Pentagonal duoantitegum
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| Pentagonal duoantitegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Notation | |
| Coxeter diagram | p10o2p10o |
| Elements | |
| Cells | 50 elongated tetragonal disphenoids |
| Faces | 100 isosceles triangles, 100 rhombi |
| Edges | 20+200 |
| Vertices | 20+50 |
| Vertex figure | 50 tetragonal disphenoids, 20 pentagonal antitegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Pentagonal duoantiprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (I2(10)≀S2)/2, order 400 |
| Convex | Yes |
| Nature | Tame |
The pentagonal duoantitegum, also known as the pentagonal-pentagonal duoantitegum, the 5 duoantitegum or the 5-5 duoantitegum, is a convex isochoric polychoron and member of the duoantitegum family with 50 elongated tetragonal disphenoids as cells. Together with its dual, it is the first in an infinite family of pentagonal antiprismatic swirlchora. It is the second in an infinite family of isochoric pentagonal hosohedral swirlchora.
Each cell of this polychoron has digonal antiprismatic symmetry, with 4 rhombi and 4 isosceles triangles for faces.
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