Pentagrammic rotunda
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| Pentagrammic rotunda | |
|---|---|
 | |
| Rank | 3 |
| Type | Orbiform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sisro |
| Elements | |
| Faces | 5+5 triangles, 1+5 pentagrams, 1 decagram |
| Edges | 5+5+5+10+10 |
| Vertices | 5+5+10 |
| Vertex figures | 5+5 rectangles |
| 10 scalene triangles | |
| Measures (edge length 1) | |
| Circumradius | |
| Volume | |
| Number of external pieces | 62 |
| Related polytopes | |
| Conjugate | Pentagonal rotunda |
| Convex hull | Irregular pentagonal orthobicupola |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H2×I, order 10 |
| Convex | No |
| Nature | Tame |
The pentagrammic rotunda is an orbiform polyhedron. It consists of 5+5 triangles, 1+5 pentagrams, and 1 decagram.
It can be constructed by cutting a great icosidodecahedron in half along one of its decagrammic circles of edges. This produces two pentagrammic rotundas with the bases in opposite orientation.
External links[edit | edit source]
- Bowers, Jonathan. "Batch 3: Id, Did, and Gid Facetings" (#4 under gid).
- Klitzing, Richard. "id+gid Ridge-Facetings".