Platonic and Archimedean Solids

Work in progress. Image credit: @ Elena Willis

A Platonic solids is three-dimensional regular, convex polyhedron. There are five of them : the tetrahedron , the cube , the octahedron , the dodecahedron , and the icosahedron .

The five platonic solids. Image credit: © Rémi Coulon
The five platonic solids. Image credit: © Rémi Coulon

A Archimedean solid a convex semi-regular polyhedron (i.e. its faces are regular polygons and its symmetry group acts transitively on its vertex set) which is not a platonic solid. There are 13 of them (15 if the mirror images of two enantiomorphs are counted separately).

All the solids on the pictures were made by Elena Willis during an internship under my supervision at the math department.

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