Pentagonal duotruncatoaltertegum
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| Pentagonal duotruncatoaltertegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 100 monotruncated kite pyramids |
| Faces | 100 scalene triangles, 50 isosceles triangles, 100 kites, 50 mirror-symmetric pentagons |
| Edges | 10+20+50+100+100 |
| Vertices | 10+20+25+25 |
| Vertex figure | 25 tetragonal disphenoids, 25 digonal scalenohedra, 20 semibisected pentagonal antitegums, 10 pentagonal tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Pentagonal duotruncatoalterprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H2≀S2, order 200 |
| Convex | Yes |
| Nature | Tame |
The pentagonal duotruncatoaltertegum is a convex isochoric polychoron and a member of the duotruncatoaltertegum family with 100 monotruncated kite pyramids as cells.
Each cell of this polychoron has mirror symmetry, with 1 mirror-symmetric pentagon, 2 kites, 1 isosceles triangle, and 2 scalene triangles for faces.