Hexecontafold dodecaswirlchoron
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| Hexecontafold dodecaswirlchoron | |
|---|---|
| Rank | 4 |
| Type | Isogonal |
| Elements | |
| Cells | 1800 rhombic disphenoids, 720 pentagonal gyroprisms |
| Faces | 7200 scalene triangles, 720 pentagons |
| Edges | 1200+1800+3600 |
| Vertices | 1200 |
| Vertex figure | Edge-vertical bisected triangular gyrotegum |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Icosaswirlic chiliadiacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(60), order 7200 |
| Convex | Yes |
| Nature | Tame |
The hexecontafold dodecaswirlchoron is an isogonal polychoron with 720 pentagonal gyroprisms, 1800 rhombic disphenoids, and 1200 vertices. 6 pentagonal gyroprisms and 6 rhombic disphenoids join at each vertex. It is the second in an infinite family of isogonal dodecahedral swirlchora.
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Pentagonal gyroprism (720): Hexecontafold icosaswirlchoron
- Pentagon (720): Hexecontafold icosaswirlchoron
- Edge (1200): Hexecontafold dodecaswirlchoron