Great swirlprism
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| Great swirlprism | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gisp |
| Elements | |
| Cells | 120 pentagrammic retroprisms |
| Faces | 120 pentagrams, 600 triangles |
| Edges | 120+600 |
| Vertices | 120 |
| Vertex figure | Pentagonal retrogyrotegum, edge lengths (√5–1)/2 and 1 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 3600 |
| Level of complexity | 164 |
| Related polytopes | |
| Army | Ex |
| Regiment | Gishi |
| Dual | Pentagonal-retrogyroprismatic hecatonicosachoron |
| Conjugate | Small swirlprism |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(10), order 1200 |
| Convex | No |
| Nature | Tame |
The great swirlprism or gisp, also known as the pentagrammic-retroprismatic hecatonicosachoron, is a nonconvex uniform polychoron. It consists of 120 pentagrammic retroprisms. It is a member of an infinite family of isogonal great dodecahedral swirlchora and also a member of an infinite family of isochoric great dodecahedral swirlchora, using a decagram for each of its 12 rings.
Gallery[edit | edit source]
External links[edit | edit source]
- Bowers, Jonathan. "Category 20: Miscellaneous" (#976).
- Klitzing, Richard. "gisp".