 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 11 64 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 12 1 He -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 2 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 12 3 referring refer VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 12 4 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 12 5 Edwin Edwin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 6 A. A. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 7 Abbott Abbott NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 8 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 12 9 book book NN work_ilaebg6jyzg6nkbnfyyb4aaspa 12 10 Flatland Flatland NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 11 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 12 12 where where WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 12 13 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 12 14 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 12 15 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 16 explained explain VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 12 17 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 12 18 analogy analogy NN work_ilaebg6jyzg6nkbnfyyb4aaspa 12 19 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 12 20 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 12 21 Flatlanders Flatlanders NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 12 22 ’ ’ POS work_ilaebg6jyzg6nkbnfyyb4aaspa 12 23 con- con- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 24 ception ception NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 25 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 12 26 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 12 27 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 12 28 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 12 29 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 12 30 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 12 31 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 32 humans human VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 12 33 inhabit inhabit VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 12 34 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 13 1 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 13 2 Consider consider VB work_ilaebg6jyzg6nkbnfyyb4aaspa 13 3 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 13 4 book book NN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 5 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 13 6 modest modest JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 13 7 proposal proposal NN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 8 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 13 9 rid rid VB work_ilaebg6jyzg6nkbnfyyb4aaspa 13 10 our -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 13 11 thinking thinking NN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 12 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 13 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 13 14 slicing slice VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 13 15 model model NN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 16 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 17 four- four- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 13 18 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 13 19 figures figure NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 13 20 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 13 21 spacetime spacetime NN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 22 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 23 favor favor NN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 24 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 25 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 13 26 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 27 model model NN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 28 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 13 29 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 13 30 I -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 13 31 will will MD work_ilaebg6jyzg6nkbnfyyb4aaspa 13 32 come come VB work_ilaebg6jyzg6nkbnfyyb4aaspa 13 33 back back RB work_ilaebg6jyzg6nkbnfyyb4aaspa 13 34 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 35 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 13 36 point point NN work_ilaebg6jyzg6nkbnfyyb4aaspa 13 37 later later RB work_ilaebg6jyzg6nkbnfyyb4aaspa 13 38 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 14 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 14 2 jacket jacket NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 3 blurb blurb NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 4 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 5 Shadows shadow NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 14 6 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 7 Reality reality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 8 de- de- RB work_ilaebg6jyzg6nkbnfyyb4aaspa 14 9 scribes scribe VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 14 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 14 11 work work NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 12 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 13 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 14 14 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 14 15 revisionist revisionist JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 14 16 math math NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 17 history history NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 18 as as RB work_ilaebg6jyzg6nkbnfyyb4aaspa 14 19 well well RB work_ilaebg6jyzg6nkbnfyyb4aaspa 14 20 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 21 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 14 22 revisionist revisionist JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 14 23 art art NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 24 history history NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 25 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 14 26 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 14 27 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 14 28 Revisionist revisionist JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 14 29 Art art NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 30 History history NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 31 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 14 32 Chapter chapter NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 33 3 3 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 14 34 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 14 35 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 14 36 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 14 37 Fourth Fourth NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 38 Dimension Dimension NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 39 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 40 Painting Painting NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 41 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 14 42 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 14 43 contains contain VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 14 44 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 14 45 analysis analysis NN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 46 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 47 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 14 48 well well RB work_ilaebg6jyzg6nkbnfyyb4aaspa 14 49 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 14 50 known know VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 51 paintings painting NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 14 52 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 53 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 54 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 14 55 Les Les NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 56 Demoiselles Demoiselles NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 57 d’Avignon d’Avignon NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 58 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 14 59 1907 1907 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 14 60 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 14 61 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 14 62 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 14 63 Portrait Portrait NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 64 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 65 Ambroise Ambroise NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 66 Vollard Vollard NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 67 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 14 68 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 14 69 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 14 70 Portrait Portrait NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 71 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 14 72 Henry Henry NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 73 Kahnweiler Kahnweiler NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 14 74 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 14 75 both both DT work_ilaebg6jyzg6nkbnfyyb4aaspa 14 76 1910 1910 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 14 77 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 14 78 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 15 1 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 15 2 argues argue VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 15 3 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 4 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 15 5 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 6 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 15 7 propitious propitious JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 15 8 moment moment NN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 9 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 15 10 more more RBR work_ilaebg6jyzg6nkbnfyyb4aaspa 15 11 serious serious JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 15 12 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 15 13 sophisticated sophisticated JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 15 14 engagement engagement NN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 15 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 16 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 15 17 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 15 18 dimen- dimen- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 19 sion sion NN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 20 pushed push VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 15 21 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 15 22 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 15 23 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 15 24 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 15 25 his -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 15 26 collaborators collaborator NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 15 27 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 28 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 15 29 discovery discovery NN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 30 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 31 cubism cubism NN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 32 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 15 33 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 15 34 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 15 35 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 36 that that DT work_ilaebg6jyzg6nkbnfyyb4aaspa 15 37 moment moment NN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 38 occurred occur VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 15 39 between between IN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 40 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 15 41 painting painting NN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 42 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 43 Les Les NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 15 44 Demoiselles Demoiselles NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 15 45 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 15 46 that that DT work_ilaebg6jyzg6nkbnfyyb4aaspa 15 47 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 15 48 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 15 49 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 15 50 portraits portrait NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 15 51 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 16 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 2 source source NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 3 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 4 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 5 ge- ge- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 6 ometry ometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 7 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 16 8 pinned pin VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 9 down down RP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 10 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 16 11 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 12 Traité Traité NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 13 élémentaire élémentaire NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 14 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 15 géométrie géométrie NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 16 à à NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 17 quatre quatre NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 18 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 16 19 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 20 Esprit Esprit NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 21 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 22 504 504 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 16 23 Notices notice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 16 24 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 25 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 26 AMS AMS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 27 Volume Volume NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 28 54 54 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 16 29 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 16 30 Number number NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 31 4 4 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 16 32 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 16 33 1903 1903 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 16 34 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 16 35 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 16 36 Jouf Jouf NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 37 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 16 38 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 16 39 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 16 40 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 41 bearer bearer NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 42 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 43 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 44 knowledge knowledge NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 45 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 46 Pi- Pi- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 47 casso casso NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 48 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 16 49 identified identify VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 50 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 51 Maurice Maurice NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 52 Princet Princet NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 53 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 16 54 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 55 person person NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 56 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 57 some some DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 58 mathematical mathematical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 16 59 training training NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 60 who who WP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 61 was be VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 16 62 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 63 member member NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 64 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 65 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 16 66 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 16 67 group group NN work_ilaebg6jyzg6nkbnfyyb4aaspa 16 68 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 17 1 This this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 17 2 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 17 3 indeed indeed RB work_ilaebg6jyzg6nkbnfyyb4aaspa 17 4 revisionist revisionist NN work_ilaebg6jyzg6nkbnfyyb4aaspa 17 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 17 6 because because IN work_ilaebg6jyzg6nkbnfyyb4aaspa 17 7 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 17 8 claims claim VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 17 9 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 17 10 hitherto hitherto JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 17 11 unrecognized unrecognized JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 17 12 mathematical mathematical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 17 13 influence influence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 17 14 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 17 15 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 17 16 most most RBS work_ilaebg6jyzg6nkbnfyyb4aaspa 17 17 famous famous JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 17 18 artist artist NN work_ilaebg6jyzg6nkbnfyyb4aaspa 17 19 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 17 20 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 17 21 twentieth twentieth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 17 22 century century NN work_ilaebg6jyzg6nkbnfyyb4aaspa 17 23 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 18 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 18 2 interaction interaction NN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 3 between between IN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 4 geometry geometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 5 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 18 6 art art NN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 7 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 8 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 18 9 beginning beginning NN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 10 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 11 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 18 12 twentieth twentieth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 18 13 century century NN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 14 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 18 15 already already RB work_ilaebg6jyzg6nkbnfyyb4aaspa 18 16 been be VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 17 studied study VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 18 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 19 encyclopedic encyclopedic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 18 20 detail detail NN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 21 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 22 Linda Linda NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 18 23 Dal- Dal- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 18 24 rymple rymple NN work_ilaebg6jyzg6nkbnfyyb4aaspa 18 25 Henderson Henderson NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 18 26 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 18 27 Hen Hen NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 18 28 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 18 29 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 19 1 When when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 19 2 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 19 3 comes come VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 19 4 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 19 6 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 19 7 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 8 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 19 9 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 19 10 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 19 11 Henderson Henderson NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 19 12 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 19 13 much much RB work_ilaebg6jyzg6nkbnfyyb4aaspa 19 14 more more RBR work_ilaebg6jyzg6nkbnfyyb4aaspa 19 15 cautious cautious JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 19 16 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 19 17 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 19 18 Although although IN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 19 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 19 20 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 19 21 denied deny VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 22 ever ever RB work_ilaebg6jyzg6nkbnfyyb4aaspa 19 23 discussing discuss VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 19 24 mathematics mathematic NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 19 25 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 19 26 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 19 27 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 19 28 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 29 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 30 Princet Princet NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 19 31 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 19 32 Princet Princet NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 19 33 was be VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 19 34 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 19 35 member member NN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 36 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 37 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 19 38 group group NN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 39 around around IN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 40 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 19 41 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 42 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 43 least least JJS work_ilaebg6jyzg6nkbnfyyb4aaspa 19 44 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 19 45 middle middle NN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 46 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 19 47 1907 1907 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 19 48 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 19 49 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 19 50 probably probably RB work_ilaebg6jyzg6nkbnfyyb4aaspa 19 51 earlier early RBR work_ilaebg6jyzg6nkbnfyyb4aaspa 19 52 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 20 1 It -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 20 2 thus thus RB work_ilaebg6jyzg6nkbnfyyb4aaspa 20 3 seems seem VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 20 4 highly highly RB work_ilaebg6jyzg6nkbnfyyb4aaspa 20 5 unlikely unlikely JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 20 6 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 20 7 during during IN work_ilaebg6jyzg6nkbnfyyb4aaspa 20 8 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 20 9 several several JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 20 10 years year NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 20 11 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 20 12 followed follow VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 20 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 20 14 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 20 15 did do VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 20 16 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 20 17 hear hear VB work_ilaebg6jyzg6nkbnfyyb4aaspa 20 18 some some DT work_ilaebg6jyzg6nkbnfyyb4aaspa 20 19 talk talk NN work_ilaebg6jyzg6nkbnfyyb4aaspa 20 20 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 20 21 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 20 22 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 20 23 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 20 24 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 21 1 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 22 1 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 23 1 ” " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 23 2 But but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 23 3 she -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 4 presents present VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 5 eye eye NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 6 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 23 7 witness witness NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 8 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 23 9 contemporary contemporary JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 10 testimony testimony NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 11 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 12 Jean Jean NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 13 Metzinger Metzinger NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 14 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 23 15 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 16 artist artist NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 17 member member NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 18 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 19 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 20 group group NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 21 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 23 22 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 23 states state VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 24 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 25 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 26 influence influence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 27 ran run VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 23 28 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 29 other other JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 30 way way NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 31 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 23 32 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 23 33 Cézanne Cézanne NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 34 showed show VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 23 35 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 36 forms form NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 23 37 living live VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 23 38 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 39 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 40 reality reality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 41 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 42 light light NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 43 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 23 44 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 45 brings bring VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 46 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 47 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 48 material material JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 49 account account NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 50 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 51 their -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 52 real real JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 53 life life NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 54 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 55 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 56 mind mind NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 57 — — : work_ilaebg6jyzg6nkbnfyyb4aaspa 23 58 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 59 lays lay VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 60 out out RP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 61 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 62 free free JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 63 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 23 64 mobile mobile JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 65 perspective perspective NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 66 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 23 67 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 68 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 69 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 70 inge- inge- VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 23 71 nious nious JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 72 mathematician mathematician JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 73 Maurice Maurice NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 74 Princet Princet NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 75 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 76 deduced deduce VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 77 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 78 whole whole JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 79 geometry geometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 80 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 23 81 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 23 82 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 23 83 Metz Metz NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 84 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 23 85 Henderson Henderson NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 86 gives give VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 87 solid solid JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 88 documentation documentation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 89 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 90 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 91 interest interest NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 92 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 93 mathematical mathematical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 23 94 ideas idea NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 23 95 among among IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 96 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 23 97 artists artist NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 23 98 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 99 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 23 100 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 101 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 23 102 circle circle NN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 103 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 23 104 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 23 105 especially especially RB work_ilaebg6jyzg6nkbnfyyb4aaspa 23 106 after after IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 107 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 108 drifted drift VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 23 109 away away RB work_ilaebg6jyzg6nkbnfyyb4aaspa 23 110 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 111 him -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 23 112 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 23 113 1911 1911 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 23 114 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 24 1 And and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 24 2 if if IN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 3 images image NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 24 4 like like IN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 5 Jouf- Jouf- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 24 6 fret fret NN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 7 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 24 8 figures figure NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 24 9 were be VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 24 10 part part NN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 11 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 12 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 24 13 visual visual JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 24 14 ambience ambience NN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 15 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 16 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 24 17 1907–1910 1907–1910 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 24 18 period period NN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 19 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 24 20 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 24 21 may may MD work_ilaebg6jyzg6nkbnfyyb4aaspa 24 22 well well RB work_ilaebg6jyzg6nkbnfyyb4aaspa 24 23 have have VB work_ilaebg6jyzg6nkbnfyyb4aaspa 24 24 caught catch VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 25 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 24 26 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 24 27 omnivorous omnivorous JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 24 28 eye eye NN work_ilaebg6jyzg6nkbnfyyb4aaspa 24 29 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 25 1 But but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 25 2 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 3 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 25 4 specific specific JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 25 5 math- math- DT work_ilaebg6jyzg6nkbnfyyb4aaspa 25 6 ematical ematical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 25 7 influence influence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 8 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 9 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 25 10 there there EX work_ilaebg6jyzg6nkbnfyyb4aaspa 25 11 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 25 12 no no DT work_ilaebg6jyzg6nkbnfyyb4aaspa 25 13 evidence evidence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 14 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 25 15 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 25 16 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 25 17 presents present VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 25 18 no no DT work_ilaebg6jyzg6nkbnfyyb4aaspa 25 19 reasonable reasonable JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 25 20 argument argument NN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 21 be- be- XX work_ilaebg6jyzg6nkbnfyyb4aaspa 25 22 yond yond VB work_ilaebg6jyzg6nkbnfyyb4aaspa 25 23 his -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 25 24 own own JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 25 25 gut gut NN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 26 feeling feeling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 27 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 25 28 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 25 29 Indeed indeed RB work_ilaebg6jyzg6nkbnfyyb4aaspa 25 30 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 25 31 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 32 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 25 33 painter painter NN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 34 looking look VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 25 35 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 36 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 25 37 visual visual JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 25 38 evidence evidence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 39 I -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 25 40 find find VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 25 41 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 25 42 Picas- Picas- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 25 43 so so RB work_ilaebg6jyzg6nkbnfyyb4aaspa 25 44 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 26 1 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 27 1 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 28 1 clearly clearly RB work_ilaebg6jyzg6nkbnfyyb4aaspa 28 2 adopted adopt VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 3 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 28 4 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 28 5 methods method NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 28 6 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 7 1910 1910 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 28 8 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 28 9 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 28 10 So so RB work_ilaebg6jyzg6nkbnfyyb4aaspa 28 11 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 28 12 have have VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 28 13 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 28 14 take take VB work_ilaebg6jyzg6nkbnfyyb4aaspa 28 15 his -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 28 16 statement statement NN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 17 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 28 19 preface preface NN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 20 — — : work_ilaebg6jyzg6nkbnfyyb4aaspa 28 21 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 28 22 Pablo Pablo NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 28 23 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 28 24 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 28 25 only only RB work_ilaebg6jyzg6nkbnfyyb4aaspa 28 26 looked look VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 28 27 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 28 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 28 29 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 28 30 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 31 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 28 32 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 28 33 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 28 34 cubes cube NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 28 35 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 36 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 28 37 mathematics mathematics NN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 38 book book NN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 39 when when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 28 40 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 28 41 invented invent VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 28 42 cubism cubism NN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 43 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 28 44 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 28 45 also also RB work_ilaebg6jyzg6nkbnfyyb4aaspa 28 46 read read VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 28 47 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 28 48 text text NN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 49 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 28 50 em- em- XX work_ilaebg6jyzg6nkbnfyyb4aaspa 28 51 bracing brace VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 28 52 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 28 53 just just RB work_ilaebg6jyzg6nkbnfyyb4aaspa 28 54 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 28 55 images image NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 28 56 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 28 57 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 28 58 ideas”—as ideas”—as JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 28 59 pure pure JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 28 60 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 28 61 unadvertised unadvertised JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 28 62 invention invention NN work_ilaebg6jyzg6nkbnfyyb4aaspa 28 63 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 29 1 Let let VB work_ilaebg6jyzg6nkbnfyyb4aaspa 29 2 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 29 3 leave leave VB work_ilaebg6jyzg6nkbnfyyb4aaspa 29 4 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 29 5 last last JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 29 6 word word NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 7 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 8 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 29 9 topic topic NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 10 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 11 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 29 12 artist artist NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 13 himself -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 29 14 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 29 15 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 29 16 Mathematics Mathematics NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 29 17 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 29 18 trigonometry trigonometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 19 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 29 20 chemistry chemistry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 21 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 29 22 psychoanalysis psychoanalysis NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 23 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 29 24 music music NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 25 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 29 26 whatnot whatnot NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 27 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 29 28 have have VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 29 29 been be VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 30 related relate VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 31 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 32 cubism cubism NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 33 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 29 34 give give VB work_ilaebg6jyzg6nkbnfyyb4aaspa 29 35 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 29 36 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 29 37 easier easy JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 29 38 interpretation interpretation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 29 39 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 30 1 All all DT work_ilaebg6jyzg6nkbnfyyb4aaspa 30 2 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 30 3 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 30 4 been be VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 5 pure pure JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 30 6 literature literature NN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 7 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 30 8 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 30 9 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 30 10 say say VB work_ilaebg6jyzg6nkbnfyyb4aaspa 30 11 nonsense nonsense NN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 30 13 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 30 14 brought bring VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 30 15 bad bad JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 30 16 results result NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 30 17 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 30 18 blinding blind VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 30 19 people people NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 30 20 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 21 theories theory NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 30 22 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 30 23 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 30 24 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 30 25 Pic Pic NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 30 26 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 30 27 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 30 28 Revisionist Revisionist NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 30 29 Math math NN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 30 History history NN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 31 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 30 32 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 30 33 agenda agenda NN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 34 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 30 35 stated state VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 36 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 37 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 30 38 preface preface NN work_ilaebg6jyzg6nkbnfyyb4aaspa 30 39 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 31 1 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 31 2 Contrary contrary JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 31 3 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 31 4 popular popular JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 31 5 exposition exposition NN work_ilaebg6jyzg6nkbnfyyb4aaspa 31 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 31 7 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 31 8 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 31 9 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 31 10 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 31 11 model model NN work_ilaebg6jyzg6nkbnfyyb4aaspa 31 12 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 31 13 revolutionized revolutionize VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 31 14 thought thought NN work_ilaebg6jyzg6nkbnfyyb4aaspa 31 15 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 31 16 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 31 17 beginning beginning NN work_ilaebg6jyzg6nkbnfyyb4aaspa 31 18 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 31 19 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 31 20 twentieth twentieth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 31 21 century century NN work_ilaebg6jyzg6nkbnfyyb4aaspa 31 22 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 32 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 2 ideas idea NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 3 developed develop VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 32 4 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 5 part part NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 6 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 7 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 8 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 9 metaphor metaphor NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 10 continue continue VB work_ilaebg6jyzg6nkbnfyyb4aaspa 32 11 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 32 12 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 32 13 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 14 basis basis NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 15 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 16 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 17 most most RBS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 18 advanced advanced JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 19 contemporary contemporary JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 20 thought thought NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 21 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 22 mathematics mathematic NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 23 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 32 24 physics physics NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 25 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 32 26 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 32 27 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 28 rest rest NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 29 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 30 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 31 para- para- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 32 graph graph NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 33 amplifies amplifie NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 34 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 35 assertion assertion NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 36 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 32 37 naming name VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 32 38 projective projective JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 39 geometry geometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 40 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 32 41 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 42 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 32 43 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 44 cited cite VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 45 above above RB work_ilaebg6jyzg6nkbnfyyb4aaspa 32 46 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 32 47 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 32 48 Minkowski Minkowski NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 49 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 32 50 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 32 51 had have VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 32 52 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 53 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 54 model model NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 55 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 56 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 57 back back NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 58 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 59 his -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 60 head head NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 61 when when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 32 62 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 63 used use VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 32 64 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 32 65 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 32 66 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 67 geometry geometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 68 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 32 69 cod- cod- VB work_ilaebg6jyzg6nkbnfyyb4aaspa 32 70 ify ify VB work_ilaebg6jyzg6nkbnfyyb4aaspa 32 71 special special JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 72 relativity relativity NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 73 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 32 74 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 32 75 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 32 76 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 77 Bruijn Bruijn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 78 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 32 79 his -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 80 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 32 81 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 82 algorithms algorithm NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 83 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 84 generating generate VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 32 85 quasicrystals quasicrystal NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 86 revolution- revolution- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 87 ized ize VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 32 88 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 89 way way NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 90 mathematicians mathematician NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 91 think think VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 92 about about IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 93 patterns pattern NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 94 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 32 95 lattices lattice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 96 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 32 97 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 32 98 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 32 99 Penrose Penrose NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 100 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 32 101 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 32 102 showed show VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 32 103 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 104 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 105 light light JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 106 ray ray NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 107 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 108 more more JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 32 109 like like IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 110 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 111 projected project VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 112 line line NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 113 than than IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 114 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 115 regular regular JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 116 line line NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 117 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 118 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 119 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 32 120 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 32 121 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 122 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 123 insight insight NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 124 leading lead VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 32 125 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 126 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 32 127 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 128 most most RBS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 129 provocative provocative JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 130 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 32 131 profound profound JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 32 132 restructuring restructuring NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 133 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 134 physics physics NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 135 since since IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 136 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 32 137 discoveries discovery NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 32 138 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 139 Albert Albert NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 140 Einstein Einstein NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 141 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 32 142 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 32 143 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 32 144 quantum quantum NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 32 145 information information NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 146 theory theory NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 147 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 32 148 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 32 149 quantum quantum NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 150 foam foam NN work_ilaebg6jyzg6nkbnfyyb4aaspa 32 151 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 33 1 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 33 2 Such such JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 33 3 new new JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 33 4 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 5 models model NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 33 6 present present VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 33 7 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 33 8 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 9 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 33 10 understand- understand- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 33 11 ing ing NN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 12 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 33 13 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 33 14 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 33 15 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 33 16 reduced reduce VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 17 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 18 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 33 19 Flatland Flatland NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 33 20 model model NN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 21 without without IN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 22 introducing introduce VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 33 23 hopeless hopeless JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 33 24 paradox paradox NN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 25 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 33 26 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 33 27 These these DT work_ilaebg6jyzg6nkbnfyyb4aaspa 33 28 items item NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 33 29 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 33 30 fleshed flesh VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 31 out out RP work_ilaebg6jyzg6nkbnfyyb4aaspa 33 32 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 33 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 33 34 main main JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 33 35 text text NN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 36 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 37 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 33 38 book book NN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 39 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 33 40 roughly roughly RB work_ilaebg6jyzg6nkbnfyyb4aaspa 33 41 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 33 42 per per IN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 43 chapter chapter NN work_ilaebg6jyzg6nkbnfyyb4aaspa 33 44 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 34 1 I -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 34 2 will will MD work_ilaebg6jyzg6nkbnfyyb4aaspa 34 3 look look VB work_ilaebg6jyzg6nkbnfyyb4aaspa 34 4 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 34 5 detail detail NN work_ilaebg6jyzg6nkbnfyyb4aaspa 34 6 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 34 7 Chapter chapter NN work_ilaebg6jyzg6nkbnfyyb4aaspa 34 8 4 4 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 34 9 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 34 10 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 34 11 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 34 12 Truth Truth NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 34 13 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 34 14 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 34 15 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 34 16 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 34 17 covers cover VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 34 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 34 19 geometry geometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 34 20 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 34 21 relativity relativity NN work_ilaebg6jyzg6nkbnfyyb4aaspa 34 22 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 34 23 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 34 24 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 34 25 Chapter chapter NN work_ilaebg6jyzg6nkbnfyyb4aaspa 34 26 6 6 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 34 27 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 34 28 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 34 29 Patterns Patterns NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 34 30 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 34 31 Crystals Crystals NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 34 32 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 34 33 Projections Projections NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 34 34 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 34 35 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 35 1 Relativity relativity NN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 2 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 35 3 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 35 4 Time time NN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 5 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 6 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 35 7 Fourth Fourth NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 35 8 Dimen- Dimen- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 35 9 sion sion NN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 10 For for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 11 mathematicians mathematician NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 35 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 35 13 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 14 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 35 15 often often RB work_ilaebg6jyzg6nkbnfyyb4aaspa 35 16 just just RB work_ilaebg6jyzg6nkbnfyyb4aaspa 35 17 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 35 18 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 19 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 35 20 parameters parameter NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 35 21 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 22 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 35 23 object object NN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 24 under under IN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 25 investigation investigation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 35 26 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 36 1 Their -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 36 2 work work NN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 3 may may MD work_ilaebg6jyzg6nkbnfyyb4aaspa 36 4 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 36 5 set set VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 6 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 7 arbitrary arbitrary JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 36 8 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 9 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 36 10 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 36 11 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 12 di- di- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 13 mension mension NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 14 n n NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 15 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 36 16 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 36 17 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 36 18 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 36 19 say say VB work_ilaebg6jyzg6nkbnfyyb4aaspa 36 20 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 36 21 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 22 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 23 24 24 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 36 24 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 36 25 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 26 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 27 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 36 28 work work NN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 29 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 30 Henry Henry NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 31 Cohn Cohn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 32 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 36 33 Abhinav Abhinav NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 34 Kumar Kumar NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 35 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 36 36 who who WP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 37 caused cause VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 36 38 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 36 39 stir stir NN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 40 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 41 2004 2004 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 36 42 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 36 43 Cohn Cohn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 44 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 36 45 when when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 36 46 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 36 47 nailed nail VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 36 48 down down RB work_ilaebg6jyzg6nkbnfyyb4aaspa 36 49 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 36 50 closest close JJS work_ilaebg6jyzg6nkbnfyyb4aaspa 36 51 regular regular JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 36 52 packing packing NN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 53 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 54 24-dimensional 24-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 36 55 balls ball NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 36 56 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 57 24-dimensional 24-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 36 58 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 36 59 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 37 1 So so RB work_ilaebg6jyzg6nkbnfyyb4aaspa 37 2 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 37 3 really really RB work_ilaebg6jyzg6nkbnfyyb4aaspa 37 4 should should MD work_ilaebg6jyzg6nkbnfyyb4aaspa 37 5 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 37 6 talk- talk- VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 37 7 ing e VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 37 8 about about IN work_ilaebg6jyzg6nkbnfyyb4aaspa 37 9 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 37 10 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 37 11 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 37 12 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 37 13 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 37 14 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 37 15 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 37 16 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 37 17 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 37 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 37 19 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 37 20 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 37 21 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 37 22 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 38 1 For for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 38 2 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 38 3 general general JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 38 4 public public NN work_ilaebg6jyzg6nkbnfyyb4aaspa 38 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 38 6 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 38 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 38 8 other other JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 38 9 hand hand NN work_ilaebg6jyzg6nkbnfyyb4aaspa 38 10 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 38 11 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 38 12 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 38 13 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 38 14 esoteric esoteric JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 38 15 enough enough RB work_ilaebg6jyzg6nkbnfyyb4aaspa 38 16 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 39 1 They -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 39 2 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 39 3 usually usually RB work_ilaebg6jyzg6nkbnfyyb4aaspa 39 4 thought think VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 39 5 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 39 6 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 39 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 39 8 familiar familiar JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 39 9 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 39 10 plus plus CC work_ilaebg6jyzg6nkbnfyyb4aaspa 39 11 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 39 12 more more JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 39 13 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 39 14 hence hence RB work_ilaebg6jyzg6nkbnfyyb4aaspa 39 15 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 39 16 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 39 17 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 39 18 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 39 19 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 39 20 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 40 1 So so CC work_ilaebg6jyzg6nkbnfyyb4aaspa 40 2 where where WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 40 3 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 40 4 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 40 5 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 40 6 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 40 7 ? ? . work_ilaebg6jyzg6nkbnfyyb4aaspa 41 1 Nineteenth nineteenth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 41 2 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 41 3 century century NN work_ilaebg6jyzg6nkbnfyyb4aaspa 41 4 work work NN work_ilaebg6jyzg6nkbnfyyb4aaspa 41 5 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 41 6 4-dimensional 4-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 41 7 polytopes polytope NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 41 8 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 41 9 reviewed review VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 41 10 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 41 11 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 41 12 Cox Cox NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 41 13 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 41 14 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 41 15 clearly clearly RB work_ilaebg6jyzg6nkbnfyyb4aaspa 41 16 posited posit VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 41 17 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 41 18 extra extra JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 41 19 spatial spatial JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 41 20 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 41 21 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 42 1 But but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 42 2 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 42 3 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 42 4 same same JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 42 5 time time NN work_ilaebg6jyzg6nkbnfyyb4aaspa 42 6 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 42 7 tradition tradition NN work_ilaebg6jyzg6nkbnfyyb4aaspa 42 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 42 9 going go VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 42 10 back back RB work_ilaebg6jyzg6nkbnfyyb4aaspa 42 11 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 42 12 Laplace Laplace NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 42 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 42 14 considered consider VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 42 15 time time NN work_ilaebg6jyzg6nkbnfyyb4aaspa 42 16 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 42 17 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 42 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 42 19 fourth fourth JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 42 20 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 42 21 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 42 22 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 43 1 In in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 2 fact fact NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 3 partial partial JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 43 4 differential differential NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 5 equations equation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 43 6 relating relate VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 43 7 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 8 deriva- deriva- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 9 tives tive NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 43 10 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 11 time time NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 12 derivatives derivative NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 43 13 leave leave VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 43 14 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 43 15 no no DT work_ilaebg6jyzg6nkbnfyyb4aaspa 43 16 choice choice NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 17 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 43 18 their -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 43 19 natural natural JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 43 20 domain domain NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 21 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 22 definition definition NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 23 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 43 24 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 43 25 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 43 26 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 43 27 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 28 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 43 29 time time NN work_ilaebg6jyzg6nkbnfyyb4aaspa 43 30 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 44 1 Here here RB work_ilaebg6jyzg6nkbnfyyb4aaspa 44 2 there there EX work_ilaebg6jyzg6nkbnfyyb4aaspa 44 3 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 44 4 some some DT work_ilaebg6jyzg6nkbnfyyb4aaspa 44 5 point point NN work_ilaebg6jyzg6nkbnfyyb4aaspa 44 6 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 44 7 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 44 8 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 44 9 anti anti JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 44 10 - - JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 44 11 slicing slicing JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 44 12 strictures stricture NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 44 13 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 45 1 Special special JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 45 2 relativity relativity NN work_ilaebg6jyzg6nkbnfyyb4aaspa 45 3 implies imply VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 45 4 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 45 5 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 45 6 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 45 7 time time NN work_ilaebg6jyzg6nkbnfyyb4aaspa 45 8 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 45 9 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 45 10 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 45 11 described describe VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 45 12 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 45 13 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 45 14 stack stack NN work_ilaebg6jyzg6nkbnfyyb4aaspa 45 15 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 45 16 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 45 17 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 45 18 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 45 19 constant constant JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 45 20 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 45 21 time time NN work_ilaebg6jyzg6nkbnfyyb4aaspa 45 22 slices slice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 45 23 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 46 1 More more RBR work_ilaebg6jyzg6nkbnfyyb4aaspa 46 2 precisely precisely RB work_ilaebg6jyzg6nkbnfyyb4aaspa 46 3 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 46 4 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 46 5 most most RBS work_ilaebg6jyzg6nkbnfyyb4aaspa 46 6 general general JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 46 7 Lorentz Lorentz NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 8 transformation transformation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 9 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 46 10 relating relate VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 46 11 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 46 12 over- over- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 13 lapping lapping NN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 14 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 46 15 x x NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 16 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 46 17 y y NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 18 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 46 19 z z NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 20 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 46 21 t t NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 22 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 46 23 coordinate coordinate VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 24 systems system NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 46 25 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 26 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 46 27 one one PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 28 may may MD work_ilaebg6jyzg6nkbnfyyb4aaspa 46 29 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 46 30 traveling travel VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 46 31 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 32 constant constant JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 46 33 speed speed NN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 34 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 35 respect respect NN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 36 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 37 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 46 38 other other JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 46 39 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 46 40 mixes mix VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 46 41 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 46 42 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 46 43 x x NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 44 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 46 45 y y NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 46 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 46 47 z)s z)s NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 48 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 46 49 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 46 50 ts ts NN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 51 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 52 such such PDT work_ilaebg6jyzg6nkbnfyyb4aaspa 46 53 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 46 54 way way NN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 55 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 46 56 the{t the{t NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 57 = = NFP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 58 constant}slices constant}slices NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 59 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 46 60 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 46 61 preserved preserve VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 46 62 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 47 1 But but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 47 2 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 47 3 do do VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 47 4 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 47 5 help help VB work_ilaebg6jyzg6nkbnfyyb4aaspa 47 6 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 48 1 Here here RB work_ilaebg6jyzg6nkbnfyyb4aaspa 48 2 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 3 Minkowski Minkowski NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 4 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 5 quoted quote VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 6 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 7 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 8 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 48 9 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 48 10 We -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 11 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 12 compelled compel VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 13 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 48 14 admit admit VB work_ilaebg6jyzg6nkbnfyyb4aaspa 48 15 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 16 April April NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 17 2007 2007 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 48 18 Notices Notices NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 19 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 20 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 48 21 AMS AMS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 22 505 505 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 48 23 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 24 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 25 only only RB work_ilaebg6jyzg6nkbnfyyb4aaspa 48 26 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 27 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 48 28 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 48 29 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 48 30 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 48 31 relations relation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 48 32 here here RB work_ilaebg6jyzg6nkbnfyyb4aaspa 48 33 taken take VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 34 under under IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 35 consideration consideration NN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 36 reveal reveal VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 37 their -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 38 inner inner JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 39 being being NN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 40 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 41 full full JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 42 simplicity simplicity NN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 43 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 48 44 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 48 45 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 46 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 47 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 48 48 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 48 49 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 48 50 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 51 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 52 forced force VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 53 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 54 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 55 a a FW work_ilaebg6jyzg6nkbnfyyb4aaspa 48 56 priori priori FW work_ilaebg6jyzg6nkbnfyyb4aaspa 48 57 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 58 cast cast VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 48 59 only only RB work_ilaebg6jyzg6nkbnfyyb4aaspa 48 60 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 48 61 very very RB work_ilaebg6jyzg6nkbnfyyb4aaspa 48 62 complicated complicated JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 63 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 64 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 48 65 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 48 66 Minkowski Minkowski NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 67 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 68 saying say VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 48 69 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 70 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 48 71 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 72 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 48 73 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 48 74 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 75 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 48 76 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 48 77 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 48 78 very very RB work_ilaebg6jyzg6nkbnfyyb4aaspa 48 79 useful useful JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 80 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 81 understanding understand VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 48 82 relativistic relativistic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 48 83 reality reality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 48 84 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 49 1 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 49 2 gets get VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 49 3 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 49 4 word word NN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 5 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 49 6 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 7 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 49 8 back back RB work_ilaebg6jyzg6nkbnfyyb4aaspa 49 9 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 10 play play NN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 11 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 12 describing describe VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 49 13 Lorentz Lorentz NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 49 14 transformations transformation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 49 15 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 16 being be VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 49 17 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 49 18 revealed reveal VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 19 when when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 49 20 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 49 21 geometric geometric JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 49 22 description description NN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 23 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 24 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 25 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 49 26 projected project VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 27 onto onto IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 28 another another DT work_ilaebg6jyzg6nkbnfyyb4aaspa 49 29 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 49 30 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 49 31 But but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 49 32 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 49 33 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 49 34 here here RB work_ilaebg6jyzg6nkbnfyyb4aaspa 49 35 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 49 36 isomorphisms isomorphism NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 49 37 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 38 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 49 39 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 49 40 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 49 41 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 49 42 co- co- XX work_ilaebg6jyzg6nkbnfyyb4aaspa 49 43 ordinate ordinate NN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 44 system system NN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 45 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 46 another another DT work_ilaebg6jyzg6nkbnfyyb4aaspa 49 47 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 49 48 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 49 49 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 49 50 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 49 51 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 49 52 kind kind NN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 53 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 54 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 49 55 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 49 56 onto onto IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 57 lower low JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 49 58 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 49 59 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 49 60 spaces space NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 49 61 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 49 62 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 63 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 49 64 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 49 65 contrasting contrast VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 49 66 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 49 67 slicing slice VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 49 68 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 50 1 Patterns pattern NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 50 2 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 50 3 Crystals Crystals NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 50 4 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 50 5 Projections Projections NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 50 6 Chapter Chapter NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 50 7 6 6 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 50 8 begins begin VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 50 9 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 50 10 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 50 11 description description NN work_ilaebg6jyzg6nkbnfyyb4aaspa 50 12 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 50 13 nonperiodic nonperiodic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 50 14 tilings tiling NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 50 15 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 50 16 how how WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 50 17 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 50 18 may may MD work_ilaebg6jyzg6nkbnfyyb4aaspa 50 19 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 50 20 generated generate VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 50 21 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 50 22 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 50 23 match- match- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 50 24 ing ing NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 50 25 rules rule NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 50 26 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 50 27 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 50 28 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 50 29 repeated repeat VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 50 30 dissection dissection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 50 31 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 50 32 inflation inflation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 50 33 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 51 1 It -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 51 2 then then RB work_ilaebg6jyzg6nkbnfyyb4aaspa 51 3 goes go VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 51 4 on on RP work_ilaebg6jyzg6nkbnfyyb4aaspa 51 5 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 51 6 discuss discuss VB work_ilaebg6jyzg6nkbnfyyb4aaspa 51 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 51 8 fascinating fascinating JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 51 9 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 51 10 il- il- XX work_ilaebg6jyzg6nkbnfyyb4aaspa 51 11 luminating luminate VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 51 12 relationship relationship NN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 51 14 discovered discover VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 15 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 16 Nicolaas Nicolaas NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 51 17 de de FW work_ilaebg6jyzg6nkbnfyyb4aaspa 51 18 Bruijn Bruijn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 51 19 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 51 20 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 51 21 B B NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 51 22 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 51 23 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 51 24 between between IN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 25 nonperiodic nonperiodic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 51 26 tilings tiling NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 51 27 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 28 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 29 n n NN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 30 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 51 31 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 51 32 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 33 approximations approximation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 51 34 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 35 irrational irrational JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 51 36 slices slice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 51 37 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 38 periodic periodic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 51 39 tilings tiling NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 51 40 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 51 41 cubical cubical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 51 42 lattices lattice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 51 43 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 44 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 51 45 2n 2n CD work_ilaebg6jyzg6nkbnfyyb4aaspa 51 46 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 51 47 2n 2n CD work_ilaebg6jyzg6nkbnfyyb4aaspa 51 48 + + SYM work_ilaebg6jyzg6nkbnfyyb4aaspa 51 49 1 1 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 51 50 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 52 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 52 2 simplest simple JJS work_ilaebg6jyzg6nkbnfyyb4aaspa 52 3 example example NN work_ilaebg6jyzg6nkbnfyyb4aaspa 52 4 involves involve VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 52 5 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 52 6 1 1 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 52 7 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 52 8 2 2 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 52 9 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 52 10 take take VB work_ilaebg6jyzg6nkbnfyyb4aaspa 52 11 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 52 12 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 52 13 x x NN work_ilaebg6jyzg6nkbnfyyb4aaspa 52 14 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 52 15 y)-plane y)-plane , work_ilaebg6jyzg6nkbnfyyb4aaspa 52 16 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 52 17 its -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 52 18 usual usual JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 52 19 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 52 20 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 52 21 unit unit NN work_ilaebg6jyzg6nkbnfyyb4aaspa 52 22 squares square NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 52 23 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 52 24 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 52 25 vertices vertex NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 52 26 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 52 27 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 52 28 points point NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 52 29 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 52 30 n n NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 52 31 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 52 32 m m NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 52 33 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 52 34 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 52 35 integer integer NN work_ilaebg6jyzg6nkbnfyyb4aaspa 52 36 coordinates coordinate NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 52 37 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 53 1 Draw draw VB work_ilaebg6jyzg6nkbnfyyb4aaspa 53 2 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 53 3 straight straight JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 53 4 line line NN work_ilaebg6jyzg6nkbnfyyb4aaspa 53 5 y y NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 53 6 = = SYM work_ilaebg6jyzg6nkbnfyyb4aaspa 53 7 ϕx ϕx FW work_ilaebg6jyzg6nkbnfyyb4aaspa 53 8 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 53 9 irrational irrational JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 53 10 slope slope NN work_ilaebg6jyzg6nkbnfyyb4aaspa 53 11 ϕ ϕ NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 53 12 = = SYM work_ilaebg6jyzg6nkbnfyyb4aaspa 53 13 1.6180339 1.6180339 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 53 14 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 54 1 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 55 1 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 56 1 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 56 2 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 56 3 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 56 4 golden golden NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 56 5 mean mean NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 56 6 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 56 7 number number NN work_ilaebg6jyzg6nkbnfyyb4aaspa 56 8 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 56 9 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 57 1 Starting start VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 57 2 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 57 3 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 57 4 0 0 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 57 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 57 6 0 0 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 57 7 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 57 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 57 9 cover cover VB work_ilaebg6jyzg6nkbnfyyb4aaspa 57 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 57 11 line line NN work_ilaebg6jyzg6nkbnfyyb4aaspa 57 12 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 57 13 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 57 14 smallest small JJS work_ilaebg6jyzg6nkbnfyyb4aaspa 57 15 possible possible JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 57 16 subset subset NN work_ilaebg6jyzg6nkbnfyyb4aaspa 57 17 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 57 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 57 19 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 57 20 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 58 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 58 2 squares square NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 58 3 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 58 4 shown show VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 58 5 here here RB work_ilaebg6jyzg6nkbnfyyb4aaspa 58 6 shaded shaded JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 58 7 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 59 1 Because because IN work_ilaebg6jyzg6nkbnfyyb4aaspa 59 2 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 59 3 slope slope NN work_ilaebg6jyzg6nkbnfyyb4aaspa 59 4 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 59 5 irrational irrational JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 59 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 59 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 59 8 line line NN work_ilaebg6jyzg6nkbnfyyb4aaspa 59 9 does do VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 59 10 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 59 11 pass pass VB work_ilaebg6jyzg6nkbnfyyb4aaspa 59 12 through through RP work_ilaebg6jyzg6nkbnfyyb4aaspa 59 13 any any DT work_ilaebg6jyzg6nkbnfyyb4aaspa 59 14 lattice lattice NN work_ilaebg6jyzg6nkbnfyyb4aaspa 59 15 vertex vertex NN work_ilaebg6jyzg6nkbnfyyb4aaspa 59 16 other other JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 59 17 than than IN work_ilaebg6jyzg6nkbnfyyb4aaspa 59 18 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 59 19 0 0 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 59 20 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 59 21 0 0 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 59 22 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 59 23 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 59 24 so so CC work_ilaebg6jyzg6nkbnfyyb4aaspa 59 25 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 59 26 choice choice NN work_ilaebg6jyzg6nkbnfyyb4aaspa 59 27 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 59 28 covering cover VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 59 29 tile tile NN work_ilaebg6jyzg6nkbnfyyb4aaspa 59 30 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 59 31 always always RB work_ilaebg6jyzg6nkbnfyyb4aaspa 59 32 unambiguous unambiguous JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 59 33 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 60 1 Now now RB work_ilaebg6jyzg6nkbnfyyb4aaspa 60 2 project project VB work_ilaebg6jyzg6nkbnfyyb4aaspa 60 3 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 60 4 center center NN work_ilaebg6jyzg6nkbnfyyb4aaspa 60 5 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 60 6 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 60 7 covering cover VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 60 8 tile tile NN work_ilaebg6jyzg6nkbnfyyb4aaspa 60 9 per- per- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 60 10 pendicularly pendicularly RB work_ilaebg6jyzg6nkbnfyyb4aaspa 60 11 onto onto IN work_ilaebg6jyzg6nkbnfyyb4aaspa 60 12 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 60 13 irrational irrational JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 60 14 line line NN work_ilaebg6jyzg6nkbnfyyb4aaspa 60 15 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 61 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 61 2 projected project VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 61 3 points point NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 61 4 will will MD work_ilaebg6jyzg6nkbnfyyb4aaspa 61 5 define define VB work_ilaebg6jyzg6nkbnfyyb4aaspa 61 6 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 61 7 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 61 8 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 61 9 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 61 10 line line NN work_ilaebg6jyzg6nkbnfyyb4aaspa 61 11 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 61 12 intervals interval NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 61 13 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 61 14 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 61 15 long long JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 61 16 interval interval NN work_ilaebg6jyzg6nkbnfyyb4aaspa 61 17 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 61 18 L L NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 61 19 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 61 20 if if IN work_ilaebg6jyzg6nkbnfyyb4aaspa 61 21 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 61 22 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 61 23 consecutive consecutive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 61 24 tiles tile NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 61 25 were be VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 61 26 adjacent adjacent JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 61 27 vertically vertically RB work_ilaebg6jyzg6nkbnfyyb4aaspa 61 28 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 61 29 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 61 30 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 61 31 short short JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 61 32 one one NN work_ilaebg6jyzg6nkbnfyyb4aaspa 61 33 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 61 34 S S NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 61 35 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 61 36 if if IN work_ilaebg6jyzg6nkbnfyyb4aaspa 61 37 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 61 38 were be VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 61 39 adjacent adjacent JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 61 40 horizontally horizontally RB work_ilaebg6jyzg6nkbnfyyb4aaspa 61 41 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 62 1 A a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 62 2 trigonometric trigonometric JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 62 3 calculation calculation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 62 4 shows show VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 62 5 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 62 6 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 62 7 length length NN work_ilaebg6jyzg6nkbnfyyb4aaspa 62 8 ratio ratio NN work_ilaebg6jyzg6nkbnfyyb4aaspa 62 9 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 62 10 S s NN work_ilaebg6jyzg6nkbnfyyb4aaspa 62 11 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 62 12 L L NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 62 13 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 62 14 ϕ. ϕ. NN work_ilaebg6jyzg6nkbnfyyb4aaspa 63 1 Our -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 2 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 63 3 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 63 4 intervals interval NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 63 5 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 6 non non JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 7 - - JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 8 periodic periodic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 9 because because IN work_ilaebg6jyzg6nkbnfyyb4aaspa 63 10 ϕ ϕ NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 63 11 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 12 irrational irrational JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 63 14 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 63 15 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 63 16 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 17 other other JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 18 amazing amazing JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 19 properties property NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 63 20 because because IN work_ilaebg6jyzg6nkbnfyyb4aaspa 63 21 ϕ ϕ NN work_ilaebg6jyzg6nkbnfyyb4aaspa 63 22 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 23 such such PDT work_ilaebg6jyzg6nkbnfyyb4aaspa 63 24 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 63 25 special special JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 63 26 number number NN work_ilaebg6jyzg6nkbnfyyb4aaspa 63 27 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 64 1 For for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 2 example example NN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 3 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 64 4 if if IN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 5 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 64 6 represent represent VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 64 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 64 8 short short JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 64 9 tile tile NN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 10 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 11 S S NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 64 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 64 13 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 64 14 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 64 15 long long JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 64 16 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 64 17 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 18 L l NN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 19 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 64 20 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 64 21 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 22 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 23 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 64 24 positive positive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 64 25 x x NN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 26 - - : work_ilaebg6jyzg6nkbnfyyb4aaspa 64 27 axis axis RB work_ilaebg6jyzg6nkbnfyyb4aaspa 64 28 corresponds correspond VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 64 29 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 30 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 64 31 sequence sequence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 32 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 64 33 Ls Ls NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 64 34 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 64 35 Ss Ss NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 64 36 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 65 1 It -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 65 2 turns turn VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 65 3 out out RP work_ilaebg6jyzg6nkbnfyyb4aaspa 65 4 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 65 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 65 6 argument argument NN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 7 requires require VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 65 8 some some DT work_ilaebg6jyzg6nkbnfyyb4aaspa 65 9 linear linear JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 65 10 algebra algebra NN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 11 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 65 12 see see VB work_ilaebg6jyzg6nkbnfyyb4aaspa 65 13 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 65 14 web web NN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 15 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 65 16 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 65 17 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 65 19 sequence sequence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 20 may may MD work_ilaebg6jyzg6nkbnfyyb4aaspa 65 21 also also RB work_ilaebg6jyzg6nkbnfyyb4aaspa 65 22 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 65 23 generated generate VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 24 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 25 follows follow VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 65 26 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 65 27 start start VB work_ilaebg6jyzg6nkbnfyyb4aaspa 65 28 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 29 S S NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 65 30 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 65 31 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 65 32 copy copy VB work_ilaebg6jyzg6nkbnfyyb4aaspa 65 33 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 65 34 string string NN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 35 over over RP work_ilaebg6jyzg6nkbnfyyb4aaspa 65 36 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 65 37 over over RB work_ilaebg6jyzg6nkbnfyyb4aaspa 65 38 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 65 39 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 65 40 time time NN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 41 rewriting rewrite VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 65 42 every every DT work_ilaebg6jyzg6nkbnfyyb4aaspa 65 43 S S NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 65 44 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 45 L l NN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 46 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 65 47 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 65 48 every every DT work_ilaebg6jyzg6nkbnfyyb4aaspa 65 49 L l NN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 50 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 51 LS LS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 65 52 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 65 53 Figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 65 54 1 1 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 65 55 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 66 1 S S NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 66 2 L L NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 66 3 LS LS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 66 4 LSL LSL NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 66 5 LSLLS LSLLS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 66 6 LSLLSLSL LSLLSLSL NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 66 7 LSLLSLSLLSLLS LSLLSLSLLSLLS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 66 8 LSLLSLSLLSLLSLSLLSLSL LSLLSLSLLSLLSLSLLSLSL NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 66 9 LSLLSLSLLSLLSLSLLSLSLLSLLSLSLLSLLS lsllslsllsllslsllslsllsllslsllsll NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 66 10 ... ... . work_ilaebg6jyzg6nkbnfyyb4aaspa 67 1 Figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 67 2 2 2 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 67 3 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 68 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 68 2 sequence sequence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 68 3 may may MD work_ilaebg6jyzg6nkbnfyyb4aaspa 68 4 also also RB work_ilaebg6jyzg6nkbnfyyb4aaspa 68 5 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 68 6 generated generate VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 68 7 like like IN work_ilaebg6jyzg6nkbnfyyb4aaspa 68 8 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 68 9 Fi- Fi- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 68 10 bonacci bonacci NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 68 11 numbers number NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 68 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 68 13 starting start VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 68 14 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 68 15 S S NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 68 16 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 68 17 L L NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 68 18 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 68 19 making make VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 68 20 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 68 21 succeeding succeed VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 68 22 line line NN work_ilaebg6jyzg6nkbnfyyb4aaspa 68 23 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 68 24 concatenation concatenation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 68 25 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 68 26 its -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 68 27 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 68 28 predecessors predecessor NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 68 29 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 69 1 And and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 69 2 there there EX work_ilaebg6jyzg6nkbnfyyb4aaspa 69 3 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 69 4 more more JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 69 5 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 70 1 Instead instead RB work_ilaebg6jyzg6nkbnfyyb4aaspa 70 2 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 3 drawing draw VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 70 4 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 5 line line NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 6 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 7 golden golden JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 70 8 slope slope NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 9 through through IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 11 2-dimensional 2-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 70 12 lattice lattice NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 13 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 14 unit unit NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 15 squares square NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 70 16 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 70 17 let let VB work_ilaebg6jyzg6nkbnfyyb4aaspa 70 18 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 70 19 slice slice VB work_ilaebg6jyzg6nkbnfyyb4aaspa 70 20 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 21 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 22 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 70 23 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 24 golden golden JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 70 25 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 26 — — : work_ilaebg6jyzg6nkbnfyyb4aaspa 70 27 see see VB work_ilaebg6jyzg6nkbnfyyb4aaspa 70 28 below below RB work_ilaebg6jyzg6nkbnfyyb4aaspa 70 29 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 70 30 through through IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 31 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 32 analogous analogous JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 70 33 5-dimensional 5-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 70 34 lattice lattice NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 35 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 70 36 cov- cov- RB work_ilaebg6jyzg6nkbnfyyb4aaspa 70 37 er er UH work_ilaebg6jyzg6nkbnfyyb4aaspa 70 38 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 39 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 40 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 41 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 42 smallest small JJS work_ilaebg6jyzg6nkbnfyyb4aaspa 70 43 possible possible JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 70 44 subset subset NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 45 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 46 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 47 5-cubes 5-cubes CD work_ilaebg6jyzg6nkbnfyyb4aaspa 70 48 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 49 that that DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 50 lattice lattice NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 51 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 70 52 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 70 53 project project VB work_ilaebg6jyzg6nkbnfyyb4aaspa 70 54 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 55 center center JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 70 56 points point NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 70 57 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 58 those those DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 59 cubes cube NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 70 60 orthogonally orthogonally RB work_ilaebg6jyzg6nkbnfyyb4aaspa 70 61 onto onto IN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 62 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 70 63 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 70 64 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 71 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 71 2 projected project VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 71 3 points point NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 71 4 turn turn VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 71 5 out out RP work_ilaebg6jyzg6nkbnfyyb4aaspa 71 6 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 71 7 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 71 8 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 71 9 vertices vertex NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 71 10 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 71 11 Penrose Penrose NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 71 12 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 71 13 non non JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 71 14 - - JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 71 15 periodic periodic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 71 16 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 71 17 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 71 18 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 71 19 B B NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 71 20 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 71 21 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 72 1 In in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 2 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 72 3 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 4 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 72 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 72 6 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 7 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 72 8 covered cover VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 9 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 10 copies copy NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 72 11 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 12 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 72 13 rhombs rhomb NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 72 14 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 72 15 equi- equi- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 16 lateral lateral JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 72 17 parallelograms parallelogram NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 72 18 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 72 19 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 72 20 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 72 21 fat fat JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 72 22 one one NN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 23 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 72 24 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 25 lesser less JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 72 26 angle angle NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 72 27 2π/5 2π/5 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 72 28 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 72 29 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 72 30 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 72 31 skinny skinny NN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 32 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 72 33 π/5 π/5 NN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 34 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 72 35 whose whose WP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 72 36 areas area NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 72 37 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 72 38 just just RB work_ilaebg6jyzg6nkbnfyyb4aaspa 72 39 like like IN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 40 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 72 41 lengths length NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 72 42 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 43 L l NN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 44 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 72 45 S S NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 72 46 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 72 47 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 72 48 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 49 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 72 50 golden golden JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 72 51 ratio ratio NN work_ilaebg6jyzg6nkbnfyyb4aaspa 72 52 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 73 1 506 506 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 2 Notices notice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 73 3 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 4 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 73 5 AMS AMS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 6 Volume Volume NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 7 54 54 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 9 Number number NN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 10 4 4 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 11 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 12 We -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 13 use use VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 14 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 73 15 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 16 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 17 5-space 5-space CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 18 spanned span VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 19 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 20 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 73 21 vectors vector NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 73 22 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 23 1,− 1,− CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 24 cos(π/5 cos(π/5 NN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 25 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 26 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 27 cos(2π/5 cos(2π/5 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 28 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 29 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 30 − − NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 31 cos(3π/5 cos(3π/5 XX work_ilaebg6jyzg6nkbnfyyb4aaspa 73 32 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 33 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 34 cos(4π/5 cos(4π/5 XX work_ilaebg6jyzg6nkbnfyyb4aaspa 73 35 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 36 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 37 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 73 38 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 39 0,− 0,− CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 40 sin(π/5 sin(π/5 NN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 41 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 42 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 43 sin(2π/5 sin(2π/5 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 44 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 45 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 46 − − NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 47 sin(3π/5 sin(3π/5 VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 48 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 49 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 50 sin(4π/5 sin(4π/5 NN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 51 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 52 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 53 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 54 web2 web2 NN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 55 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 56 ; ; , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 57 equivalently equivalently RB work_ilaebg6jyzg6nkbnfyyb4aaspa 73 58 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 59 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 60 terms term NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 73 61 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 62 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 73 63 golden golden JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 73 64 mean mean NN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 65 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 66 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 67 may may MD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 68 scale scale VB work_ilaebg6jyzg6nkbnfyyb4aaspa 73 69 those those DT work_ilaebg6jyzg6nkbnfyyb4aaspa 73 70 vectors vector NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 73 71 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 73 72 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 73 2,−ϕ,ϕ 2,−ϕ,ϕ CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 74 − − NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 75 1,ϕ 1,ϕ CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 76 − − NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 73 77 1,−ϕ 1,−ϕ CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 78 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 79 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 73 80 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 81 0,−1,ϕ,−ϕ 0,−1,ϕ,−ϕ CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 82 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 73 83 1 1 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 73 84 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 73 85 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 74 1 A a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 74 2 straightforward straightforward JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 74 3 linear linear JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 74 4 algebra algebra NN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 5 computation computation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 6 shows show VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 74 7 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 8 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 74 9 10 10 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 74 10 different different JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 74 11 unit unit NN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 12 squares square NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 74 13 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 14 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 74 15 5-dimensional 5-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 74 16 lattice lattice NN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 17 project project NN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 18 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 19 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 74 20 10 10 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 74 21 possible possible JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 74 22 orientations orientation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 74 23 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 74 24 5 5 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 74 25 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 74 26 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 74 27 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 28 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 74 29 2 2 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 74 30 rhombs rhomb NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 74 31 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 32 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 74 33 Penrose Penrose NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 74 34 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 74 35 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 74 36 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 75 1 De De NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 75 2 Bruijn Bruijn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 75 3 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 75 4 construction construction NN work_ilaebg6jyzg6nkbnfyyb4aaspa 75 5 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 75 6 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 75 7 Penrose Penrose NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 75 8 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 75 9 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 75 10 intellectually intellectually RB work_ilaebg6jyzg6nkbnfyyb4aaspa 75 11 satisfying satisfying JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 75 12 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 76 1 Instead instead RB work_ilaebg6jyzg6nkbnfyyb4aaspa 76 2 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 3 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 76 4 arbitrary- arbitrary- XX work_ilaebg6jyzg6nkbnfyyb4aaspa 76 5 sounding sound VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 76 6 matching matching NN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 7 rules rule NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 76 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 76 9 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 76 10 add add VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 76 11 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 76 12 tile tile NN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 13 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 14 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 76 15 time time NN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 16 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 76 17 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 76 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 76 19 stepwise stepwise JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 76 20 generation generation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 21 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 22 tilings tiling NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 76 23 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 24 finite finite JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 76 25 portions portion NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 76 26 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 27 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 76 28 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 29 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 30 dissection dissection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 31 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 76 32 inflation inflation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 33 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 76 34 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 76 35 have have VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 76 36 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 76 37 single single JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 76 38 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 76 39 intelligible intelligible JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 76 40 definition definition NN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 41 tiling tile VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 76 42 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 76 43 entire entire JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 76 44 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 76 45 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 77 1 Furthermore furthermore RB work_ilaebg6jyzg6nkbnfyyb4aaspa 77 2 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 77 3 magical magical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 77 4 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 77 5 seeming seeming JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 77 6 recur- recur- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 77 7 rence rence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 8 properties property NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 77 9 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 77 11 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 12 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 77 13 anchored anchor VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 14 back back RB work_ilaebg6jyzg6nkbnfyyb4aaspa 77 15 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 16 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 77 17 well well RB work_ilaebg6jyzg6nkbnfyyb4aaspa 77 18 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 77 19 understood understand VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 20 behavior behavior NN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 21 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 22 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 77 23 fractional fractional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 77 24 part part NN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 25 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 26 consecutive consecutive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 77 27 integral integral JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 77 28 multiples multiple NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 77 29 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 30 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 77 31 irrational irrational JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 77 32 number number NN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 33 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 77 34 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 77 35 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 77 36 been be VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 37 studied study VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 38 since since IN work_ilaebg6jyzg6nkbnfyyb4aaspa 77 39 Kronecker Kronecker NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 77 40 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 78 1 As as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 2 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 3 additional additional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 4 bonus bonus NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 78 6 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 7 construction construction NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 8 also also RB work_ilaebg6jyzg6nkbnfyyb4aaspa 78 9 yields yield VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 10 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 11 new new JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 12 insight insight NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 13 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 14 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 15 psychological psychological JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 16 phenomenon phenomenon NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 17 noted note VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 18 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 19 Martin Martin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 78 20 Kemp Kemp NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 78 21 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 78 22 Kem Kem NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 78 23 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 78 24 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 25 describing describe VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 78 26 how how WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 78 27 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 28 rhombic rhombic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 29 Penrose Penrose NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 78 30 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 31 affects affect VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 32 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 33 eye eye NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 34 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 78 35 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 78 36 We -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 78 37 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 78 38 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 78 39 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 40 instance instance NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 41 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 78 42 play play VB work_ilaebg6jyzg6nkbnfyyb4aaspa 78 43 Necker Necker NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 78 44 cube cube NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 45 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 78 46 type type NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 47 games game NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 78 48 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 49 apparent apparent JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 50 octagons octagon NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 78 51 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 78 52 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 78 53 facet facet VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 54 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 55 surface surface NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 56 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 57 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 58 kind kind NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 59 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 60 cubist cubist JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 61 medley medley NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 62 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 63 receding recede VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 78 64 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 78 65 advancing advance VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 78 66 planes plane NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 78 67 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 78 68 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 78 69 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 70 surface surface NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 71 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 72 5-space 5-space CD work_ilaebg6jyzg6nkbnfyyb4aaspa 78 73 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 78 74 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 75 projects project VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 76 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 77 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 78 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 79 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 78 80 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 81 made make VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 82 up up RP work_ilaebg6jyzg6nkbnfyyb4aaspa 78 83 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 84 square square JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 85 facets facet NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 78 86 lined line VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 87 up up RP work_ilaebg6jyzg6nkbnfyyb4aaspa 78 88 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 78 89 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 78 90 coordinate coordinate JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 78 91 planes plane NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 78 92 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 79 1 Three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 79 2 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 79 3 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 79 4 these these DT work_ilaebg6jyzg6nkbnfyyb4aaspa 79 5 facets facet NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 79 6 determine determine VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 79 7 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 79 8 cube cube NN work_ilaebg6jyzg6nkbnfyyb4aaspa 79 9 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 79 10 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 79 11 projects project VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 79 12 correctly correctly RB work_ilaebg6jyzg6nkbnfyyb4aaspa 79 13 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 79 14 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 79 15 these these DT work_ilaebg6jyzg6nkbnfyyb4aaspa 79 16 cubes cube NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 79 17 live live VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 79 18 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 79 19 5 5 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 79 20 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 79 21 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 79 22 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 79 23 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 79 24 fit fit VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 79 25 together together RB work_ilaebg6jyzg6nkbnfyyb4aaspa 79 26 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 79 27 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 79 28 manner manner NN work_ilaebg6jyzg6nkbnfyyb4aaspa 79 29 inconceivable inconceivable JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 79 30 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 79 31 3-space 3-space CD work_ilaebg6jyzg6nkbnfyyb4aaspa 79 32 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 80 1 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 80 2 puts put VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 3 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 80 4 impact impact NN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 5 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 6 de de FW work_ilaebg6jyzg6nkbnfyyb4aaspa 80 7 Bruijn Bruijn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 80 8 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 9 discover- discover- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 10 ies ie NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 11 eloquently eloquently RB work_ilaebg6jyzg6nkbnfyyb4aaspa 80 12 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 80 13 inaccurately inaccurately RB work_ilaebg6jyzg6nkbnfyyb4aaspa 80 14 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 80 15 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 80 16 Once once RB work_ilaebg6jyzg6nkbnfyyb4aaspa 80 17 one one PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 80 18 accepts accept VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 19 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 80 20 counterintuitive counterintuitive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 21 notion notion NN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 22 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 23 quasicrystals quasicrystal NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 24 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 80 25 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 26 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 27 regular regular JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 28 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 80 29 periodic periodic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 30 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 80 31 cubic cubic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 32 lattices lattice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 33 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 34 higher high JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 80 35 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 80 36 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 37 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 38 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 80 39 all all PDT work_ilaebg6jyzg6nkbnfyyb4aaspa 80 40 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 80 41 other other JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 42 counter- counter- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 43 intuitive intuitive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 44 properties property NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 45 soon soon RB work_ilaebg6jyzg6nkbnfyyb4aaspa 80 46 become become VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 80 47 clear clear JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 48 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 49 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 80 50 wave wave NN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 51 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 52 lucid lucid JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 53 understanding understanding NN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 54 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 80 55 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 80 56 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 80 57 inaccuracy inaccuracy NN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 58 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 80 59 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 80 60 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 61 fundamental fundamental JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 62 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 80 63 stems stem VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 64 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 65 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 80 66 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 67 failure failure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 68 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 80 69 recognize recognize VB work_ilaebg6jyzg6nkbnfyyb4aaspa 80 70 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 71 these these DT work_ilaebg6jyzg6nkbnfyyb4aaspa 80 72 tilings tiling NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 73 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 80 74 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 75 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 76 sec- sec- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 77 tions tion NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 78 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 80 79 cubic cubic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 80 80 lattices lattice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 80 81 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 81 1 At at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 2 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 81 3 end end NN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 4 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 81 6 chapter chapter NN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 81 8 language language NN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 9 becomes become VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 81 10 even even RB work_ilaebg6jyzg6nkbnfyyb4aaspa 81 11 more more RBR work_ilaebg6jyzg6nkbnfyyb4aaspa 81 12 vivid vivid JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 81 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 81 14 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 81 15 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 81 16 thesis thesis NN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 17 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 81 18 still still RB work_ilaebg6jyzg6nkbnfyyb4aaspa 81 19 fundamentally fundamentally RB work_ilaebg6jyzg6nkbnfyyb4aaspa 81 20 wrong wrong JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 81 21 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 81 22 headed head VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 23 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 81 24 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 81 25 Quasicrystals quasicrystal NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 81 26 show show VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 81 27 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 81 28 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 29 objects object VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 81 30 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 81 31 systems system NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 81 32 described describe VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 33 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 34 pro- pro- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 35 jective jective NN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 36 geometry geometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 37 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 81 38 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 81 39 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 81 40 made make VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 41 Euclidean Euclidean NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 81 42 without without IN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 43 introducing introduce VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 81 44 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 81 45 most most RBS work_ilaebg6jyzg6nkbnfyyb4aaspa 81 46 mystical mystical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 81 47 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 81 48 anthropomor- anthropomor- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 49 phic phic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 81 50 properties property NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 81 51 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 52 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 81 53 system system NN work_ilaebg6jyzg6nkbnfyyb4aaspa 81 54 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 82 1 Making make VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 82 2 what what WP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 3 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 82 4 generated generate VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 5 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 82 6 accurately accurately RB work_ilaebg6jyzg6nkbnfyyb4aaspa 82 7 modeled model VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 8 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 9 projective projective JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 82 10 geometry geometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 11 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 12 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 82 13 traditional traditional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 82 14 Euclidean euclidean JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 82 15 static static JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 82 16 model model NN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 17 takes take VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 82 18 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 19 away away RB work_ilaebg6jyzg6nkbnfyyb4aaspa 82 20 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 21 science science NN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 22 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 82 23 moves move VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 82 24 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 25 towards towards IN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 26 fetishism fetishism NN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 27 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 82 28 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 82 29 There there EX work_ilaebg6jyzg6nkbnfyyb4aaspa 82 30 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 31 smaller small JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 82 32 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 82 33 scale scale NN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 34 problems problem NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 82 35 also also RB work_ilaebg6jyzg6nkbnfyyb4aaspa 82 36 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 82 37 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 38 Rob- Rob- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 39 bin bin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 40 ’s ’s NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 41 portrayal portrayal NN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 42 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 43 Penrose Penrose NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 44 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 82 45 tilings tiling NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 82 46 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 82 47 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 48 Bruijn Bruijn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 82 49 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 82 50 construction construction NN work_ilaebg6jyzg6nkbnfyyb4aaspa 82 51 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 83 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 83 2 main main JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 83 3 ideas idea NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 83 4 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 83 5 there there RB work_ilaebg6jyzg6nkbnfyyb4aaspa 83 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 83 7 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 83 8 correct correct JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 83 9 references reference NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 83 10 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 83 11 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 83 12 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 83 13 naïve naïve JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 83 14 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 83 15 attentive attentive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 83 16 reader reader NN work_ilaebg6jyzg6nkbnfyyb4aaspa 83 17 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 83 18 only only RB work_ilaebg6jyzg6nkbnfyyb4aaspa 83 19 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 83 20 bewildered bewilder VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 83 21 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 83 22 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 83 23 presentation presentation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 83 24 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 84 1 We -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 2 read read VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 84 3 things thing NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 84 4 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 5 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 6 obviously obviously RB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 7 just just RB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 8 plain plain RB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 9 wrong wrong JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 10 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 84 11 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 84 12 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 13 mechanics mechanic NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 84 14 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 15 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 16 loom loom NN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 17 enforce enforce NN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 18 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 19 periodic periodic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 20 repeat repeat NN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 21 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 84 22 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 84 23 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 84 24 things thing NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 84 25 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 26 turn turn VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 27 out out RP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 28 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 84 29 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 30 wrong wrong JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 31 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 84 32 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 84 33 Originally originally RB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 34 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 84 35 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 36 Amman Amman NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 37 bars bar NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 84 38 were be VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 84 39 equidistant equidistant JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 40 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 84 41 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 84 42 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 84 43 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 84 44 things thing NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 84 45 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 46 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 47 misleading mislead VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 84 48 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 84 49 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 84 50 It -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 51 was be VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 84 52 long long RB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 53 thought think VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 54 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 84 55 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 56 impossible impossible JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 57 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 84 58 have have VB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 59 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 60 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 61 made make VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 62 up up RP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 63 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 64 pentagons pentagon NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 84 65 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 84 66 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 84 67 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 84 68 unnecessar- unnecessar- VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 69 ily ily NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 70 obscure obscure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 84 71 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 84 72 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 84 73 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 74 dual dual JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 75 net net NN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 76 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 77 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 78 mathematical mathematical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 79 device device NN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 80 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 84 81 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 82 often often RB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 83 used use VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 84 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 84 85 analyze analyze VB work_ilaebg6jyzg6nkbnfyyb4aaspa 84 86 pattern”—no pattern”—no JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 87 further further JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 84 88 description description NN work_ilaebg6jyzg6nkbnfyyb4aaspa 84 89 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 84 90 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 85 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 85 2 figures figure NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 85 3 only only RB work_ilaebg6jyzg6nkbnfyyb4aaspa 85 4 add add VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 85 5 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 85 6 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 85 7 confusion confusion NN work_ilaebg6jyzg6nkbnfyyb4aaspa 85 8 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 86 1 Figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 86 2 6.7 6.7 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 86 3 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 86 4 mislabelled mislabelle VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 86 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 86 6 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 86 7 here here RB work_ilaebg6jyzg6nkbnfyyb4aaspa 86 8 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 86 9 Figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 86 10 6.8 6.8 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 86 11 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 86 12 Figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 86 13 3 3 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 86 14 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 87 1 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 87 2 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 87 3 Figure Figure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 87 4 6.8 6.8 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 87 5 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 88 1 April April NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 88 2 2007 2007 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 88 3 Notices Notices NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 88 4 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 88 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 88 6 AMS AMS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 88 7 507 507 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 88 8 Figure Figure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 88 9 4 4 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 88 10 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 89 1 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 89 2 Necker Necker NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 89 3 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 89 4 cube cube NN work_ilaebg6jyzg6nkbnfyyb4aaspa 89 5 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 89 6 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 89 7 eye eye NN work_ilaebg6jyzg6nkbnfyyb4aaspa 89 8 imposes impose VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 89 9 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 89 10 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 89 11 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 89 12 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 89 13 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 89 14 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 89 15 interpretations interpretation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 89 16 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 89 17 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 89 18 figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 89 19 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 89 20 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 89 21 cube cube NN work_ilaebg6jyzg6nkbnfyyb4aaspa 89 22 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 89 23 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 89 24 oscillates oscillate VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 89 25 between between IN work_ilaebg6jyzg6nkbnfyyb4aaspa 89 26 them -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 89 27 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 90 1 Figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 90 2 5 5 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 90 3 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 91 1 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 91 2 ’s ’s NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 91 3 Figure Figure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 91 4 41 41 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 91 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 91 6 perspective perspective NN work_ilaebg6jyzg6nkbnfyyb4aaspa 91 7 cavalière cavalière NN work_ilaebg6jyzg6nkbnfyyb4aaspa 91 8 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 91 9 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 91 10 16 16 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 91 11 fundamental fundamental JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 91 12 octahedra octahedron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 91 13 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 92 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 92 2 caption caption NN work_ilaebg6jyzg6nkbnfyyb4aaspa 92 3 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 92 4 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 92 5 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 92 6 de de FW work_ilaebg6jyzg6nkbnfyyb4aaspa 92 7 Bruijn Bruijn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 92 8 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 92 9 method method NN work_ilaebg6jyzg6nkbnfyyb4aaspa 92 10 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 92 11 applied apply VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 92 12 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 92 13 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 92 14 grid grid NN work_ilaebg6jyzg6nkbnfyyb4aaspa 92 15 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 92 16 hypercubes hypercube NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 92 17 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 92 18 produce produce VB work_ilaebg6jyzg6nkbnfyyb4aaspa 92 19 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 92 20 Penrose Penrose NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 92 21 tiling tiling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 92 22 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 93 1 Only only RB work_ilaebg6jyzg6nkbnfyyb4aaspa 93 2 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 93 3 hypercube hypercube NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 4 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 93 5 shown show VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 6 here here RB work_ilaebg6jyzg6nkbnfyyb4aaspa 93 7 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 93 8 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 93 9 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 93 10 does do VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 93 11 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 93 12 mention mention VB work_ilaebg6jyzg6nkbnfyyb4aaspa 93 13 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 93 14 slicing slice VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 93 15 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 16 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 93 17 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 93 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 93 19 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 93 20 projec- projec- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 93 21 tion tion NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 22 method method NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 23 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 93 24 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 93 25 represented represent VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 26 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 27 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 93 28 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 93 29 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 93 30 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 93 31 hypercube hypercube NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 32 floating float VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 93 33 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 34 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 93 35 upper upper JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 93 36 left left JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 93 37 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 93 38 hand hand NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 39 corner corner NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 40 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 93 41 along along IN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 42 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 43 vertical vertical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 93 44 lines line NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 93 45 attached attach VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 46 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 47 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 93 48 vertices vertex NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 93 49 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 50 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 93 51 Penrose Penrose NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 93 52 tiling tile VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 93 53 drawn draw VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 54 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 55 perspective perspective NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 56 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 57 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 93 58 cen- cen- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 59 ter ter NN work_ilaebg6jyzg6nkbnfyyb4aaspa 93 60 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 94 1 I -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 94 2 do do VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 94 3 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 94 4 believe believe VB work_ilaebg6jyzg6nkbnfyyb4aaspa 94 5 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 94 6 figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 7 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 94 8 meant mean VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 9 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 94 10 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 94 11 judged judge VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 12 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 13 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 94 14 work work NN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 15 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 16 art art NN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 17 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 94 18 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 94 19 I -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 94 20 know know VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 94 21 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 22 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 23 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 94 24 mathematical mathematical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 94 25 diagram diagram NN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 26 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 94 27 while while IN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 28 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 94 29 contains contain VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 94 30 some some DT work_ilaebg6jyzg6nkbnfyyb4aaspa 94 31 suggestive suggestive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 94 32 truth truth NN work_ilaebg6jyzg6nkbnfyyb4aaspa 94 33 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 94 34 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 94 35 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 94 36 too too RB work_ilaebg6jyzg6nkbnfyyb4aaspa 94 37 impressionistic impressionistic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 94 38 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 94 39 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 94 40 useful useful JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 94 41 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 95 1 Conclusion Conclusion NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 95 2 In in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 95 3 sum sum NN work_ilaebg6jyzg6nkbnfyyb4aaspa 95 4 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 95 5 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 95 6 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 95 7 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 95 8 attractive attractive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 95 9 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 95 10 very very RB work_ilaebg6jyzg6nkbnfyyb4aaspa 95 11 disappointing disappointing JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 95 12 book book NN work_ilaebg6jyzg6nkbnfyyb4aaspa 95 13 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 96 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 96 2 topic topic NN work_ilaebg6jyzg6nkbnfyyb4aaspa 96 3 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 96 4 great great JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 96 5 potential potential NN work_ilaebg6jyzg6nkbnfyyb4aaspa 96 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 96 7 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 96 8 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 96 9 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 96 10 earlier early JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 96 11 work work NN work_ilaebg6jyzg6nkbnfyyb4aaspa 96 12 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 96 13 Rob Rob NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 96 14 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 96 15 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 96 16 both both CC work_ilaebg6jyzg6nkbnfyyb4aaspa 96 17 entertaining entertaining JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 96 18 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 96 19 enlight- enlight- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 96 20 ening ene VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 96 21 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 96 22 promised promise VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 96 23 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 96 24 idiosyncratic idiosyncratic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 96 25 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 96 26 artist’s artist’s JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 96 27 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 96 28 eye eye NN work_ilaebg6jyzg6nkbnfyyb4aaspa 96 29 look look NN work_ilaebg6jyzg6nkbnfyyb4aaspa 96 30 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 96 31 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 96 32 perhaps perhaps RB work_ilaebg6jyzg6nkbnfyyb4aaspa 96 33 new new JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 96 34 insights insight NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 96 35 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 96 36 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 96 37 these these DT work_ilaebg6jyzg6nkbnfyyb4aaspa 96 38 fascinating fascinating JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 96 39 phe- phe- NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 96 40 nomena nomena NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 96 41 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 97 1 In in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 2 fact fact NN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 3 I -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 4 am be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 5 grateful grateful JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 97 6 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 7 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 8 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 9 introduc- introduc- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 10 ing ing NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 11 me -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 12 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 13 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 14 Bruijn Bruijn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 15 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 97 16 work work NN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 17 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 97 18 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 19 bringing bring VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 97 20 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 21 my -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 97 22 attention attention NN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 23 Esprit Esprit NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 24 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 25 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 97 26 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 97 27 charming charm VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 97 28 mathematical mathematical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 97 29 representative representative NN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 30 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 97 31 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 97 32 Belle Belle NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 33 Époque Époque NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 97 34 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 98 1 But but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 98 2 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 98 3 book book NN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 4 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 98 5 seriously seriously RB work_ilaebg6jyzg6nkbnfyyb4aaspa 98 6 marred mar VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 7 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 8 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 98 9 inadequacy inadequacy NN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 10 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 98 11 inaccura- inaccura- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 98 12 cy cy NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 98 13 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 14 its -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 98 15 mathematical mathematical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 98 16 component component NN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 17 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 98 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 98 19 author author NN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 20 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 98 21 been be VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 22 allowed allow VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 23 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 98 24 venture venture VB work_ilaebg6jyzg6nkbnfyyb4aaspa 98 25 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 98 26 alone alone RB work_ilaebg6jyzg6nkbnfyyb4aaspa 98 27 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 98 28 too too RB work_ilaebg6jyzg6nkbnfyyb4aaspa 98 29 far far RB work_ilaebg6jyzg6nkbnfyyb4aaspa 98 30 above above IN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 31 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 98 32 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 33 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 34 his -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 98 35 expertise expertise NN work_ilaebg6jyzg6nkbnfyyb4aaspa 98 36 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 99 1 In in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 99 2 his -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 99 3 acknowledgments acknowledgment NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 99 4 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 99 5 singles single VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 99 6 out out RP work_ilaebg6jyzg6nkbnfyyb4aaspa 99 7 several several JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 99 8 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 99 9 readers reader NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 99 10 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 99 11 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 99 12 manuscript manuscript NN work_ilaebg6jyzg6nkbnfyyb4aaspa 99 13 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 99 14 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 99 15 several several JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 99 16 Yale Yale NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 99 17 University University NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 99 18 Press Press NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 99 19 staffers staffer NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 99 20 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 100 1 He -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 100 2 alone alone RB work_ilaebg6jyzg6nkbnfyyb4aaspa 100 3 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 4 course course NN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 5 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 100 6 responsible responsible JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 100 7 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 8 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 100 9 text text NN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 10 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 100 11 illustrations illustration NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 100 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 100 13 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 100 14 I -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 100 15 am be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 100 16 sure sure JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 100 17 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 18 some some DT work_ilaebg6jyzg6nkbnfyyb4aaspa 100 19 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 20 those those DT work_ilaebg6jyzg6nkbnfyyb4aaspa 100 21 individuals individual NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 100 22 wish wish VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 100 23 now now RB work_ilaebg6jyzg6nkbnfyyb4aaspa 100 24 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 25 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 100 26 had have VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 100 27 done do VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 28 more more JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 100 29 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 100 30 give give VB work_ilaebg6jyzg6nkbnfyyb4aaspa 100 31 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 100 32 beautiful beautiful JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 100 33 idea idea NN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 34 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 100 35 more more RBR work_ilaebg6jyzg6nkbnfyyb4aaspa 100 36 accurate accurate JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 100 37 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 100 38 intelligible intelligible JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 100 39 realization realization NN work_ilaebg6jyzg6nkbnfyyb4aaspa 100 40 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 101 1 Appendix Appendix NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 101 2 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 101 3 Section section NN work_ilaebg6jyzg6nkbnfyyb4aaspa 101 4 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 101 5 Projection Projection NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 101 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 101 7 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 101 8 Per- Per- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 101 9 spective spective JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 101 10 Cavalière Cavalière NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 101 11 Section Section NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 101 12 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 101 13 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 101 14 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 101 15 mathematically mathematically RB work_ilaebg6jyzg6nkbnfyyb4aaspa 101 16 du- du- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 101 17 al al NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 101 18 operations operation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 101 19 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 102 1 Any any DT work_ilaebg6jyzg6nkbnfyyb4aaspa 102 2 finite finite JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 102 3 n n JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 102 4 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 102 5 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 102 6 object object NN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 7 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 102 8 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 102 9 completely completely RB work_ilaebg6jyzg6nkbnfyyb4aaspa 102 10 reconstructed reconstruct VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 11 either either CC work_ilaebg6jyzg6nkbnfyyb4aaspa 102 12 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 13 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 102 14 1-dimensional 1-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 102 15 set set NN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 16 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 17 parallel parallel NN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 18 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 102 19 n n IN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 20 − − NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 102 21 1)-dimensional 1)-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 102 22 slices slice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 102 23 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 102 24 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 25 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 102 26 1-dimensional 1-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 102 27 set set NN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 28 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 29 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 102 30 n n NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 102 31 − − NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 102 32 1)- 1)- CD work_ilaebg6jyzg6nkbnfyyb4aaspa 102 33 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 102 34 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 102 35 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 102 36 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 37 stacking stack VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 102 38 in in RP work_ilaebg6jyzg6nkbnfyyb4aaspa 102 39 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 102 40 case case NN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 41 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 102 42 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 43 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 102 44 tomographic tomographic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 102 45 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 102 46 style style NN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 47 calculation calculation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 48 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 49 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 102 50 oth- oth- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 102 51 er er UH work_ilaebg6jyzg6nkbnfyyb4aaspa 102 52 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 103 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 103 2 total total JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 103 3 information information NN work_ilaebg6jyzg6nkbnfyyb4aaspa 103 4 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 103 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 103 6 same same JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 103 7 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 103 8 although although IN work_ilaebg6jyzg6nkbnfyyb4aaspa 103 9 packaged package VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 103 10 quite quite RB work_ilaebg6jyzg6nkbnfyyb4aaspa 103 11 differently differently RB work_ilaebg6jyzg6nkbnfyyb4aaspa 103 12 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 104 1 When when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 104 2 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 104 3 comes come VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 104 4 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 5 geo- geo- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 104 6 metric metric JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 104 7 objects object NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 104 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 104 9 like like IN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 10 regular regular JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 104 11 polyhedra polyhedron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 104 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 104 13 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 104 14 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 104 15 innate innate VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 104 16 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 104 17 trained train VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 18 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 104 19 ability ability NN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 20 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 21 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 104 22 human human JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 104 23 eye eye NN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 24 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 104 25 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 104 26 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 104 27 re- re- RB work_ilaebg6jyzg6nkbnfyyb4aaspa 104 28 solve solve VB work_ilaebg6jyzg6nkbnfyyb4aaspa 104 29 perspective perspective NN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 30 problems problem NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 104 31 almost almost RB work_ilaebg6jyzg6nkbnfyyb4aaspa 104 32 automatically automatically RB work_ilaebg6jyzg6nkbnfyyb4aaspa 104 33 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 104 34 means mean VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 104 35 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 36 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 104 37 2-dimensional 2-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 104 38 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 39 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 104 40 often often RB work_ilaebg6jyzg6nkbnfyyb4aaspa 104 41 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 104 42 counted count VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 43 on on RP work_ilaebg6jyzg6nkbnfyyb4aaspa 104 44 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 104 45 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 104 46 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 104 47 read read VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 48 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 104 49 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 104 50 give give VB work_ilaebg6jyzg6nkbnfyyb4aaspa 104 51 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 104 52 mental mental JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 104 53 image image NN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 54 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 55 its -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 104 56 3-dimensional 3-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 104 57 antecedent antecedent NN work_ilaebg6jyzg6nkbnfyyb4aaspa 104 58 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 105 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 105 2 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 105 3 Necker Necker NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 105 4 cube cube NN work_ilaebg6jyzg6nkbnfyyb4aaspa 105 5 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 105 6 phenomenon phenomenon NN work_ilaebg6jyzg6nkbnfyyb4aaspa 105 7 referred refer VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 105 8 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 105 9 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 105 10 Kemp Kemp NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 105 11 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 105 12 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 105 13 familiar familiar JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 105 14 example example NN work_ilaebg6jyzg6nkbnfyyb4aaspa 105 15 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 105 16 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 105 17 human human JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 105 18 propensity propensity NN work_ilaebg6jyzg6nkbnfyyb4aaspa 105 19 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 106 1 But but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 106 2 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 106 3 fact fact NN work_ilaebg6jyzg6nkbnfyyb4aaspa 106 4 neither neither DT work_ilaebg6jyzg6nkbnfyyb4aaspa 106 5 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 106 6 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 106 7 natural natural JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 106 8 interpretations interpretation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 106 9 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 106 10 even even RB work_ilaebg6jyzg6nkbnfyyb4aaspa 106 11 plausible plausible JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 106 12 unless unless IN work_ilaebg6jyzg6nkbnfyyb4aaspa 106 13 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 106 14 assume assume VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 106 15 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 106 16 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 106 17 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 106 18 look- look- VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 106 19 ing e VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 106 20 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 106 21 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 106 22 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 106 23 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 106 24 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 106 25 connected connected JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 106 26 polyhedron polyhedron NN work_ilaebg6jyzg6nkbnfyyb4aaspa 106 27 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 107 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 107 2 configuration configuration NN work_ilaebg6jyzg6nkbnfyyb4aaspa 107 3 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 107 4 see see VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 107 5 might may MD work_ilaebg6jyzg6nkbnfyyb4aaspa 107 6 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 107 7 like like IN work_ilaebg6jyzg6nkbnfyyb4aaspa 107 8 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 107 9 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 107 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 107 11 con- con- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 107 12 stellations stellation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 107 13 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 107 14 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 107 15 night night NN work_ilaebg6jyzg6nkbnfyyb4aaspa 107 16 sky sky NN work_ilaebg6jyzg6nkbnfyyb4aaspa 107 17 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 107 18 our -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 107 19 mind mind NN work_ilaebg6jyzg6nkbnfyyb4aaspa 107 20 joining join VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 107 21 several several JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 107 22 completely completely RB work_ilaebg6jyzg6nkbnfyyb4aaspa 107 23 unrelated unrelated JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 107 24 objects object NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 107 25 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 108 1 Projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 108 2 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 108 3 more more JJR work_ilaebg6jyzg6nkbnfyyb4aaspa 108 4 general general JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 108 5 objects object NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 108 6 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 108 7 usually usually RB work_ilaebg6jyzg6nkbnfyyb4aaspa 108 8 less less RBR work_ilaebg6jyzg6nkbnfyyb4aaspa 108 9 informative informative JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 108 10 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 109 1 Knot Knot NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 109 2 theorists theorist NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 109 3 work work VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 109 4 comfort- comfort- NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 109 5 ably ably RB work_ilaebg6jyzg6nkbnfyyb4aaspa 109 6 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 7 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 109 8 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 109 9 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 109 10 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 109 11 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 109 12 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 109 13 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 14 three- three- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 109 15 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 109 16 knots knot NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 109 17 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 109 18 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 109 19 these these DT work_ilaebg6jyzg6nkbnfyyb4aaspa 109 20 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 109 21 have have VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 109 22 been be VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 23 enhanced enhance VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 24 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 25 clues clue NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 109 26 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 109 27 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 28 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 109 29 intersection intersection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 30 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 109 31 508 508 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 109 32 Notices notice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 109 33 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 34 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 109 35 AMS AMS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 109 36 Volume Volume NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 109 37 54 54 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 109 38 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 109 39 Number number NN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 40 4 4 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 109 41 graphical graphical JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 109 42 convention convention NN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 43 gives give VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 109 44 information information NN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 45 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 109 46 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 47 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 109 48 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 109 49 third third JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 109 50 dimension dimension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 51 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 109 52 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 109 53 telling telling NN work_ilaebg6jyzg6nkbnfyyb4aaspa 109 54 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 109 55 strand strand NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 109 56 goes go VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 109 57 over over RB work_ilaebg6jyzg6nkbnfyyb4aaspa 109 58 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 109 59 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 109 60 goes go VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 109 61 under under RB work_ilaebg6jyzg6nkbnfyyb4aaspa 109 62 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 110 1 To to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 110 2 explore explore VB work_ilaebg6jyzg6nkbnfyyb4aaspa 110 3 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 110 4 limitations limitation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 110 5 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 6 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 7 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 8 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 110 9 means means NN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 10 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 11 studying study VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 110 12 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 110 13 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 110 14 dimensional dimensional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 110 15 polyhedra polyhedron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 110 16 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 110 17 let let VB work_ilaebg6jyzg6nkbnfyyb4aaspa 110 18 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 110 19 look look VB work_ilaebg6jyzg6nkbnfyyb4aaspa 110 20 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 21 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 110 22 image image NN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 23 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 24 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 110 25 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 110 26 reproduced reproduce VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 110 27 both both CC work_ilaebg6jyzg6nkbnfyyb4aaspa 110 28 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 29 Henderson Henderson NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 110 30 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 110 31 book book NN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 32 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 110 33 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 110 34 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 110 35 ’s ’s , work_ilaebg6jyzg6nkbnfyyb4aaspa 110 36 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 110 37 Figure Figure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 110 38 5 5 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 110 39 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 110 40 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 111 1 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 111 2 ’s ’s NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 111 3 Figure Figure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 111 4 41 41 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 111 5 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 111 6 part part NN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 7 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 8 his -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 111 9 effort effort NN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 10 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 111 11 ex- ex- XX work_ilaebg6jyzg6nkbnfyyb4aaspa 111 12 plain plain VB work_ilaebg6jyzg6nkbnfyyb4aaspa 111 13 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 111 14 structure structure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 15 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 16 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 111 17 polytope polytope NN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 18 C24 C24 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 111 19 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 111 20 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 111 21 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 111 22 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 111 23 3-dimensional 3-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 111 24 object object NN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 25 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 111 26 without without IN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 27 boundary boundary NN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 28 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 111 29 as as RB work_ilaebg6jyzg6nkbnfyyb4aaspa 111 30 such such JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 111 31 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 111 32 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 111 33 only only RB work_ilaebg6jyzg6nkbnfyyb4aaspa 111 34 exist exist VB work_ilaebg6jyzg6nkbnfyyb4aaspa 111 35 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 36 4-dimensional 4-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 111 37 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 38 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 111 39 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 111 40 made make VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 41 up up IN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 42 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 111 43 24 24 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 111 44 octahedra octahedron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 111 45 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 112 1 This this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 112 2 polytope polytope NN work_ilaebg6jyzg6nkbnfyyb4aaspa 112 3 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 112 4 24 24 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 112 5 vertices vertex NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 112 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 112 7 96 96 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 112 8 edges edge NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 112 9 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 112 10 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 112 11 96 96 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 112 12 triangular triangular NN work_ilaebg6jyzg6nkbnfyyb4aaspa 112 13 faces face NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 112 14 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 113 1 It -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 113 2 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 3 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 113 4 most most RBS work_ilaebg6jyzg6nkbnfyyb4aaspa 113 5 interesting interesting JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 6 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 113 8 3-dimensional 3-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 113 9 regular regular JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 10 polytopes polytope NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 113 11 because because IN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 12 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 113 13 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 14 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 113 15 only only JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 16 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 113 17 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 113 19 6 6 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 113 20 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 113 21 has have VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 22 no no DT work_ilaebg6jyzg6nkbnfyyb4aaspa 113 23 analogue analogue NN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 24 among among IN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 25 our -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 26 familiar familiar JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 27 2-dimensional 2-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 113 28 poly- poly- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 113 29 hedra hedra NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 113 30 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 113 31 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 32 fact fact NN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 33 its -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 34 group group NN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 35 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 36 symmetries symmetry NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 113 37 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 38 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 113 39 Weyl Weyl NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 113 40 group group NN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 41 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 42 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 113 43 exceptional exceptional JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 113 44 Lie Lie NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 113 45 group group NN work_ilaebg6jyzg6nkbnfyyb4aaspa 113 46 F4 F4 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 113 47 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 113 48 Cox Cox NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 113 49 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 113 50 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 113 51 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 114 1 Jouffret jouffret NN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 2 works work NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 114 3 rigorously rigorously RB work_ilaebg6jyzg6nkbnfyyb4aaspa 114 4 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 5 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 6 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 7 style style NN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 8 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 9 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 10 descriptive descriptive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 114 11 geometry geometry NN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 12 épures épure NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 114 13 required require VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 14 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 15 every every DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 16 French french JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 114 17 candidate candidate NN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 18 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 19 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 20 École École NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 21 Polytechnique Polytechnique NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 22 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 114 23 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 24 École École NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 25 Normale Normale NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 26 Supérieure Supérieure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 27 between between IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 28 1858 1858 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 29 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 114 30 1960 1960 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 31 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 32 Asa Asa NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 33 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 34 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 114 35 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 36 constructs construct VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 114 37 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 38 C24 C24 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 39 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 40 edge edge NN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 41 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 114 42 length length NN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 43 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 44 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 45 4-dimensional 4-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 46 space space NN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 47 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 48 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 49 polytope polytope NN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 50 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 51 ver- ver- XX work_ilaebg6jyzg6nkbnfyyb4aaspa 114 52 tices tice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 114 53 at at IN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 54 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 55 24 24 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 56 points point NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 114 57 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 58 ±α,±α ±α,±α NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 59 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 60 0 0 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 61 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 62 0 0 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 63 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 64 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 65 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 66 ±α ±α NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 67 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 68 0,±α 0,±α NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 69 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 70 0 0 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 71 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 72 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 73 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 74 ±α ±α NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 75 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 76 0 0 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 77 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 78 0,±α 0,±α NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 79 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 80 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 81 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 82 0,±α,±α 0,±α,±α UH work_ilaebg6jyzg6nkbnfyyb4aaspa 114 83 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 84 0 0 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 85 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 86 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 87 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 88 0,±α 0,±α NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 89 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 90 0,±α 0,±α NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 91 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 92 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 93 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 94 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 95 0 0 NFP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 96 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 97 0,±α,±α 0,±α,±α UH work_ilaebg6jyzg6nkbnfyyb4aaspa 114 98 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 114 99 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 114 100 where where WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 114 101 α α PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 114 102 = = SYM work_ilaebg6jyzg6nkbnfyyb4aaspa 114 103 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 114 104 √ √ NN work_ilaebg6jyzg6nkbnfyyb4aaspa 114 105 3 3 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 106 2 2 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 114 107 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 115 1 Since since IN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 2 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 115 3 ver- ver- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 115 4 tex tex NN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 5 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 115 6 connected connect VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 7 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 8 eight eight CD work_ilaebg6jyzg6nkbnfyyb4aaspa 115 9 others other NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 115 10 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 115 11 when when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 115 12 you -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 115 13 put put VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 115 14 in in RP work_ilaebg6jyzg6nkbnfyyb4aaspa 115 15 all all PDT work_ilaebg6jyzg6nkbnfyyb4aaspa 115 16 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 115 17 edges edge NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 115 18 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 115 19 project project VB work_ilaebg6jyzg6nkbnfyyb4aaspa 115 20 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 115 21 polytope polytope NN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 22 onto onto IN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 23 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 115 24 page page NN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 25 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 26 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 115 27 book book NN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 28 you -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 115 29 get get VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 115 30 something something NN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 31 like like IN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 32 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 115 33 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 34 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 115 35 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 115 36 pictures picture NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 115 37 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 115 38 Figure Figure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 115 39 6 6 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 115 40 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 116 1 Which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 116 2 one one NN work_ilaebg6jyzg6nkbnfyyb4aaspa 116 3 you -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 116 4 get get VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 116 5 depends depend VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 116 6 on on IN work_ilaebg6jyzg6nkbnfyyb4aaspa 116 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 116 8 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 116 9 you -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 116 10 choose choose VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 116 11 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 116 12 4-space 4-space CD work_ilaebg6jyzg6nkbnfyyb4aaspa 116 13 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 116 14 2-space 2-space CD work_ilaebg6jyzg6nkbnfyyb4aaspa 116 15 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 117 1 These these DT work_ilaebg6jyzg6nkbnfyyb4aaspa 117 2 pictures picture NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 117 3 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 117 4 attractive attractive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 117 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 117 6 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 117 7 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 117 8 do do VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 117 9 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 117 10 convey convey VB work_ilaebg6jyzg6nkbnfyyb4aaspa 117 11 much much JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 117 12 informa- informa- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 117 13 tion tion NN work_ilaebg6jyzg6nkbnfyyb4aaspa 117 14 about about IN work_ilaebg6jyzg6nkbnfyyb4aaspa 117 15 how how WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 117 16 24 24 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 117 17 octahedra octahedron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 117 18 fit fit VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 117 19 together together RB work_ilaebg6jyzg6nkbnfyyb4aaspa 117 20 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 117 21 form form VB work_ilaebg6jyzg6nkbnfyyb4aaspa 117 22 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 117 23 object object NN work_ilaebg6jyzg6nkbnfyyb4aaspa 117 24 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 117 25 no no DT work_ilaebg6jyzg6nkbnfyyb4aaspa 117 26 boundary boundary NN work_ilaebg6jyzg6nkbnfyyb4aaspa 117 27 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 118 1 Putting put VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 118 2 in in RP work_ilaebg6jyzg6nkbnfyyb4aaspa 118 3 any any DT work_ilaebg6jyzg6nkbnfyyb4aaspa 118 4 indication indication NN work_ilaebg6jyzg6nkbnfyyb4aaspa 118 5 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 118 6 where where WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 118 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 118 8 96 96 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 118 9 2-dimensional 2-dimensional CD work_ilaebg6jyzg6nkbnfyyb4aaspa 118 10 faces face NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 118 11 fit fit VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 118 12 in in RP work_ilaebg6jyzg6nkbnfyyb4aaspa 118 13 would would MD work_ilaebg6jyzg6nkbnfyyb4aaspa 118 14 certainly certainly RB work_ilaebg6jyzg6nkbnfyyb4aaspa 118 15 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 118 16 improve improve VB work_ilaebg6jyzg6nkbnfyyb4aaspa 118 17 legibility legibility NN work_ilaebg6jyzg6nkbnfyyb4aaspa 118 18 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 119 1 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 119 2 credits credit NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 119 3 Schoute Schoute NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 119 4 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 119 6 idea idea NN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 7 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 8 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 119 9 perspective perspective JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 119 10 cavalière cavalière NN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 11 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 119 12 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 119 13 cavalier cavalier NN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 14 bending bending NN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 15 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 16 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 119 17 rules rule NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 119 18 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 19 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 119 20 interest interest NN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 21 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 22 intel- intel- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 119 23 ligibility ligibility NN work_ilaebg6jyzg6nkbnfyyb4aaspa 119 24 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 120 1 In in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 120 2 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 120 3 case case NN work_ilaebg6jyzg6nkbnfyyb4aaspa 120 4 there there EX work_ilaebg6jyzg6nkbnfyyb4aaspa 120 5 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 120 6 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 120 7 violations violation NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 120 8 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 121 1 First first RB work_ilaebg6jyzg6nkbnfyyb4aaspa 121 2 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 121 3 sixteen sixteen CD work_ilaebg6jyzg6nkbnfyyb4aaspa 121 4 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 121 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 121 6 octahedra octahedron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 121 7 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 121 8 selected select VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 121 9 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 121 10 represent represent VB work_ilaebg6jyzg6nkbnfyyb4aaspa 121 11 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 121 12 surface surface NN work_ilaebg6jyzg6nkbnfyyb4aaspa 121 13 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 122 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 122 2 sixteen sixteen CD work_ilaebg6jyzg6nkbnfyyb4aaspa 122 3 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 122 4 geometrically geometrically RB work_ilaebg6jyzg6nkbnfyyb4aaspa 122 5 projected project VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 122 6 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 122 7 before before RB work_ilaebg6jyzg6nkbnfyyb4aaspa 122 8 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 123 1 That that DT work_ilaebg6jyzg6nkbnfyyb4aaspa 123 2 projected project VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 123 3 image image NN work_ilaebg6jyzg6nkbnfyyb4aaspa 123 4 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 123 5 dissected dissect VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 123 6 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 123 7 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 123 8 pieces piece NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 123 9 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 123 10 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 123 11 common common JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 123 12 edges edge NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 123 13 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 123 14 faces face NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 123 15 drawn draw VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 123 16 twice twice RB work_ilaebg6jyzg6nkbnfyyb4aaspa 123 17 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 123 18 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 123 19 common common JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 123 20 vertices vertex NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 123 21 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 123 22 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 123 23 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 123 24 times time NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 123 25 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 124 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 124 2 shading shading NN work_ilaebg6jyzg6nkbnfyyb4aaspa 124 3 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 124 4 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 124 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 124 6 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 124 7 Henderson Henderson NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 124 8 notes note VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 124 9 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 124 10 gives give VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 124 11 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 124 12 im- im- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 124 13 age age NN work_ilaebg6jyzg6nkbnfyyb4aaspa 124 14 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 124 15 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 124 16 shimmering shimmering JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 124 17 quality quality NN work_ilaebg6jyzg6nkbnfyyb4aaspa 124 18 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 124 19 iridescence iridescence NN work_ilaebg6jyzg6nkbnfyyb4aaspa 124 20 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 124 21 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 124 22 marks mark VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 124 23 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 124 24 faces face NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 124 25 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 124 26 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 124 27 duplicated duplicate VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 124 28 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 125 1 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 125 2 Note note VB work_ilaebg6jyzg6nkbnfyyb4aaspa 125 3 here here RB work_ilaebg6jyzg6nkbnfyyb4aaspa 125 4 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 5 small small JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 125 6 errors error NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 125 7 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 125 8 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 125 9 face face NN work_ilaebg6jyzg6nkbnfyyb4aaspa 125 10 < < XX work_ilaebg6jyzg6nkbnfyyb4aaspa 125 11 9 9 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 125 13 18 18 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 14 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 125 15 21 21 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 16 > > NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 125 17 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 125 18 quadrant quadrant JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 125 19 h8 h8 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 125 20 should should MD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 21 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 125 22 shifted shift VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 125 23 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 125 24 become become VB work_ilaebg6jyzg6nkbnfyyb4aaspa 125 25 < < XX work_ilaebg6jyzg6nkbnfyyb4aaspa 125 26 10 10 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 27 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 125 28 18 18 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 29 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 125 30 21 21 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 31 > > XX work_ilaebg6jyzg6nkbnfyyb4aaspa 125 32 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 125 33 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 125 34 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 125 35 face face NN work_ilaebg6jyzg6nkbnfyyb4aaspa 125 36 < < XX work_ilaebg6jyzg6nkbnfyyb4aaspa 125 37 17 17 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 38 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 125 39 13 13 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 40 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 125 41 14 14 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 42 > > NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 125 43 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 125 44 quadrant quadrant JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 125 45 h6 h6 NN work_ilaebg6jyzg6nkbnfyyb4aaspa 125 46 should should MD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 47 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 125 48 moved move VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 125 49 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 125 50 < < XX work_ilaebg6jyzg6nkbnfyyb4aaspa 125 51 17 17 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 52 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 125 53 22 22 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 54 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 125 55 14 14 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 125 56 > > XX work_ilaebg6jyzg6nkbnfyyb4aaspa 125 57 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 125 58 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 126 1 Before before IN work_ilaebg6jyzg6nkbnfyyb4aaspa 126 2 trying try VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 126 3 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 126 4 understand understand VB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 5 how how WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 6 these these DT work_ilaebg6jyzg6nkbnfyyb4aaspa 126 7 pieces piece NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 126 8 all all DT work_ilaebg6jyzg6nkbnfyyb4aaspa 126 9 fit fit VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 126 10 together together RB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 11 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 126 12 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 126 13 then then RB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 14 where where WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 15 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 126 16 missing missing JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 126 17 eight eight CD work_ilaebg6jyzg6nkbnfyyb4aaspa 126 18 octahedra octahedra NN work_ilaebg6jyzg6nkbnfyyb4aaspa 126 19 should should MD work_ilaebg6jyzg6nkbnfyyb4aaspa 126 20 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 21 inserted insert VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 126 22 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 126 23 we -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 126 24 should should MD work_ilaebg6jyzg6nkbnfyyb4aaspa 126 25 note note VB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 26 how how WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 27 far far RB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 28 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 126 29 picture picture NN work_ilaebg6jyzg6nkbnfyyb4aaspa 126 30 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 126 31 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 126 32 even even RB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 33 when when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 126 34 restricted restrict VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 126 35 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 126 36 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 126 37 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 126 38 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 126 39 quadrants quadrant NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 126 40 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 126 41 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 126 42 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 126 43 straightforward straightforward JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 126 44 projection projection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 126 45 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 127 1 When when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 127 2 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 127 3 lines line NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 127 4 meet meet VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 127 5 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 127 6 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 127 7 figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 127 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 127 9 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 127 10 heavy heavy JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 127 11 dot dot NN work_ilaebg6jyzg6nkbnfyyb4aaspa 127 12 tells tell VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 127 13 us -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 127 14 whether whether IN work_ilaebg6jyzg6nkbnfyyb4aaspa 127 15 their -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 127 16 intersection intersection NN work_ilaebg6jyzg6nkbnfyyb4aaspa 127 17 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 127 18 essential essential JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 127 19 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 127 20 they -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 127 21 actually actually RB work_ilaebg6jyzg6nkbnfyyb4aaspa 127 22 meet meet VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 127 23 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 127 24 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 127 25 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 127 26 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 127 27 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 127 28 contingent contingent JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 127 29 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 127 30 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 127 31 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 127 32 their -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 127 33 points point NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 127 34 happen happen VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 127 35 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 127 36 project project VB work_ilaebg6jyzg6nkbnfyyb4aaspa 127 37 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 127 38 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 127 39 same same JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 127 40 place place NN work_ilaebg6jyzg6nkbnfyyb4aaspa 127 41 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 127 42 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 128 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 128 2 lines line NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 128 3 themselves -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 128 4 come come VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 128 5 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 128 6 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 128 7 differ- differ- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 128 8 ent ent NN work_ilaebg6jyzg6nkbnfyyb4aaspa 128 9 values value NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 128 10 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 128 11 full full JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 128 12 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 128 13 dotted dotted JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 128 14 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 128 15 according accord VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 128 16 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 128 17 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 128 18 somewhat somewhat RB work_ilaebg6jyzg6nkbnfyyb4aaspa 128 19 arbitrary arbitrary JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 128 20 convention convention NN work_ilaebg6jyzg6nkbnfyyb4aaspa 128 21 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 128 22 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 128 23 ’s ’s NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 128 24 regarding regard VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 128 25 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 128 26 lines line NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 128 27 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 128 28 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 128 29 seen see VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 128 30 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 128 31 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 128 32 which which WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 128 33 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 128 34 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 128 35 hidden hide VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 128 36 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 128 37 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 129 1 Finally finally RB work_ilaebg6jyzg6nkbnfyyb4aaspa 129 2 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 129 3 even even RB work_ilaebg6jyzg6nkbnfyyb4aaspa 129 4 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 129 5 all all PDT work_ilaebg6jyzg6nkbnfyyb4aaspa 129 6 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 129 7 extra extra JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 129 8 information information NN work_ilaebg6jyzg6nkbnfyyb4aaspa 129 9 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 129 10 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 129 11 despite despite IN work_ilaebg6jyzg6nkbnfyyb4aaspa 129 12 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 129 13 accuracy accuracy NN work_ilaebg6jyzg6nkbnfyyb4aaspa 129 14 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 129 15 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 129 16 épure épure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 129 17 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 129 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 129 19 picture picture NN work_ilaebg6jyzg6nkbnfyyb4aaspa 129 20 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 129 21 hard hard JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 129 22 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 129 23 read read VB work_ilaebg6jyzg6nkbnfyyb4aaspa 129 24 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 130 1 There there EX work_ilaebg6jyzg6nkbnfyyb4aaspa 130 2 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 130 3 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 130 4 clue clue NN work_ilaebg6jyzg6nkbnfyyb4aaspa 130 5 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 130 6 modern modern JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 130 7 readers reader NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 130 8 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 130 9 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 130 10 rectangular rectangular JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 130 11 parallelipipeds parallelipiped NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 130 12 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 130 13 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 130 14 quadrant quadrant NN work_ilaebg6jyzg6nkbnfyyb4aaspa 130 15 become become VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 130 16 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 130 17 torus torus NN work_ilaebg6jyzg6nkbnfyyb4aaspa 130 18 when when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 130 19 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 130 20 quadrants quadrant NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 130 21 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 130 22 slid slide VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 130 23 back back RB work_ilaebg6jyzg6nkbnfyyb4aaspa 130 24 together together RB work_ilaebg6jyzg6nkbnfyyb4aaspa 130 25 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 131 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 131 2 inside inside NN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 3 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 131 4 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 131 5 outside outside NN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 6 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 7 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 131 8 torus torus NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 131 9 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 131 10 partitioned partition VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 11 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 12 24 24 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 13 half half JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 131 14 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 131 15 octahedra octahedron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 131 16 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 131 17 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 18 coning cone VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 131 19 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 131 20 boundary boundary NN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 21 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 22 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 131 23 inside inside NN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 24 parallelipiped parallelipipe VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 25 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 26 an an DT work_ilaebg6jyzg6nkbnfyyb4aaspa 131 27 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 131 28 interior interior JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 131 29 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 131 30 vertex vertex NN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 31 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 131 32 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 33 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 34 2 2 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 35 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 131 36 4 4 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 37 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 131 38 6 6 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 39 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 131 40 or or CC work_ilaebg6jyzg6nkbnfyyb4aaspa 131 41 8) 8) CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 42 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 131 43 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 44 coning cone VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 131 45 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 131 46 boundary boundary NN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 47 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 48 each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 131 49 outside outside JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 131 50 block block NN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 51 from from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 52 its -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 131 53 appropriate appropriate JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 131 54 middle middle NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 131 55 vertex vertex NN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 56 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 131 57 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 58 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 131 59 17 17 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 60 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 131 61 19 19 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 62 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 131 63 21 21 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 64 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 131 65 23 23 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 131 66 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 131 67 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 132 1 Each each DT work_ilaebg6jyzg6nkbnfyyb4aaspa 132 2 solid solid JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 132 3 torus torus NN work_ilaebg6jyzg6nkbnfyyb4aaspa 132 4 contains contain VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 132 5 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 132 6 necklace necklace NN work_ilaebg6jyzg6nkbnfyyb4aaspa 132 7 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 132 8 4 4 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 132 9 complete complete JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 132 10 octahedra octahedron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 132 11 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 133 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 133 2 remaining remain VBG work_ilaebg6jyzg6nkbnfyyb4aaspa 133 3 seize seize NN work_ilaebg6jyzg6nkbnfyyb4aaspa 133 4 octaèdres octaèdre NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 133 5 fonda- fonda- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 133 6 mentaux mentaux NN work_ilaebg6jyzg6nkbnfyyb4aaspa 133 7 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 133 8 formed form VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 133 9 when when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 133 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 133 11 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 133 12 solid solid JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 133 13 tori tori NN work_ilaebg6jyzg6nkbnfyyb4aaspa 133 14 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 133 15 glued glue VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 133 16 along along IN work_ilaebg6jyzg6nkbnfyyb4aaspa 133 17 their -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 133 18 boundaries boundary NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 133 19 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 133 20 give give VB work_ilaebg6jyzg6nkbnfyyb4aaspa 133 21 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 133 22 topological topological JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 133 23 3-sphere 3-sphere CD work_ilaebg6jyzg6nkbnfyyb4aaspa 133 24 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 134 1 I -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 134 2 write write VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 134 3 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 134 4 modern modern JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 134 5 readers reader NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 134 6 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 134 7 because because IN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 8 I -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 134 9 do do VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 134 10 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 134 11 believe believe VB work_ilaebg6jyzg6nkbnfyyb4aaspa 134 12 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 13 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 14 1903 1903 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 134 15 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 134 16 decomposition decomposition NN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 17 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 18 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 134 19 3-sphere 3-sphere CD work_ilaebg6jyzg6nkbnfyyb4aaspa 134 20 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 134 21 even even RB work_ilaebg6jyzg6nkbnfyyb4aaspa 134 22 though though IN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 23 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 134 24 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 134 25 almost almost RB work_ilaebg6jyzg6nkbnfyyb4aaspa 134 26 unavoidable unavoidable JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 134 27 when when WRB work_ilaebg6jyzg6nkbnfyyb4aaspa 134 28 S3 S3 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 134 29 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 134 30 written write VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 31 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 32 { { -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 134 33 |z1|2 |z1|2 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 134 34 + + NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 134 35 |z2|2 |z2|2 NN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 36 = = SYM work_ilaebg6jyzg6nkbnfyyb4aaspa 134 37 1 1 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 134 38 } } -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 134 39 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 40 complex complex JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 134 41 coordinates coordinate NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 134 42 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 134 43 was be VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 134 44 anywhere anywhere RB work_ilaebg6jyzg6nkbnfyyb4aaspa 134 45 nearly nearly RB work_ilaebg6jyzg6nkbnfyyb4aaspa 134 46 as as RB work_ilaebg6jyzg6nkbnfyyb4aaspa 134 47 well well RB work_ilaebg6jyzg6nkbnfyyb4aaspa 134 48 known know VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 49 as as IN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 50 it -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 134 51 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 134 52 today today NN work_ilaebg6jyzg6nkbnfyyb4aaspa 134 53 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 135 1 Jouffret jouffret NN work_ilaebg6jyzg6nkbnfyyb4aaspa 135 2 remarks remark VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 135 3 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 135 4 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 135 5 16 16 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 135 6 vertices vertex NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 135 7 that that WDT work_ilaebg6jyzg6nkbnfyyb4aaspa 135 8 span span VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 135 9 our -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 135 10 torus torus NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 135 11 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 135 12 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 135 13 vertices vertex NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 135 14 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 135 15 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 135 16 hypercube hypercube NN work_ilaebg6jyzg6nkbnfyyb4aaspa 135 17 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 135 18 octaé- octaé- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 135 19 droïde droïde NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 135 20 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 135 21 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 135 22 but but CC work_ilaebg6jyzg6nkbnfyyb4aaspa 135 23 he -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 135 24 does do VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 135 25 not not RB work_ilaebg6jyzg6nkbnfyyb4aaspa 135 26 use use VB work_ilaebg6jyzg6nkbnfyyb4aaspa 135 27 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 135 28 information information NN work_ilaebg6jyzg6nkbnfyyb4aaspa 135 29 to to TO work_ilaebg6jyzg6nkbnfyyb4aaspa 135 30 clarify clarify VB work_ilaebg6jyzg6nkbnfyyb4aaspa 135 31 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 135 32 combinatorial combinatorial JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 135 33 structure structure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 135 34 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 135 35 C24 C24 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 135 36 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 136 1 He -PRON- PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 136 2 also also RB work_ilaebg6jyzg6nkbnfyyb4aaspa 136 3 remarks remark VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 136 4 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 136 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 136 6 other other JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 136 7 8 8 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 136 8 vertices vertex NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 136 9 define define VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 136 10 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 136 11 16-cell 16-cell CD work_ilaebg6jyzg6nkbnfyyb4aaspa 136 12 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 136 13 hexadécadroïde hexadécadroïde NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 136 14 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 136 15 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 136 16 side side NN work_ilaebg6jyzg6nkbnfyyb4aaspa 136 17 a a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 136 18 √ √ NN work_ilaebg6jyzg6nkbnfyyb4aaspa 136 19 2 2 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 136 20 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 136 21 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 136 22 that that IN work_ilaebg6jyzg6nkbnfyyb4aaspa 136 23 this this DT work_ilaebg6jyzg6nkbnfyyb4aaspa 136 24 parti- parti- JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 136 25 tion tion NN work_ilaebg6jyzg6nkbnfyyb4aaspa 136 26 into into IN work_ilaebg6jyzg6nkbnfyyb4aaspa 136 27 16 16 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 136 28 + + SYM work_ilaebg6jyzg6nkbnfyyb4aaspa 136 29 8 8 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 136 30 can can MD work_ilaebg6jyzg6nkbnfyyb4aaspa 136 31 be be VB work_ilaebg6jyzg6nkbnfyyb4aaspa 136 32 done do VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 136 33 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 136 34 three three CD work_ilaebg6jyzg6nkbnfyyb4aaspa 136 35 symmetric symmetric JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 136 36 ways way NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 136 37 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 137 1 References reference NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 137 2 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 137 3 Asa Asa NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 4 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 137 5 Boris Boris NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 6 Asancheyev Asancheyev NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 7 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 8 Épures Épures NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 9 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 10 géométrie géométrie NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 11 de- de- RB work_ilaebg6jyzg6nkbnfyyb4aaspa 137 12 scriptive scriptive JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 137 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 14 Concours Concours NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 137 15 d’entrée d’entrée VB work_ilaebg6jyzg6nkbnfyyb4aaspa 137 16 à à CD work_ilaebg6jyzg6nkbnfyyb4aaspa 137 17 l’Ecole l’Ecole NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 18 Normale Normale NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 19 Supérieure Supérieure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 20 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 21 Hermann Hermann NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 22 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 23 Paris Paris NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 24 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 25 2002 2002 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 137 26 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 27 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 137 28 Cohn Cohn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 29 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 137 30 Henry Henry NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 31 Cohn Cohn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 32 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 137 33 Abhinav Abhinav NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 34 Kumar Kumar NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 35 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 36 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 137 37 dens- dens- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 137 38 est e JJS work_ilaebg6jyzg6nkbnfyyb4aaspa 137 39 lattice lattice NN work_ilaebg6jyzg6nkbnfyyb4aaspa 137 40 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 137 41 twenty twenty CD work_ilaebg6jyzg6nkbnfyyb4aaspa 137 42 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 137 43 four four CD work_ilaebg6jyzg6nkbnfyyb4aaspa 137 44 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 137 45 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 46 Electronic Electronic NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 47 Research Research NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 48 Announcements Announcements NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 137 49 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 137 50 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 137 51 AMS AMS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 52 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 53 10 10 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 137 54 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 137 55 2004 2004 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 137 56 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 137 57 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 58 58–67 58–67 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 137 59 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 137 60 arXiv arXiv NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 137 61 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 137 62 math math NN work_ilaebg6jyzg6nkbnfyyb4aaspa 137 63 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 137 64 MG/0408174 mg/0408174 ADD work_ilaebg6jyzg6nkbnfyyb4aaspa 137 65 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 138 1 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 138 2 Cox Cox NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 3 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 138 4 H. H. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 5 S. S. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 6 M. M. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 7 Coxeter Coxeter NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 138 9 Regular Regular NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 10 Polytopes Polytopes NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 11 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 138 12 second second JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 138 13 edition edition NN work_ilaebg6jyzg6nkbnfyyb4aaspa 138 14 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 138 15 McMillan McMillan NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 16 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 138 17 New New NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 18 York York NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 138 19 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 138 20 1963 1963 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 138 21 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 139 1 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 139 2 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 3 B B NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 4 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 139 5 Nikolaas Nikolaas NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 6 G. G. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 7 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 8 Bruijn Bruijn NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 9 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 139 10 Algebraic Algebraic NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 11 theory theory NN work_ilaebg6jyzg6nkbnfyyb4aaspa 139 12 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 139 13 Pen- Pen- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 14 rose rise VBD work_ilaebg6jyzg6nkbnfyyb4aaspa 139 15 ’s ’ VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 139 16 non non JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 139 17 - - JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 139 18 periodic periodic JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 139 19 tilings tiling NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 139 20 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 139 21 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 139 22 plane plane NN work_ilaebg6jyzg6nkbnfyyb4aaspa 139 23 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 139 24 i i PRP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 25 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 139 26 ii ii NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 27 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 139 28 Nederl Nederl NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 139 29 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 140 1 Akad Akad NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 140 2 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 141 1 Wetensch Wetensch NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 141 2 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 142 1 Proc Proc NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 142 2 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 143 1 Ser Ser NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 143 2 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 144 1 A a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 144 2 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 144 3 84 84 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 144 4 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 144 5 38–52 38–52 JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 144 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 144 7 53–66 53–66 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 144 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 144 9 1981 1981 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 144 10 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 145 1 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 145 2 Hen hen NN work_ilaebg6jyzg6nkbnfyyb4aaspa 145 3 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 145 4 Linda Linda NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 145 5 Dalrymple Dalrymple NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 145 6 Henderson Henderson NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 145 7 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 145 8 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 145 9 Fourth Fourth NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 145 10 Di- Di- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 145 11 mension mension NN work_ilaebg6jyzg6nkbnfyyb4aaspa 145 12 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 145 13 Non non JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 145 14 - - JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 145 15 Euclidean euclidean JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 145 16 Geometry Geometry NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 145 17 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 145 18 Modern Modern NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 145 19 Art Art NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 145 20 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 145 21 Princeton Princeton NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 145 22 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 145 23 1983 1983 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 145 24 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 146 1 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 146 2 Jouf Jouf NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 3 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 146 4 Esprit Esprit NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 5 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 146 7 Traité Traité NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 8 élémentaire élémentaire NN work_ilaebg6jyzg6nkbnfyyb4aaspa 146 9 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 10 géométrie géométrie NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 11 à à NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 12 quatre quatre NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 13 dimensions dimension NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 146 14 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 146 15 Hermann Hermann NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 16 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 146 17 Paris Paris NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 146 18 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 146 19 1903 1903 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 146 20 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 147 1 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 147 2 Kem Kem NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 147 3 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 147 4 Martin Martin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 147 5 Kemp Kemp NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 147 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 147 7 A a DT work_ilaebg6jyzg6nkbnfyyb4aaspa 147 8 trick trick NN work_ilaebg6jyzg6nkbnfyyb4aaspa 147 9 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 147 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 147 11 tiles tile NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 147 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 147 13 Nature nature NN work_ilaebg6jyzg6nkbnfyyb4aaspa 147 14 436 436 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 147 15 ( ( -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 147 16 2005 2005 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 147 17 ) ) -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 147 18 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 147 19 332–332 332–332 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 147 20 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 148 1 April April NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 148 2 2007 2007 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 148 3 Notices Notices NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 148 4 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 148 5 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 148 6 AMS AMS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 148 7 509 509 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 148 8 Figure Figure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 148 9 6 6 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 148 10 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 149 1 From from IN work_ilaebg6jyzg6nkbnfyyb4aaspa 149 2 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 149 3 ’s ’s NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 149 4 Figure Figure NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 149 5 36 36 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 149 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 149 7 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 149 8 projections projection NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 149 9 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 149 10 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 149 11 24-cell 24-cell CD work_ilaebg6jyzg6nkbnfyyb4aaspa 149 12 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 150 1 Figure figure NN work_ilaebg6jyzg6nkbnfyyb4aaspa 150 2 7 7 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 150 3 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 151 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 151 2 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 151 3 solid solid JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 151 4 tori tori NN work_ilaebg6jyzg6nkbnfyyb4aaspa 151 5 implicit implicit NN work_ilaebg6jyzg6nkbnfyyb4aaspa 151 6 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 151 7 Jouffret Jouffret NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 151 8 ’s ’s POS work_ilaebg6jyzg6nkbnfyyb4aaspa 151 9 diagram diagram NN work_ilaebg6jyzg6nkbnfyyb4aaspa 151 10 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 151 11 with with IN work_ilaebg6jyzg6nkbnfyyb4aaspa 151 12 their -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 151 13 interior interior JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 151 14 vertices vertex NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 151 15 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 152 1 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 152 2 extra extra JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 152 3 edges edge NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 152 4 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 5 two two CD work_ilaebg6jyzg6nkbnfyyb4aaspa 152 6 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 7 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 152 8 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 152 9 necklace necklace NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 152 10 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 152 11 octahedra octahedron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 152 12 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 152 13 shown show VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 14 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 15 green green JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 152 16 ; ; : work_ilaebg6jyzg6nkbnfyyb4aaspa 152 17 those those DT work_ilaebg6jyzg6nkbnfyyb4aaspa 152 18 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 19 one one CD work_ilaebg6jyzg6nkbnfyyb4aaspa 152 20 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 21 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 152 22 seize seize NN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 23 octaèdres octaèdre NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 152 24 fondamentaux fondamentaux RB work_ilaebg6jyzg6nkbnfyyb4aaspa 152 25 are be VBP work_ilaebg6jyzg6nkbnfyyb4aaspa 152 26 shown show VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 27 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 28 orange orange NN work_ilaebg6jyzg6nkbnfyyb4aaspa 152 29 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 153 1 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 153 2 Metz Metz NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 3 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 153 4 Jean Jean NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 5 Metzinger Metzinger NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 153 7 Notes Notes NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 8 sur sur FW work_ilaebg6jyzg6nkbnfyyb4aaspa 153 9 la la JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 153 10 peinture peinture NN work_ilaebg6jyzg6nkbnfyyb4aaspa 153 11 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 153 12 Pan Pan NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 153 14 Oct.-Nov Oct.-Nov NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 15 . . NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 16 1910 1910 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 153 17 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 153 18 translated translate VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 153 19 and and CC work_ilaebg6jyzg6nkbnfyyb4aaspa 153 20 partially partially RB work_ilaebg6jyzg6nkbnfyyb4aaspa 153 21 reprint- reprint- FW work_ilaebg6jyzg6nkbnfyyb4aaspa 153 22 ed ed NN work_ilaebg6jyzg6nkbnfyyb4aaspa 153 23 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 153 24 Edward Edward NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 25 Fry Fry NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 26 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 153 27 Cubism Cubism NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 28 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 153 29 McGraw McGraw NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 30 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 153 31 Hill Hill NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 32 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 153 33 New New NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 34 York York NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 153 35 1966 1966 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 153 36 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 154 1 Quoted quote VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 154 2 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 154 3 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 154 4 Hen hen NN work_ilaebg6jyzg6nkbnfyyb4aaspa 154 5 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 154 6 page page NN work_ilaebg6jyzg6nkbnfyyb4aaspa 154 7 64 64 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 154 8 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 155 1 Here here RB work_ilaebg6jyzg6nkbnfyyb4aaspa 155 2 is be VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 155 3 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 155 4 whole whole JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 155 5 paragraph paragraph NN work_ilaebg6jyzg6nkbnfyyb4aaspa 155 6 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 155 7 “ " `` work_ilaebg6jyzg6nkbnfyyb4aaspa 155 8 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 9 ne ne NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 10 nie nie NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 11 pas pas NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 12 l’objet l’objet NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 155 14 il il NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 15 l’illumine l’illumine NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 16 avec avec FW work_ilaebg6jyzg6nkbnfyyb4aaspa 155 17 son son NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 18 intelligence intelligence NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 19 et et NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 155 20 son son NN work_ilaebg6jyzg6nkbnfyyb4aaspa 155 21 sentiment sentiment NN work_ilaebg6jyzg6nkbnfyyb4aaspa 155 22 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 156 1 Aux Aux NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 156 2 perceptions perception NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 156 3 visuelles visuelle NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 156 4 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 156 5 il il NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 156 6 joint joint JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 156 7 les les NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 156 8 percep- percep- XX work_ilaebg6jyzg6nkbnfyyb4aaspa 156 9 tions tion NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 156 10 tactiles tactile NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 156 11 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 157 1 Il il IN work_ilaebg6jyzg6nkbnfyyb4aaspa 157 2 éprouve éprouve NN work_ilaebg6jyzg6nkbnfyyb4aaspa 157 3 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 157 4 comprend comprend NN work_ilaebg6jyzg6nkbnfyyb4aaspa 157 5 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 157 6 organise organise NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 7 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 157 8 le le NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 9 tableau tableau NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 10 ne ne NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 11 sera sera NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 12 transposition transposition NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 13 ni ni NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 14 schema schema NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 15 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 157 16 nous nous JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 157 17 y y NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 18 contemplerons contempleron NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 157 19 l’équivalent l’équivalent NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 20 sensible sensible JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 157 21 et et FW work_ilaebg6jyzg6nkbnfyyb4aaspa 157 22 vivant vivant JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 157 23 d’une d’une NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 157 24 idée idée NN work_ilaebg6jyzg6nkbnfyyb4aaspa 157 25 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 157 26 l’image l’image NN work_ilaebg6jyzg6nkbnfyyb4aaspa 157 27 totale totale NN work_ilaebg6jyzg6nkbnfyyb4aaspa 157 28 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 158 1 Thèse Thèse NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 2 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 158 3 antithèse antithèse NN work_ilaebg6jyzg6nkbnfyyb4aaspa 158 4 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 158 5 syn- syn- NN work_ilaebg6jyzg6nkbnfyyb4aaspa 158 6 thèse thèse NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 7 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 158 8 la la NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 9 vieille vieille NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 10 formule formule NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 11 subit subit NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 12 une une NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 13 énergique énergique NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 14 interversion interversion NN work_ilaebg6jyzg6nkbnfyyb4aaspa 158 15 dans dan NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 158 16 la la IN work_ilaebg6jyzg6nkbnfyyb4aaspa 158 17 substance substance NN work_ilaebg6jyzg6nkbnfyyb4aaspa 158 18 des des FW work_ilaebg6jyzg6nkbnfyyb4aaspa 158 19 deux deux FW work_ilaebg6jyzg6nkbnfyyb4aaspa 158 20 pre- pre- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 21 miers mier NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 158 22 termes term VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 158 23 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 158 24 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 25 s’avoue s’avoue NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 158 26 réaliste réaliste NN work_ilaebg6jyzg6nkbnfyyb4aaspa 158 27 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 159 1 Cézanne Cézanne NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 2 nous nous JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 159 3 montra montra NN work_ilaebg6jyzg6nkbnfyyb4aaspa 159 4 les les FW work_ilaebg6jyzg6nkbnfyyb4aaspa 159 5 formes formes NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 6 vivre vivre NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 7 dans dan NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 159 8 la la NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 9 réalité réalité NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 10 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 11 la la NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 12 lumière lumière NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 13 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 159 14 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 15 nous nous JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 159 16 apporte apporte NN work_ilaebg6jyzg6nkbnfyyb4aaspa 159 17 un un NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 18 compte- compte- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 19 rendu rendu NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 20 matériel matériel NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 21 de de NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 22 leur leur NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 23 vie vie NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 24 réelle réelle NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 25 dans dans NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 159 26 l’esprit l’esprit NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 27 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 159 28 il il NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 29 fonde fonde NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 30 une une NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 31 perspective perspective NN work_ilaebg6jyzg6nkbnfyyb4aaspa 159 32 libre libre NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 33 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 159 34 mobile mobile NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 35 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 159 36 telle telle NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 37 que que NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 38 le le NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 39 sagace sagace NN work_ilaebg6jyzg6nkbnfyyb4aaspa 159 40 mathématicien mathématicien NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 41 Maurice Maurice NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 42 Princet Princet NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 43 en en NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 44 déduit déduit NN work_ilaebg6jyzg6nkbnfyyb4aaspa 159 45 toute toute NN work_ilaebg6jyzg6nkbnfyyb4aaspa 159 46 une une NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 47 géométrie géométrie NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 48 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 159 49 ” " '' work_ilaebg6jyzg6nkbnfyyb4aaspa 159 50 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 159 51 Pic Pic NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 52 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 159 53 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 54 speaks speak VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 159 55 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 159 56 The the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 159 57 Arts Arts NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 159 58 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 159 59 New New NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 60 York York NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 61 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 159 62 May May NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 159 63 1923 1923 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 159 64 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 160 1 Reproduced reproduce VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 2 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 3 Alfred Alfred NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 4 H. H. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 5 Barr Barr NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 6 Jr. Jr. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 7 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 160 8 Picasso Picasso NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 9 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 160 10 Fifty Fifty NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 11 Years Years NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 160 12 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 13 his -PRON- PRP$ work_ilaebg6jyzg6nkbnfyyb4aaspa 160 14 Art Art NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 15 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 160 16 Museum Museum NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 17 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 18 Modern Modern NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 19 Art Art NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 20 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 160 21 New New NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 22 York York NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 23 1946 1946 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 160 24 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 160 25 reprint reprint NN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 26 edition edition NN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 27 published publish VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 28 for for IN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 29 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 160 30 mu- mu- NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 31 seum seum NN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 32 by by IN work_ilaebg6jyzg6nkbnfyyb4aaspa 160 33 Arno Arno NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 34 Press Press NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 160 35 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 160 36 1966 1966 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 160 37 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 161 1 Also also RB work_ilaebg6jyzg6nkbnfyyb4aaspa 161 2 reprinted reprint VBN work_ilaebg6jyzg6nkbnfyyb4aaspa 161 3 in in IN work_ilaebg6jyzg6nkbnfyyb4aaspa 161 4 Edward Edward NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 161 5 Fry Fry NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 161 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 161 7 Cubism Cubism NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 161 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 161 9 McGraw McGraw NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 161 10 - - HYPH work_ilaebg6jyzg6nkbnfyyb4aaspa 161 11 Hill Hill NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 161 12 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 161 13 New New NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 161 14 York York NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 161 15 1966 1966 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 161 16 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 162 1 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 162 2 Rob Rob NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 162 3 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 162 4 Tony Tony NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 162 5 Robbin Robbin NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 162 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 162 7 Fourfield Fourfield NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 162 8 : : : work_ilaebg6jyzg6nkbnfyyb4aaspa 162 9 Computers computer NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 162 10 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 162 11 Art art NN work_ilaebg6jyzg6nkbnfyyb4aaspa 162 12 & & CC work_ilaebg6jyzg6nkbnfyyb4aaspa 162 13 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 162 14 4th 4th JJ work_ilaebg6jyzg6nkbnfyyb4aaspa 162 15 Dimension Dimension NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 162 16 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 162 17 Little Little NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 162 18 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 162 19 Brown Brown NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 162 20 & & CC work_ilaebg6jyzg6nkbnfyyb4aaspa 162 21 Co. Co. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 162 22 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 162 23 Boston Boston NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 162 24 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 162 25 1992 1992 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 162 26 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 163 1 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 163 2 web web NN work_ilaebg6jyzg6nkbnfyyb4aaspa 163 3 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 163 4 http://www.math.okstate.edu/mathdept/ http://www.math.okstate.edu/mathdept/ ADD work_ilaebg6jyzg6nkbnfyyb4aaspa 163 5 dynamics dynamic NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 163 6 / / SYM work_ilaebg6jyzg6nkbnfyyb4aaspa 163 7 lecnotes lecnotes NNPS work_ilaebg6jyzg6nkbnfyyb4aaspa 163 8 / / SYM work_ilaebg6jyzg6nkbnfyyb4aaspa 163 9 node29.html node29.html NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 163 10 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 163 11 David David NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 163 12 J. J. NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 163 13 Wright Wright NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 163 14 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 163 15 Oklahoma Oklahoma NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 163 16 State State NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 163 17 University University NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 163 18 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 164 1 [ [ -LRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 164 2 web2 web2 NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 164 3 ] ] -RRB- work_ilaebg6jyzg6nkbnfyyb4aaspa 164 4 http://gregegan.customer.netspace.net.au/ http://gregegan.customer.netspace.net.au/ NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 164 5 APPLETS/12/12.html applets/12/12.html CD work_ilaebg6jyzg6nkbnfyyb4aaspa 164 6 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 164 7 Greg Greg NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 164 8 Egan Egan NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 164 9 — — : work_ilaebg6jyzg6nkbnfyyb4aaspa 164 10 refers refer VBZ work_ilaebg6jyzg6nkbnfyyb4aaspa 164 11 to to IN work_ilaebg6jyzg6nkbnfyyb4aaspa 164 12 Quasitiler Quasitiler NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 164 13 documentation documentation NN work_ilaebg6jyzg6nkbnfyyb4aaspa 164 14 . . . work_ilaebg6jyzg6nkbnfyyb4aaspa 165 1 510 510 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 165 2 Notices notice NNS work_ilaebg6jyzg6nkbnfyyb4aaspa 165 3 of of IN work_ilaebg6jyzg6nkbnfyyb4aaspa 165 4 the the DT work_ilaebg6jyzg6nkbnfyyb4aaspa 165 5 AMS AMS NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 165 6 Volume Volume NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 165 7 54 54 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 165 8 , , , work_ilaebg6jyzg6nkbnfyyb4aaspa 165 9 Number number NN work_ilaebg6jyzg6nkbnfyyb4aaspa 165 10 4 4 CD work_ilaebg6jyzg6nkbnfyyb4aaspa 165 11 http://www.math.okstate.edu/mathdept/dynamics/lecnotes/node29.html http://www.math.okstate.edu/mathdept/dynamics/lecnotes/node29.html NN work_ilaebg6jyzg6nkbnfyyb4aaspa 165 12 http://www.math.okstate.edu/mathdept/dynamics/lecnotes/node29.html http://www.math.okstate.edu/mathdept/dynamics/lecnotes/node29.html '' work_ilaebg6jyzg6nkbnfyyb4aaspa 165 13 http://gregegan.customer.netspace.net.au/APPLETS/12/12.html http://gregegan.customer.netspace.net.au/APPLETS/12/12.html NNP work_ilaebg6jyzg6nkbnfyyb4aaspa 165 14 http://gregegan.customer.netspace.net.au/APPLETS/12/12.html http://gregegan.customer.netspace.net.au/APPLETS/12/12.html NNP