Triangular tetraswirltegum
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| Triangular tetraswirltegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 36 16-vertex dodecahedra |
| Faces | 72 isosceles triangles, 36+72 rhombi, 36 rectangular-symmetric octagons |
| Edges | 24+144+144 |
| Vertices | 24+36+72 |
| Vertex figure | 72 phyllic disphenoids, 36 rhombic disphenoids, 24 triangular gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triangular tetraswirlprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (I2(12)≀S2)+/4, order 144 |
| Convex | Yes |
| Nature | Tame |
The triangular tetraswirltegum is a convex isochoric polychoron and member of the duoprismatic swirltegum with 36 identical cells. It is the fourth in an infinite family of isochoric triangular hosohedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric octagons, 6 rhombi, and 4 isosceles triangles for faces.