Sculpting Mapping Cylinders: Seamless Crochet of Topological Surfaces

Year: 2023 Authors: Shiying Dong

Core claim

Crochet can physically realize mapping cylinders and create surfaces bounded by knots, links, and polylinks through controlled chain twisting and stitch joining.

Topics

topological crochet, mapping cylinder, knots and links, ribbon graphs

Domains

algebraic topology, knot theory, surface topology, graph theory, fiber arts, craft sculpture, mathematical art, textile design

Methods

foundation chains, stitch joining, ribbon graph construction, crochet workshop

Media

worsted-weight yarn, copper wire, crochet hook, stitch markers

Source status

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