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A Note on Aperiodic Ammann Tiles
Authors:Shigeki Akiyama
Affiliation:1. Department of Mathematics, Faculty of Science, Niigata University, Ikarashi-2, 8050, Nishiku, Niigata, Japan
Abstract:We present a variant of Ammann tiles consisting of two similar rectilinear hexagons with edge subdivision, which can tile the plane but only in non-periodic ways. A special matching rule, ghost marking, plays a key role in the proof.
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