Set of 13 semi-regular convex polyhedra composed of regular polygons meeting in identical vertices, excluding the 5 Platonic solids (which are composed of only one type of polygon) and excluding the prisms and antiprisms.
Each shape can be constructed by starting with one of the Platonic solids and truncating it's corners or edges in various ways.
List of Archimedean solids:
| Name | Faces | Edges | Vertices | Image |
|---|---|---|---|---|
| Truncated tetrahedron | 4 triangles 4 hexagons |
18 | 12 | ![]() |
| Cuboctahedron | 8 triangles 6 squares |
24 | 12 | ![]() |
| Truncated cube | 8 triangles 6 octagons |
36 | 24 | ![]() |
| Truncated octahedron | 6 squares 8 hexagons |
36 | 24 | ![]() |
| Rhombicuboctahedron | 8 triangles 18 squares |
48 | 24 | ![]() |
| Truncated cuboctahedron | 12 squres 8 hexagons 6 octagons |
72 | 48 | ![]() |
| Snub cube | 32 triangles 6 squares |
60 | 24 | ![]() |
| Icosidodecahedron | 20 triangles 12 pentagons |
60 | 30 | ![]() |
| Truncated dodecahedron | 20 triangles 12 decagons |
90 | 60 | ![]() |
| Truncated icosahedron | 12 pentagons 20 hexagons |
90 | 60 | ![]() |
| Rhombicosidodecahedron | 20 triangles 30 squares 12 pentagons |
120 | 60 | ![]() |
| Truncated icosidodecahedron | 30 squares 20 hexagons 12 decagons |
180 | 120 | ![]() |
| Snub dodecahedron | 80 triangles 12 pentagons |
150 | 60 | ![]() |
Articles:
- Archimedean solid on Wikipedia
- Archimedean Solid on Wolfram MathWorld
- Archimedean Polyhedra by George Hart
Videos:
- Platonic and Archimedean solids by Henry Segerman












