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Lattice representations of Penrose tilings of the plane

1999/11/17 by Matthias W. Reinsch, Reinsch, Matthias W.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/9911024

11 pages, 9 figures

arxiv created 2000/03/02 · arxiv updated 2009/11/30

Abstract

Two-, three- and four-dimensional representations of Penrose tilings of the plane are described. The vertices that occur in these representations lie on lattices. Symmetries and methods of visualizing these representations are discussed. The question of efficiently storing the information necessary to reconstruct a tiling is addressed.

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