Decahedral hecatonicosachoron
Jump to navigation
Jump to search
| Decahedral hecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 120 10-vertex decahedra |
| Faces | 120+120+120 scalene triangles, 60 isosceles triangles, 60 kites, 60 mirror-symmetric pentagons, 60 mirror-symmetric hexagons |
| Edges | 30+40+40+120+120+120+120+120 |
| Vertices | 10+20+20+60+120 |
| Vertex figure | 120 irregular tetrahedra, 60 phyllic disphenoids, 20 triangular gyrotegums, 20 gyrostellated joined triangular prisms, 10 tetartoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Prismatic transitional biomnisnub decachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (A4×2)+, order 120 |
| Convex | Yes |
| Nature | Tame |
The decahedral hecatonicosachoron is a convex isochoric polychoron with 120 identical cells. It can be obtained as the dual of the prismatic transitional biomnisnub decachoron.
Each cell of this polychoron is completely asymmetric, with 1 mirror-symmetric hexagon, 1 mirror-symmetric pentagon, 1 kite, 1 isosceles triangle, and 6 scalene triangles for faces.