Symmetry of tilings of the plane
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- by Charles Radin PDF
- Bull. Amer. Math. Soc. 29 (1993), 213-217 Request permission
Abstract:
We discuss two new results on tilings of the plane. In the first, we give sufficient conditions for the tilings associated with an inflation rule to be uniquely ergodic under translations, the conditions holding for the pinwheel inflation rule. In the second result we prove there are matching rules for the pinwheel inflation rule, making the system the first known to have complete rotational symmetry.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 29 (1993), 213-217
- MSC (2000): Primary 28D05; Secondary 52C20
- DOI: https://doi.org/10.1090/S0273-0979-1993-00425-7
- MathSciNet review: 1215313