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