Great supersemicupola
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| Great supersemicupola | |
|---|---|
 | |
| Rank | 3 |
| Type | Acrohedron, orbiform |
| Space | Spherical |
| Elements | |
| Faces | 14 triangles, 7 heptagrams, 1 great heptagram |
| Edges | 49 |
| Vertices | 28 |
| Related polytopes | |
| Conjugate | Small supersemicupola |
| Abstract & topological properties | |
| Euler characteristic | 1 |
| Orientable | No |
| Genus | 1 |
| Properties | |
| Symmetry | I2(7)×I, order 14 |
| Convex | No |
| Nature | Tame |
The great supersemicupola is the first known example of a 7/2-7/2-3 acrohedron, i.e. a polyhedron with all regular faces that has two heptagrams and a triangle meeting at a vertex. It was discovered by Mason Green in 2005 along with the 7-7-3 small supersemicupola. Most acrons containing heptagons have no known acrohedron, so the existence of this acrohedron is rather unusual.
External links[edit | edit source]
- Jim McNeill. "7-7-3."