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Publication Citation: Stable Quasicrystalline Sphere Packing

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Author(s): Eric J. Cockayne; M Mihalkovic;
Title: Stable Quasicrystalline Sphere Packing
Published: March 01, 1999
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
Research Areas: Math