Small supersemicupola
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| Small supersemicupola | |
|---|---|
 | |
| Rank | 3 |
| Type | Acrohedron, orbiform |
| Elements | |
| Faces | 7+7 triangles, 7 heptagons, 1 heptagram |
| Edges | 7+7+7+14+14 |
| Vertices | 7+7+7+7 |
| Related polytopes | |
| Conjugate | Great supersemicupola |
| Abstract & topological properties | |
| Flag count | 196 |
| Euler characteristic | 1 |
| Orientable | No |
| Genus | 1 |
| Properties | |
| Symmetry | I2(7)×I, order 14 |
| Flag orbits | 14 |
| Convex | No |
| Nature | Tame |
The small supersemicupola is the first known example of a 7-7-3 acrohedron, i.e. a polyhedron with all regular faces that has two heptagons and a triangle meeting at a vertex. It was discovered by Mason Green in 2005 along with the great supersemicupola, a 7/2-7/2-3 acrohedron. Most acrons containing heptagons have no known acrohedron, so the existence of a 7-7-3 acrohedron is rather unusual.
As the name suggests, the small supersemicupola bears similarities to a heptagrammic semicupola (cuploid). Like the semicupolae, it is non-orientable.
The shape is part of a larger family of regular-faced polyhedra formed using Green's rules.
External links[edit | edit source]
- Jim McNeill. "7-7-3."
- Jim McNeill. "n-n-3 acrohedra."
- Green, Mason. "Geometry". Archived from the original on 2008-10-14.