Pentagonal triswirltegum
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| Pentagonal triswirltegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 75 12-vertex decahedra |
| Faces | 150 isosceles triangles, 150 rhombi, 75 rectangular-symmetric hexagons |
| Edges | 30+150+300 |
| Vertices | 30+150 |
| Vertex figure | 150 phyllic disphenoids, 30 pentagonal gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Pentagonal triswirlprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (I2(15)≀S2)+/3, order 300 |
| Convex | Yes |
| Nature | Tame |
The pentagonal triswirltegum is a convex isochoric polychoron and member of the duoprismatic swirltegum family with 75 identical cells. It is the third in an infinite family of isochoric pentagonal hosohedral swirlchora.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric hexagons, 4 rhombi, and 4 isosceles triangles for faces.