A self-similar tiling of Euclidean space by two shapes in two sizes

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, , Citation F M Dekking 1996 J. Phys. A: Math. Gen. 29 2123 DOI 10.1088/0305-4470/29/9/023

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1 Thomas Stieltjes Institute for Mathematics, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands

Dates

  1. Received 24 October 1995

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0305-4470/29/9/2123

Abstract

We present a set of tiles consisting of a tetrahedron and an octahedron in two sizes which admits a tile inflation yielding a non-periodic tiling of space.

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