Pentagonal hexecontahedral tegum
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| Pentagonal hexecontahedral tegum | |
|---|---|
| Rank | 4 |
| Type | Uniform dual |
| Space | Spherical |
| Notation | |
| Coxeter diagram | m2p5p3p |
| Elements | |
| Cells | 120 irregular pentagonal pyramids |
| Faces | 60+120+120 scalene triangles, 60 irregular pentagons |
| Edges | 24+30+40+60+60+120 |
| Vertices | 2+12+20+60 |
| Vertex figure | 2 pentagonal hexecontahedra, 12 pentagonal tegums, 20+60 triangular tegums) |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Snub dodecahedral prism |
| Conjugates | Great pentagonal hexecontahedral tegum, great inverted hexecontahedral tegum, great pentagrammic hexecontahedral tegum |
| Abstract properties | |
| Euler characteristic | 0 |
| Topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H3+×A1, order 120 |
| Convex | Yes |
| Nature | Tame |
The pentagonal hexecontahedral tegum, also called the pentagonal hexecontahedral bipyramid, is a convex isochoric polychoron with 120 irregular pentagonal pyramids as cells. As the name suggests, it can be constructed as a tegum based on the pentagonal hexecontahedron.
In the variant obtained as the dual of the uniform snub dodecahedral prism, if the short edges of the pentagonal hexecontahedron have length 1, its height is approximately 30.17765.