Pentagonal tetraswirltegum
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| Pentagonal tetraswirltegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 100 16-vertex dodecahedra |
| Faces | 200 isosceles triangles, 100+200 rhombi, 100 rectangular-symmetric octagons |
| Edges | 40+400+400 |
| Vertices | 40+100+200 |
| Vertex figure | 200 phyllic disphenoids, 100 rhombic disphenoids, 40 pentagonal gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Pentagonal tetraswirlprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (I2(20)≀S2)+/4, order 400 |
| Convex | Yes |
| Nature | Tame |
The pentagonal tetraswirltegum is a convex isochoric polychoron and member of the duoprismatic swirltegum family with 100 identical cells. It is the fourth in an infinite family of isochoric pentagonal 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.