# Bridges 2010 Short Paper

Tile Color Matching Using Simple Universal Cycles

Anna Virágvölgyi

(Proceedings pages 495–496)

## Abstract

In a square tiling, one can mark squares using edge-colored matching
rules. I describe a set of matching rules based on universal cycles.
These arise when one studies arrangements of different letters from
a small alphabet into a single sequence in which all possible
permutation of a given length can be found. The results are interesting
visually. They may have applications in creating parquet or other
two dimensional tiling patterns.

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