Small transitional pentaantitegmatoswirlic triacosichoron
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Small transitional pentaantitegmatoswirlic triacosichoron | |
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File:Small transitional pentaantitegmatoswirlic triacosichoron.png | |
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 300 12-vertex dodecahedra |
Faces | 300+300+600 isosceles triangles, 300 rhombi, 300 mirror-symmetric hexagons |
Edges | 60+300+600+600+600 |
Vertices | 60+300+300 |
Vertex figure | 300 phyllic disphenoids, 300 triangular gyrotegums, 60 pentagonal gyrotegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Small transitional triacontafold pentaantiprismatoswirlchoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | ((I2(10)×A1)/2)●I2(30), order 600 |
Convex | Yes |
Nature | Tame |
The small transitional pentaantitegmatoswirlic triacosichoron is an isochoric polychoron with 108 identical cells. It is the third in an infinite family of isochoric pentagonal antitegmatic swirlchora, the others being the small pentaantitegmatoswirlic triacosichoron, great pentaantitegmatoswirlic triacosichoron and great transitional pentaantitegmatoswirlic triacosichoron.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric hexagons, 2 rhombi, and 8 isosceles triangles for faces.