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.

cube
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.

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