Using Tiling Theory to Generate Angle Weaves with Beads

Document Type

Article

Publication Date

2012

Abstract

Tilings of the plane, especially periodic tilings, can be used as the basis for flat bead weaving patterns called angle weaves. We describe specific ways to create intricate and beautiful angle weaves from periodic tilings, by placing beads on or near the vertices or edges of a tiling and weaving them together with thread. We also introduce the notion of star tilings and their associated angle weaves. We organize the angle weaves that we create into several classes, and explore some of the relationships among them. We then use the results to design graphic illustrations of many layered patterns. Finally, we prove that every normal tiling induces an angle weave, providing many opportunities for further exploration.

Recommended Citation

Fisher, Gwen L., and Blake Mellor. “Using Tiling Theory to Generate Angle Weaves with Beads.” Journal of Mathematics and the Arts 6, no. 4 (December 1, 2012): 141–58. https://doi.org/10.1080/17513472.2012.736935.

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