Theoretical Computer Science
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Theoretical Computer Science
On Aperiodic Sets of Wang Tiles
Foundations of Computer Science: Potential - Theory - Cognition, to Wilfried Brauer on the occasion of his sixtieth birthday
Tilings: recursivity and regularity
Theoretical Computer Science
STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
An Almost Totally Universal Tile Set
TAMC '09 Proceedings of the 6th Annual Conference on Theory and Applications of Models of Computation
Tilings: Simulation and universality
Mathematical Structures in Computer Science
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To tile consists in assembling colored tiles on Z2 while respecting color matching. Tilings, the outcome of the tile process, can be seen as a computationmodel. In order to better understand the global structure of tilings, we introduce two topologies on tilings, one à la Cantor and another one à la Besicovitch. Our topologies are concerned with the whole set of tilings that can be generated by any tile set and are thus independent of a particular tile set. We study the properties of these two spaces and compare them. Finally, we introduce two infinite games on these spaces that are promising tools for the study of the structure of tilings.