Abstract
We consider tilings of Euclidean spaces by polygons or polyhedra, in particular, tilings made by a substitution process, such as the Penrose tilings of the plane. We define an isomorphism invariant related to a subgroup of rotations and compute it for various examples. We also extend our analysis to more general dynamical systems.
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Radin, C., Sadun, L. An Algebraic Invariant for Substitution Tiling Systems. Geometriae Dedicata 73, 21–37 (1998). https://doi.org/10.1023/A:1005049029964
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DOI: https://doi.org/10.1023/A:1005049029964