Symmetry Structure of the Elser-Sloane Quasicrystal

1998/09/05 by Michael Baake, Franz Gähler
Physics and Astronomy · Mathematics · #cond-mat #math.CO #math.MG

paper · pdf

published as Aperiodic 97, eds. M. de Boissieu et al., World Scientific, Singapore (1998), pp. 63-67. · 5 pages, 1 figure; to appear in: Aperiodic 97, eds. M. de Boissieu, J. L. Verger-Gaugry and R. Currat, World Scientific, Singapore (1998), in press

arxiv created 1998/09/05 · arxiv updated 2009/11/30

Abstract

The 4D quasicrystal of Elser and Sloane, obtained from the root lattice E8 by the cut-and-project method, can be parametrized by the points of an 8D torus. This allows for an explicit analysis of its point and inflation symmetry structure.

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