Hollow great dodecahemidodecahedral cupoliprism
The hollow great dodecahemidodecahedral cupoliprism or hog dhidicup is a scaliform polychoron that consists of 12 pentagrammic antiprisms and 24 pentagrammic cupolae. Each vertex is met by 2 pentagrammic antiprisms and 6 pentagrammic cupolae. It can be formed by taking a great dodecahemidodecahedral prism, connecting corresponding pentagrams of both bases by pentagrammic antiprisms, connecting pentagrams to decagrams of the other base by pentagrammic cupolae, and removing all other cells.
| Hollow great dodecahemidodecahedral cupoliprism | |
|---|---|
| Rank | 4 |
| Type | Scaliform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Hog dhidicup |
| Coxeter diagram | xo5/3xx5/3ox5/2*a&#x |
| Elements | |
| Cells | 12 pentagrammic antiprisms, 24 pentagrammic cupolae |
| Faces | 120 triangles, 60 squares, 24 pentagrams, 12 decagrams |
| Edges | 120+120 |
| Vertices | 60 |
| Vertex figure | Faceted rectangular frustum |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Iddip |
| Regiment | Hog dhidicup |
| Conjugate | No real conjugate |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H3×A1, order 240 |
| Convex | No |
| Nature | Tame |
External linksEdit
- Klitzing, Richard. "hog dhidicup".
- Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S5).