# Archimedean Solid

## Archimedean Solid

Convex polyhedron whose faces are composed of at least two different types of regular convex polygons.

The condition of being composed of two different types of polygons distinguishes Archimedean solids from Platonic solids.

 Above An Archimedean solid composed of equilateral triangles and squares. Net of the solid on the left.

Archimedean solids are also called semi-regular convex polyhedra.
There are 13 Archimedean solids:

 Name Number of faces Characteristics of the faces Truncated tetrahedron 8 4 equilateral triangles and 4 regular hexagons Cuboctahedron 14 6 squares and 8 equilateral triangles Truncated cube 14 6 regular octagons and 8 equilateral triangles Truncated octahedron 14 6 squares and 8 regular hexagons Truncated dodecahedron 32 20 equilateral triangles and 12 regular decagons Truncated icosahedron 32 12 regular pentagons and 20 regular hexagons Snub cube 38 32 equilateral triangles and 6 squares Icosidodecahedron 32 20 equilateral triangles and 12 regular pentagons Snub dodecahedron 92 80 equilateral triangles and 12 regular pentagons Small rhombicuboctahedron 26 8 equilateral triangles and 18 squares Truncated cuboctahedron 26 12 squares, 8 regular hexagons and 6 regular octagons Small Rhombicosidodecahedron 62 20 equilateral triangles, 30 squares and 12 regular pentagons Truncated icosidodecahedron 62 30 squares, 20 regular hexagons and 12 regular decagons

### Historical note

The Archimedean solids were named after the Greek mathematician Archimedes, who described them in one of his works (now lost). Through their study of pure forms, artists and mathematicians of the Renaissance rediscovered the Archimedean solids. This study was completed around 1619 by Johannes Kepler.