Triangular-pentagonal triswirltegum
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| Triangular-pentagonal triswirltegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 45 12-vertex decahedra |
| Faces | 45+45 isosceles triangles, 45+45 kites, 45 mirror-symmetric hexagons |
| Edges | 9+15+90+90+90 |
| Vertices | 9+15+45+45 |
| Vertex figure | 45+45 phyllic disphenoids, 15 triangular gyrotegums, 9 pentagonal gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triangular-pentagonal triswirlprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (I2(9)×I2(15))+/3, order 90 |
| Convex | Yes |
| Nature | Tame |
The triangular-pentagonal triswirltegum is a convex isochoric polychoron and member of the duoprismatic swirltegum family with 45 identical cells.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric hexagons, 4 kites, and 4 isosceles triangles for faces.