# List of convex regular-faced polyhedra

This is a list of convex, regular-faced polyhedra. Since there are an infinite number of prisms and antiprisms, only a few have been listed.
| Name | Platonic? | Archimedean? | Prism? | Antiprism? | Pyramid? | Dipyramid? | Deltahedron? | Faces (3) | Faces (4) | Faces (5) | Faces (6) | Faces (8) | Faces (10) | Faces (12) | Faces (n) | Edges | Vertices |
| Tetrahedron | Yes | No | No | No | Yes | No | Yes | 4 | 0 | 0 | 0 | 0 | 0 | 0 | - | 6 | 4 |
| Cube | Yes | No | Yes | No | No | No | No | 0 | 6 | 0 | 0 | 0 | 0 | 0 | - | 12 | 8 |
| Octahedron | Yes | No | No | Yes | No | Yes | Yes | 8 | 0 | 0 | 0 | 0 | 0 | 0 | - | 12 | 6 |
| Dodecahedron | Yes | No | No | No | No | No | No | 0 | 0 | 12 | 0 | 0 | 0 | 0 | - | 30 | 20 |
| Icosahedron | Yes | No | No | No | No | No | Yes | 20 | 0 | 0 | 0 | 0 | 0 | 0 | - | 30 | 12 |
| Truncated tetrahedron | No | Yes | No | No | No | No | No | 4 | 0 | 0 | 4 | 0 | 0 | 0 | - | 18 | 12 |
| Cuboctahedron | No | Yes | No | No | No | No | No | 8 | 6 | 0 | 0 | 0 | 0 | 0 | - | 24 | 12 |
| Truncated cube | No | Yes | No | No | No | No | No | 8 | 0 | 0 | 0 | 6 | 0 | 0 | - | 36 | 24 |
| Truncated octahedron | No | Yes | No | No | No | No | No | 0 | 6 | 0 | 8 | 0 | 0 | 0 | - | 36 | 24 |
| Rhombicuboctahedron | No | Yes | No | No | No | No | No | 8 | 18 | 0 | 0 | 0 | 0 | 0 | - | 48 | 24 |
| Great rhombicuboctahedron | No | Yes | No | No | No | No | No | 0 | 12 | 0 | 8 | 6 | 0 | 0 | - | 72 | 48 |
| Snub cube | No | Yes | No | No | No | No | No | 32 | 6 | 0 | 0 | 0 | 0 | 0 | - | 60 | 24 |
| Icosidodecahedron | No | Yes | No | No | No | No | No | 20 | 0 | 12 | 0 | 0 | 0 | 0 | - | 60 | 30 |
| Truncated dodecahedron | No | Yes | No | No | No | No | No | 20 | 0 | 0 | 0 | 0 | 12 | 0 | - | 90 | 60 |
| Truncated icosahedron | No | Yes | No | No | No | No | No | 0 | 0 | 12 | 20 | 0 | 0 | 0 | - | 90 | 60 |
| Rhombicosidodecahedron | No | Yes | No | No | No | No | No | 20 | 30 | 12 | 0 | 0 | 0 | 0 | - | 120 | 60 |
| Great rhombicosidodecahedron | No | Yes | No | No | No | No | No | 0 | 30 | 0 | 20 | 0 | 12 | 0 | - | 180 | 120 |
| Snub dodecahedron | No | Yes | No | No | No | No | No | 80 | 0 | 12 | 0 | 0 | 0 | 0 | - | 150 | 60 |
| Triangular prism | No | Yes | Yes | No | No | No | No | 2 | 3 | 0 | 0 | 0 | 0 | 0 | - | 9 | 6 |
| Pentagonal prism | No | Yes | Yes | No | No | No | No | 0 | 5 | 2 | 0 | 0 | 0 | 0 | - | 15 | 10 |
| Octagonal prism | No | Yes | Yes | No | No | No | No | 0 | 8 | 0 | 0 | 2 | 0 | 0 | - | 24 | 16 |
| n-prism | No | Yes | Yes | No | No | No | No | - | n | - | - | - | - | - | 2 | 3n | 2n |
| Square antiprism | No | Yes | No | Yes | No | No | No | 8 | 2 | 0 | 0 | 0 | 0 | 0 | - | 16 | 8 |
| Pentagonal antiprism | No | Yes | No | Yes | No | No | No | 10 | 0 | 2 | 0 | 0 | 0 | 0 | - | 20 | 10 |
| n-antiprism | No | Yes | No | Yes | No | No | No | 2n | - | - | - | - | - | - | 2 | 4n | 2n |
| Square pyramid | No | No | No | No | Yes | No | No | 4 | 1 | 0 | 0 | 0 | 0 | 0 | - | 8 | 5 |
| Pentagonal pyramid | No | No | No | No | Yes | No | No | 5 | 0 | 1 | 0 | 0 | 0 | 0 | - | 10 | 6 |
| Triangular cupola | No | No | No | No | No | No | No | 4 | 3 | 0 | 1 | 0 | 0 | 0 | - | 15 | 9 |
| Square cupola | No | No | No | No | No | No | No | 4 | 5 | 0 | 0 | 1 | 0 | 0 | - | 20 | 12 |
| Pentagonal cupola | No | No | No | No | No | No | No | 5 | 5 | 1 | 0 | 0 | 1 | 0 | - | 25 | 15 |
| Pentagonal rotunda | No | No | No | No | No | No | No | 10 | 0 | 6 | 0 | 0 | 1 | 0 | - | 35 | 20 |
| Gyroelongated pentagonal pyramid | No | No | No | No | No | No | No |
| Triangular dipyramid | No | No | No | No | No | Yes | Yes |
| Pentagonal dipyramid | No | No | No | No | No | Yes | Yes |
| Gyroelongated square dipyramid | No | No | No | No | No | No | Yes |
| Elongated square cupola | No | No | No | No | No | No | No |
| Elongated square gyrobicupola | No | No | No | No | No | No | No | 8 | 18 | 0 | 0 | 0 | 0 | 0 | - | 48 | 24 |
| Triaugmented triangular prism | No | No | No | No | No | No | Yes |
| Metabidiminished icosahedron | No | No | No | No | No | No | No |
| Tridiminished icosahedron | No | No | No | No | No | No | No |
| Diminished rhombicosidodecahedron | No | No | No | No | No | No | No |
| Parabidiminished rhombicosidodecahedron | No | No | No | No | No | No | No |
| Metabidiminished rhombicosidodecahedron | No | No | No | No | No | No | No |
| Tridiminished rhombicosidodecahedron | No | No | No | No | No | No | No |
| Snub disphenoid | No | No | No | No | No | No | Yes |
| Snub square antiprism | No | No | No | No | No | No | No |
| Sphenocorona | No | No | No | No | No | No | No |
| Sphenomegacorona | No | No | No | No | No | No | No |
| Hebesphenomegacorona | No | No | No | No | No | No | No |
| Disphenocingulum | No | No | No | No | No | No | No |
| Bilunabirotunda | No | No | No | No | No | No | No |
| Triangular hebesphenorotunda | No | No | No | No | No | No | No |