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PUBLICATIONS

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
Pub Type
Others

Keywords

decagonal, quasicrystals, sphere packings
Mathematics and statistics

Citation

Cockayne, E. and Mihalkovic, M. (1999), Stable Quasicrystalline Sphere Packing, Stable Quasicrystalline Sphere Packing (Accessed May 11, 2025)

Issues

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Created March 1, 1999, Updated February 19, 2017