A Physical Proof for Five and Only Five Regular Solids

Year: 2005 Authors: Robert McDermott

Core claim

By assembling regular polygons into corners, cylinders, and nets, the paper physically demonstrates that there are five and only five Platonic solids.

Topics

Platonic solids, physical proof, polyhedron nets, tactile geometry

Domains

geometry, polyhedra, regular polygons, solid angles, educational design, visual art, craft construction, hands-on modeling

Methods

paper-and-tape model building, polygon corner assembly, net folding, classroom demonstration

Media

equilateral triangles, squares, regular pentagons, regular hexagons, adhesive tape

Source status

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