Bead Crochet Bracelets: What Would Escher Do?
Ellie Baker and Susan Goldstine

Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture
Pages 567–572
Workshop papers

Abstract

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.

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