Eight Heptagons: The Double Torus Revisited

Year: 2020 Authors: Susan Goldstine

Core claim

Eight crocheted heptagons can be assembled into a double-torus map that realizes the topology needed to show eight colors are required.

Topics

double torus maps, crocheted polygons, genus two topology, coloring problems

Domains

topology, graph coloring, Euler characteristic, surface genus, fiber art, craft design, mathematical art, textile sculpture

Methods

polygon gluing, crochet construction, topological modeling, photo documentation

Media

yarn, crochet, fabric, photographs

Source status

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