Some Generalizations of the Pinwheel Tiling

  • L. Sadun
  • Published 1998 in Discrete & Computational Geometry


We introduce a new family of nonperiodic tilings, based on a substitution rule that generalizes the pinwheel tiling of Conway and Radin. In each tiling the tiles are similar to a single triangular prototile. In a countable number of cases, the tiles appear in a finite number of sizes and an infinite number of orientations. These tilings generally do not… (More)
DOI: 10.1007/PL00009379

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