Tetraswirlic hexacontatetrachoron
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| Tetraswirlic hexacontatetrachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 64 30-vertex heptadecahedra |
| Faces | 192 isosceles triangles, 96 rhombi, 192 mirror-symmetric hexagons, 64 triangular-symmetric dodecagons |
| Edges | 192+384+384 |
| Vertices | 96+192+192 |
| Vertex figure | 192+192 phyllic disphenoids, 96 rhombic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hexadecafold tetraswirlchoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A3●I2(16), order 384 |
| Convex | Yes |
| Nature | Tame |
The tetraswirlic hexacontatetrachoron, also known as the tetswirl 64, is an isochoric polychoron with 64 identical cells. It is the eighth in an infinite family of isochoric tetrahedral swirlchora.
Each cell of this polychoron has chiral triangular prismatic symmetry, with 2 triangular-symmetric dodecaagons, 6 mirror-symmetric hexagons, 3 rhombi, and 6 isosceles triangles for faces.