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arXiv · 1901.07346

Golden, Quasicrystalline, Chiral Packings of Tetrahedra

Fang Fang·Garrett Sadler·Julio Kovacs·Klee Irwin
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Abstract

Since antiquity, the packing of convex shapes has been of great interest to many scientists and mathematicians. Recently, particular interest has been given to packings of three-dimensional tetrahedra. Dense packings of both crystalline and semi-quasicrystalline have been reported. It is interesting that a semiquasicrystalline packing of tetrahedra can emerge naturally within a thermodynamic simulation approach. However, this packing is not perfectly quasicrystalline and the packing density, while dense, is not maximal. Here we suggest that a "golden rotation" between tetrahedral facial junctions can arrange tetrahedra into a perfect quasicrystalline packing.

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Fang Fang, Garrett Sadler, Julio Kovacs, Klee Irwin. 2019-01-07. Golden, Quasicrystalline, Chiral Packings of Tetrahedra. https://arxiv.org/abs/1901.07346

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