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Stable Quasicrystalline Sphere Packing

Published

Author(s)

Eric J. Cockayne, M Mihalkovic

Abstract

Wills (1990, J. Phys., Paris 51, 1061), found a method relating certain decagonal disk packings to decagonal sphere packings with high packing fractions. Applying this technique to the decagonal rectangle-triangle tiling generated by inflation, we obtain a sphere packing with decagonal symmetry and a packing fraction greater than 0.6953. This is the densest known stable quasicrystalline sphere packing.
Citation
Stable Quasicrystalline Sphere Packing
Volume
79
Issue
No. 7

Keywords

decagonal, quasicrystals, sphere packings

Citation

Cockayne, E. and Mihalkovic, M. (1999), Stable Quasicrystalline Sphere Packing, Stable Quasicrystalline Sphere Packing (Accessed October 31, 2024)

Issues

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Created March 1, 1999, Updated February 19, 2017