Discrete & Computational Geometry

, Volume 20, Issue 2, pp 265–279

Nonperiodicity implies unique composition for self-similar translationally finite Tilings


DOI: 10.1007/PL00009386

Cite this article as:
Solomyak, B. Discrete Comput Geom (1998) 20: 265. doi:10.1007/PL00009386


Let T be a translationally finite self-similar tiling of Rd. 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.

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© Springer-Verlag 1998

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA