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arxiv: cond-mat/9809100 · v1 · submitted 1998-09-05 · ❄️ cond-mat · math.CO· math.MG

Symmetry Structure of the Elser-Sloane Quasicrystal

classification ❄️ cond-mat math.COmath.MG
keywords quasicrystalstructuresymmetryallowsanalysiscut-and-projectelserelser-sloane
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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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