A Skeleton Key for the Platonic Solids

Year: 2015 Authors: Karl Schaffer

Core claim

S(1,2,3) is the unique six-edge graph that edge-decomposes all five Platonic solids.

Topics

graph decomposition, Platonic solids, tree graphs, polyhedral skeletons, dance construction

Domains

graph theory, combinatorics, polyhedral geometry, tree decompositions, dance, performance art, generative design, sculptural construction

Methods

case analysis, degree-counting argument, edge decomposition, geometric embedding

Media

PVC pipe, rope, dancers, stage lighting

Source status

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