Polyhedral Models in Group Theory and Graph Theory

Year: 2000 Authors: Raymond F. Tennant

Core claim

Planar graphs and polyhedral models provide a useful visual bridge for understanding abstract algebra, symmetry, and Euler’s Formula.

Topics

polyhedral models, planar graphs, symmetry groups, Euler’s Formula, Sylow subgroups

Domains

group theory, graph theory, topology, abstract algebra, visualization, geometric modeling

Methods

planar projection, dual graph construction, orbit-stabilizer counting, model-based proof

Media

Platonic solids, Archimedian solids, paper figures, three-dimensional models

Source status

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