Fabric Models of Maximal Complete Maps on a Three-Holed Torus

Year: 2023 Authors: Ellie Baker; Eve Torrence

Core claim

Fabric templates sewn from Heffter’s and Séquin’s descriptions provide hands-on visual proofs that maximal complete maps on a genus-3 surface exist.

Topics

complete maps, genus-3 surfaces, fabric modeling, map coloring

Domains

topology, graph theory, map coloring, surface genus, textile art, fabric craft, mathematical visualization, hands-on modeling

Methods

template design, fabric printing, sewing construction, visual manipulation

Media

Performance Pique fabric, Spoonflower prints, sewn fabric models, flat templates

Source status

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