Bead Crochet Bracelets: What Would Escher Do?

Ellie Baker and Susan Goldstine
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012)
Pages 567–572


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.