Tetraswirlic heptacontadichoron
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Tetraswirlic heptacontadichoron | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 72 18-vertex tetradecahedra |
Faces | 216 triangles, 216 rhombi, 72 triangular-symmetric enneagons |
Edges | 72+216+216 |
Vertices | 72+216 |
Vertex figure | 216 phyllic disphenoids, 72 triangular gyrotegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Octadecafold tetraswirlchoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A3●I2(18), order 432 |
Convex | Yes |
Nature | Tame |
The tetraswirlic heptacontadichoron, also known as the tetswirl 72, is an isochoric polychoron with 72 identical cells. It is the ninth in an infinite family of isochoric tetrahedral swirlchora.
Each cell of this polychoron has chiral triangular prismatic symmetry, with 2 triangular-symmetric enneagons, 6 rhombi, and 6 trianlges for faces.