Triantitegmatoswirlic heptacontadichoron
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Triantitegmatoswirlic heptacontadichoron | |
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File:Triantitegmatoswirlic heptacontadichoron.png | |
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 72 18-vertex dodecahedra |
Faces | 144 irregular tetragons, 72 kites, 72 isosceles trapezoids, 72+72 mirror-symmetric hexagons |
Edges | 24+72+144+144+144+144 |
Vertices | 24+72+72+144 |
Vertex figure | 144 irregular tetrahedra, 72+72 phyllic disphenoids, 24 triangular gyrotegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Dodecafold triantiprismatoswirlchoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | ((G2×A1)/2)●I2(12), order 144 |
Convex | Yes |
Nature | Tame |
The triantitegmatoswirlic heptacontadichoron is an isochoric polychoron with 72 identical cells. It is the second in an infinite family of isochoric triangular antitegmatic swirlchora.
Each cell of this polychoron has bilateral symmetry, with 4 mirror-symmetric hexagons, 2 isosceles trapezoids, 2 kites, and 4 irregular tetragons for faces.