How to Build an Origami Nine-Color Map on a Genus-Three Torus

Year: 2023 Authors: Eve Torrence

Core claim

A Sonobe origami sculpture can physically realize a nine-color map on a genus-three surface, demonstrating the Heawood bound.

Topics

map coloring, genus-three torus, origami sculpture, topological proof

Domains

graph theory, topology, map coloring, Heawood bound, origami, paper sculpture, mathematical art, design process

Methods

Sonobe unit construction, diagrammatic assembly, trial-and-error design, color-region mapping

Media

Sonobe units, paper, folded model, construction diagrams

Source status

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