Great transitional tetraantitegmatoswirlic hecatonicosoctachoron
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Great transitional tetraantitegmatoswirlic hecatonicosoctachoron | |
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File:Great transitional tetraantitegmatoswirlic hecatonicosoctachoron.png | |
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 128 15-vertex dodecahedra |
Faces | 256 scalene triangles, 128 isosceles triangles, 128 kites, 128+128 mirror-symmetric hexagons |
Edges | 32+256+256+256+256 |
Vertices | 32+128+128+128 |
Vertex figure | 128 phyllic disphenoids, 128 rhombic disphenoids, 128 bilaterally-symmetric wedges, 32 square gyrotegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Great transitional hexadecafold tetraantiprismatoswirlchoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | ((I2(8)×A1)/2)●I2(16), order 256 |
Convex | Yes |
Nature | Tame |
The great transitional tetraantitegmatoswirlic hecatonicosoctachoron is an isochoric polychoron with 128 identical cells. It is the second in an infinite family of isochoric square antitegmatic swirlchora, the others being the small tetraantitegmatoswirlic hecatonicosoctachoron, great tetraantitegmatoswirlic hecatonicosoctachoron and small transitional tetraantitegmatoswirlic hecatonicosoctachoron.
Each cell of this polychoron has bilateral symmetry, with 4 mirror-symmetric hexagons, 2 kites, 2 isosceles triangles, and 4 scalene triangles for faces.