Patterns from Archimedean Tilings Using Generalized Truchet Tiles Decorated with Simple Bézier Curves

David A. Reimann
Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (2010)
Pages 427–430

Abstract

Decorated tiles with simple motifs have been used to enhance the visual appeal of tilings by infusing the underlying tessellation with additional patterns. This paper explores a generalization of Truchet tiles by decorating tiles made from regular polygons with simple Bezier curves and considering more than one arc per side. Examples of the generalized tilings for each of the Archimedean tilings are presented using one and two arcs per side. The tension present between the global irregularity and both the local similarity and positional regularity of the generated curves provides excitement and movement not present in the underlying tessellations.

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