Topological Crochet

Year: 2025 Authors: Shiying Dong

Core claim

Foundation chains and ribbon graphs let crocheters build topologically nontrivial surfaces without arbitrary seams or a preferred global direction.

Topics

topological crochet, mathematical sculpture, Seifert surfaces, ribbon graphs

Domains

algebraic topology, knot theory, surface topology, homotopy equivalence, fiber arts, mathematical art, sculpture, craft design

Methods

foundation chains, twisted ribbon graphs, stepwise crocheting, parity-based twist coding

Media

yarn, crochet stitches, fishing line, stitch markers

Source status

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