Remarks on Penrose Tilings

N. G. de Bruijn
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N. G. de Bruijn: Technische Universiteit Eindhoven, Department of Mathematics and Computer Science

A chapter in The Mathematics of Paul Erdős I, 2013, pp 461-481 from Springer

Abstract: Abstract This paper will cover some details on Penrose tilings presented in lectures over the years but never published in print before. The main topics are: (i) the characterizability of Penrose tilings by means of a local rule that does not refer to arrows on the edges of the tiles, and (ii) the fact that the Ammann quasigrid of the inflation of a Penrose tiling is topologically equivalent to the pentagrid that generates the original tiling.

Keywords: Penrose Tiling; Pentagrid; Topological Equivalence; Thick Rhombus; Thin Rhombus (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-7258-2_29

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DOI: 10.1007/978-1-4614-7258-2_29

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