Bridges 2012 Workshop Paper

The popular handcraft of bead crochet produces elegant toroidal bracelets that are visually appealing and easy to wear. Designing bead crochet patterns is surprisingly challenging because of the arrangement of beads into a continuous spiral around the torus. In this paper, we present bracelets that we have designed in the style of M.C. Escher's tessellations. Each bracelet pattern consists of interlocking copies of a single shape, and we include patterns designed using a powerful new technique for extracting bracelet patterns from planar tilings, along with strategies for creating more patterns.