We discuss patterns formed by terracotta tiles found on a housing terrasse in London, UK and note their relationship to Truchet tiles. We consider some of the mathematical questions that arise when combining the tiles into 2 × 2 arrays and their use in the creation of woven strips. In particular, we determine equivalence classes of patterns, and using graph theory and combinatorics we provide results regarding the number of woven strips that meet particular criteria.
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Knoll et al. (2024) studied this question.
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