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Discrete & Computational Geometry

, Volume 20, Issue 2, pp 265–279 | Cite as

Nonperiodicity implies unique composition for self-similar translationally finite Tilings

  • B. SolomyakEmail author
Article

Abstract

Let T be a translationally finite self-similar tiling of R d . We prove that if T is nonperiodic, then it has the unique composition property. More generally, T has the unique composition property modulo the group of its translation symmetries.

Keywords

Discrete Comput Geom Substitution Rule Unique Composition Local Isomorphism Disjoint Interior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1998

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

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