1990•Journal de physiqueOpen access

A quasi-crystalline sphere-packing with unexpected high density

Jörg M. Wills

Abstract

Hendley and later Olamy and Kléman constructed circle packings in 2D-Penrose tilings of high packing densities. From these circle packings one obtains with an additional idea a sphere packing in a cylindrical 3D-Penrose tiling of packing density 0.67798.., which is higher than the best known packing densities of 0.62... for usual quasicrystals. This packing might be a model for the cylindrical quasicrystals discovered by Bendersky et al., Schaefer et al. and Fung et al.

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Key concepts: Sphere packing, Quasicrystal, Circle packing, Close-packing of equal spheres, Penrose tiling, Atomic packing factor, Materials science, Crystallography