A Note on Aperiodic Ammann Tiles

نویسنده

  • Shigeki Akiyama
چکیده

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. We shall show that the set of tiles in Figure 1 is aperiodic, that is, it tiles the plane but only in non periodic way.

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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 48  شماره 

صفحات  -

تاریخ انتشار 2012