Packing, Tiling, and Covering with Tetrahedra

It is well known that three-dimensional Euclidean space cannot be tiled by regular tetrahedra. But how well can we do? In this work, we give several constructions that may answer the various senses of this question. In so doing, we provide some solutions to packing, tiling, and covering problems of...

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Veröffentlicht in:	Proceedings of the National Academy of Sciences - PNAS 2006-07, Vol.103 (28), p.10612-10617
Hauptverfasser:	Conway, J. H., Torquato, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Bubbles Coordinate systems Density Euclidean space Icosahedrons Mathematical lattices Octahedrons Packing density Physical Sciences Studies Symmetry Tessellations Tetrahedra Tetrahedrons Vertices
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