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PREVIOUS ATTEMPTS TO CHARACTERIZE PARTICULATE SYSTEMS
COMPUTER SIMULATION OF DENSE RANDOM COVERINGS OF CIRCLES
COMPUTER SIMULATION OF DENSE RANDOM PACKINGS OF SPHERES
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angles array average number Bernal calculated central circle central sphere circle coverings circle distribution circle sizes COMPUTER SIMULATION contacting spheres covering density covering properties coverings of equal Delaunay dense ran dense random coverings dense random packing dense-packed edge length distribution equal circles equal spheres equal-sphere packing equation formed frequency geometric standard deviation geometrical neighbors hedra hedron individual tetrahedra interstitial radius log-normal distributions loose packings loose random coverings loose random packing number of contacts number of spheres number of tetrahedra packing density packing of equal packings of spheres particles particulate systems plane polygons polyhedron pore area pore volume predicted random packing properties reference sphere regular packings shown in figure simplicial graph simplicial tetrahedra simulating the construction space-filling sphere centers sphere distribution sphere packings sphere population sphere radii sphere sizes standard deviation statistical geometry tangent edge tangent spheres tetrahedron edge length three-dimensional tion triangle unequal spheres uniform distribution Voronoi polyhedra