Tetraswirlic triacontadichoron
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| Tetraswirlic triacontadichoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 32 edge-alternate laterostellated hexagonal prisms |
| Faces | 96 kites, 48 rectangular-symmetric hexagons, 32 triambi |
| Edges | 96+192 |
| Vertices | 48+96 |
| Vertex figure | 96 phyllic disphenoids, 48 rhombic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Octafold tetraswirlchoron |
| Abstract & topological properties | |
| Flag count | 3456 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A3●I2(8), order 192 |
| Flag orbits | 18 |
| Convex | Yes |
| Nature | Tame |
The tetraswirlic triacontadichoron, also known as the tetswirl 32, is an isochoric polychoron with 96 edge-alternate laterostellated hexagonal prisms as cells. It is the fourth in an infinite family of isochoric tetrahedral swirlchora.
Each cell of this polychoron has chiral triangular prismatic symmetry, with 2 triambi, 3 rectangular-symmetric hexagons, and 6 kites for faces.
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Edge-alternate laterostellated hexagonal prism (32): Octafold tetraswirlchoron
- Triambus (32): Octafold tetraswirlchoron
- Rectangular-symmetric hexagon (48): Octafold ambotetraswirlchoron
- Kite (96): Octafold truncatotetraswirlchoron