Building Polyhedra from Polygons with Colored Edges

Year: 2015 Authors: Ioana Browne; Mircea Draghicescu

Core claim

Graph-theoretic edge-coloring results yield small complete sets of polygon colorings for building many polyhedra, including all polyhedra with triangular and square faces.

Topics

polyhedral construction, edge coloring, complete coloring sets, geometric toys, graph theory

Domains

graph theory, equitable edge coloring, polyhedral graphs, combinatorics, geometric design, construction systems, paper sculpture, educational craft

Methods

graph reformulation, color-signature analysis, theorem proof, constructive examples

Media

polygonal pieces, colored edges, notched rigid material, polyhedron models

Source status

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