Platonic Solids
of
Faces
of
Edges
of
Vertices
Archimedean Solids
6 hexagons
6 squares
8 hexagons
6 octagons
18 squares
8 hexagons
6 octagons
6 squares
6 squares
(buckyball - soccerball)
12 pentagons
20 hexagons 12 decagons
Platonic Solids | Types of Faces | # of Edges | # of Vertices | ||
| Tetrahedron | | 4 triangles | 6 | 4 | |
| Hexahedron | | 6 squares | 12 | 8 | |
| Octahedron | | 8 | 8 triangles | 12 | 6 |
| Dodecahedron | | 12 | 12 pentagons | 30 | 20 |
| Icosahedron | | 20 | 20 triangles | 30 | 12 |
Archimedean Solids | |||||
| Truncated Tetrahedron | | 8 | 4 triangles 6 hexagons | 18 | 12 |
| Cuboctahedron | | 14 | 8 triangles 6 squares | 24 | 12 |
| Truncated Octahedron | | 14 | 6 squares 8 hexagons | 36 | 24 |
| Truncated Hexahedron (Cube) | | 14 | 8 triangles 6 octagons | 36 | 24 |
| Rhombicuboctahedron | | 26 | 8 triangles 18 squares | 48 | 24 |
| Truncated cuboctahedron | | 26 | 12 squares 8 hexagons 6 octagons | 72 | 48 |
| Snub Cube, Left-Handed | | 38 | 32 triangles 6 squares | 60 | 24 |
| Snub Cube, Right-Handed | | 38 | 32 triangles 6 squares | 60 | 24 |
| Icosidodecahedron | | 32 | 20 triangles 12 pentagons | 60 | 30 |
| Truncated Icosahedron (buckyball - soccerball) | | 32 | 12 pentagons 20 hexagons | 90 | 60 |
| Truncated Dodecahedron | | 32 | 20 triangles 12 decagons | 90 | 60 |
| Rhombicosidocehedron | | 62 | 20 triangles 30 squares 12 pentagons | 120 | 60 |
| Truncated Icosidodecahedron | | 62 | 30 squares 20 hexagons 12 decagons | 180 | 120 |
| Snub Dodecahedron, Left-Handed | | 92 | 80 triangles 12 pentagons | 150 | 150 |
| Snub Dodecahedron, Right-Handed | | 92 | 80 triangles 12 pentagons | 150 | 150 |