Abstract
Wills (1990, J. Phys., Paris, 51, 1061) found a method relating certain decagonal disc 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.
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