Multi-Scale Truchet Patterns
Christopher Carlson

Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture
Pages 39–44
Regular Papers

Abstract

In his paper on the pattern work of Truchet, Cyril Stanley Smith introduced a variant of Truchet’s tile that gives patterns of continuous lines that delineate two-colorable domains. We generalize Smith’s tiles to infinite sets of tiles scaled by powers of 1/2. Using the concept of a “winged” tile, we show an easy way of producing multi- scale patterns that show a large variety of emergent forms.

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