id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-249962-ajnlbno7	Domokos, G'abor	Plato's cube and the natural geometry of fragmentation	2019-12-10		.txt	text/plain	4687	286	53	We apply the theory of convex mosaics to show that the average geometry of natural 2D fragments, from mud cracks to Earth's tectonic plates, has two attractors:"Platonic"quadrangles and"Voronoi"hexagons. These patterns have been reproduced in experiments of mud and corn starch cracks, model 2D fragmentation systems, where the following have been observed: fast drying produces strong tension that drives the formation of primary (global) cracks that criss-cross the sample and make "X" junctions [25] [26] [27] (Fig. 3) ; slow drying allows the formation of secondary cracks that terminate at "T" junctions 26 ; and "T" junctions rearrange into "Y" junctions 25, 28 to either maximise energy release as cracks penetrate the bulk [29] [30] [31] , or during reopening-healing cycles from wetting/drying 32 (Fig. 3) . The cut model simulates regular primitive mosaics as primary fracture patterns by intersecting an initial cube with global planes (Fig.6 ) while the break model simulates irregular primitive mosaics resulting from secondary fragmentation processes.	./cache/cord-249962-ajnlbno7.txt	./txt/cord-249962-ajnlbno7.txt