The hypercupolas are a family of convex nonuniform polychora (here four-dimensional figures), analogous to the cupolas. Each one's bases are a Platonic solid and its expansion.
| Tetrahedral cupola | Cubic cupola | Octahedral cupola | Dodecahedral cupola | Icosahedral cupola | ||||||
| Vertices | 16 | 32 | 30 | 80 | 72 | |||||
| Edges | 42 | 84 | 84 | 210 | 210 | |||||
| Faces | 42 | 24 triangles 18 squares |
80 | 32 triangles 48 squares |
82 | 40 triangles 42 squares |
194 | 80 triangles 90 squares 24 pentagons |
202 | 100 triangles 90 squares 12 pentagons |
| Cells | 16 | 1 tetrahedron 4 triangular prisms 6 triangular prisms 4 triangular pyramids 1 cuboctahedron |
28 | 1 cube 6 square prisms 12 triangular prisms 8 triangular pyramids 1 rhombicuboctahedron |
28 | 1 octahedron 8 triangular prisms 12 triangular prisms 6 square pyramids 1 rhombicuboctahedron |
64 | 1 dodecahedron 12 pentagonal prisms 30 triangular prisms 20 triangular pyramids 1 rhombicosidodecahedron |
64 | 1 icosahedron 20 triangular prisms 30 triangular prisms 12 pentagonal pyramids 1 rhombicosidodecahedron |
Read more about this topic: Cupola (geometry)