Knotology Baskets and Topological Maps

Year: 2015 Authors: James Mallos

Core claim

Every topological map describes a knotology basket, but geometric realizability in three-dimensional space remains unresolved.

Topics

knotology weaving, topological maps, quadrilateral surfaces, geometric realizability

Domains

topology, graph theory, surface embeddings, polyhedral combinatorics, weaving, basketry, sculptural design, material craft

Methods

bijection construction, bicolored radial construction, paper models, surface assembly

Media

paper, aluminum sheet, rectangular strips, folded tiles

Source status

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