Truchet Tilings and Renormalization

Details Truchet Tilings and Renormalization Truchet Tilings and Renormalization

2011-03-30

arxiv.org/abs/1103.6046v2

Mathematics

Dynamical Systems

This paper has been withdrawn, because it duplicates many of the results found in the following paper: Gabor Pete, Corner perc

Scientific paper

The Truchet tiles are a pair of square tiles decorated by arcs. When the
tiles are pieced together to form a Truchet tiling, these arcs join to form a
family of simple curves in the plane. We consider a family of probability
measures on the space of Truchet tilings. Renormalization methods are used to
investigate the probability that a curve in a Truchet tiling is closed.

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