Cockayne, E.
and Mihalkovic, M.
(1999),
Stable Quasicrystalline Sphere Packing, Stable Quasicrystalline Sphere Packing
(Accessed September 30, 2025)
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Stable Quasicrystalline Sphere Packing
Published
Author(s)
, 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
Citation
Issues
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Created March 1, 1999, Updated February 19, 2017