Rhombitriacontaswirlic triacosihexecontachoron
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Rhombitriacontaswirlic triacosihexecontachoron | |
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Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 360 28-vertex octadecahedra |
Faces | 720 isosceles triangles, 360 rhombi, 720+720 kites, 720 mirror-symmetric enneagons |
Edges | 240+720+1440+1440+1440 |
Vertices | 240+720+720+720 |
Vertex figure | 720+720+720 phyllic disphenoids, 240 triangular gyrotegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Dodecafold icosidodecaswirlchoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H3●I2(12), order 1440 |
Convex | Yes |
Nature | Tame |
The rhombitriacontaswirlic triacosihexecontachoron is an isochoric polychoron with 360 identical cells. It is the third in an infinite family of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has [[chiral digonal prismatic symmetry], with 4 mirror-symmetric enneagons, 2 rhombi, 8 kites, and 4 isosceles triangles for faces.