Skip to main content
SpringerLink
Log in

Deterministic Aperiodic Tile Sets

  • Published:
Geometric & Functional Analysis GAFA Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Dept. of Computer Science, MLH 14, University of Iowa, Iowa City, IA 52242, USA, e-mail: jjkari@cs.uiowa.edu, , , , , , US

    J. Kari

  2. Département des Mathématiques, Université de Paris-Sud, 91405 Orsay, France, e-mail: Panagiotis.Papasoglu@math.u-psud.fr, , , , , , FR

    P. Papasoglu

Authors
  1. J. Kari
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. Papasoglu
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Submitted: February 1998, revised: October 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kari, J., Papasoglu, P. Deterministic Aperiodic Tile Sets. GAFA, Geom. funct. anal. 9, 353–369 (1999). https://doi.org/10.1007/s000390050090

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000390050090

Keywords

Search

Navigation