Geometric & Functional Analysis GAFA

, Volume 9, Issue 2, pp 353–369

Deterministic Aperiodic Tile Sets

  • J. Kari
  • P. Papasoglu

DOI: 10.1007/s000390050090

Cite this article as:
Kari, J. & Papasoglu, P. GAFA, Geom. funct. anal. (1999) 9: 353. doi:10.1007/s000390050090

Abstract.

Wang tiles are square tiles with colored edges. We construct an aperiodic set of Wang tiles that is strongly deterministic in the sense that any two adjacent edges of a tile determine the tile uniquely. Consequently, the tiling group of this set is not hyperbolic and it acts discretely and co-compactly on a CAT(0) space.

Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • J. Kari
    • 1
  • P. Papasoglu
    • 2
  1. 1.Dept. of Computer Science, MLH 14, University of Iowa, Iowa City, IA 52242, USA, e-mail: jjkari@cs.uiowa.eduUS
  2. 2.Département des Mathématiques, Université de Paris-Sud, 91405 Orsay, France, e-mail: Panagiotis.Papasoglu@math.u-psud.frFR