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