Dodecafold icosidodecaswirlchoron
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| Dodecafold icosidodecaswirlchoron | |
|---|---|
| File:Dodecafold icosidodecaswirlchoron.png | |
| Rank | 4 |
| Type | Isogonal |
| Elements | |
| Cells | 720+720+720 phyllic disphenoids, 240 triangular gyroprisms |
| Faces | 1440+1440+1440 scalene triangles, 720 isosceles triangles, 240 triangles |
| Edges | 360+720+720+720+720 |
| Vertices | 360 |
| Vertex figure | Polyhedron with 4 tetragons and 24 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rhombitriacontaswirlic triacosihexecontachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(12), order 1440 |
| Convex | Yes |
| Nature | Tame |
The dodecafold icosidodecaswirlchoron is an isogonal polychoron with 240 triangular gyroprisms, 2160 phyllic disphenoids of three kinds, and 360 vertices. 4 triangular gyroprisms and 24 phyllic disphenoids join at each vertex. It is the third in an infinite family of isogonal icosidodecahedral swirlchora.