Linked Knots from the gyro Operation on the Dodecahedron

Year: 2022 Authors: Henriette Lipschütz; Martin Skrodzki; Ulrich Reitebuch; Konrad Polthier

Core claim

Iterated gyro operation on the dodecahedron yields a link-diagram structure with exactly six knots, realizable as handcrafted yarn spheres.

Topics

gyro operation, dodecahedron, knot diagrams, weaving patterns, temari

Domains

polyhedra, knot theory, graph embeddings, Petrie walks, link diagrams, fiber art, mathematical craft, textile sculpture

Methods

combinatorial analysis, geometric embedding, Petrie walk counting, link diagram construction, handcrafted modeling

Media

yarn, physical spheres, polyhedral models, renderings, link diagrams

Source status

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