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An Algebraic Invariant for Substitution Tiling Systems

Authors
  • Radin, Charles
  • Sadun, Lorenzo
Type
Preprint
Publication Date
Dec 24, 1997
Submission Date
Dec 24, 1997
Identifiers
arXiv ID: math/9712264
Source
arXiv
License
Unknown
External links

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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