Steinhaus Dodecahedron

A dodecahedron (from Greek δώδεκα — twelve and εδρον — face) — is one of five regular regular polyhedra. It has 12 faces, which are regular pentagons, 30 edges, 20 vertices.

The idea of a model is proposed in Hugo Steinhaus' book ”Mathematical snapshots” (first edition in Russian: Moscow-Leningrad, 1949).

A model can be manufactured of thick cardboard. Corrugated cardboard, for example, that boxes for office paper are made of, would suffice. A rubber band — like the one a roll of money is binded with — is also needed. In this case the dodecahedron's edge should be around 5 centimeters long.

The layout of the dodecahedron half can be printed on a sheet of regular paper to mark the shape for cutting from cardboard.