Great biomnistellatodecachoron
The great biomnistellatodecachoron is a convex isochoric polychoron with 240 irregular triangular prisms as cells. It can be obtained as the dual of the great biomnitruncatodecachoron.
| Great biomnistellatodecachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 240 irregular triangular prisms |
| Faces | 120+120 scalene triangles, 120+120 irregular tetragons, 120 kites |
| Edges | 40+40+40+60+60+120+120 |
| Vertices | 10+20+20+30+40 |
| Vertex figure | 30 digonal scalenohedra, 20 triambic tegums, 20+40 triangular scalenohedra, 10 disdyakis hexahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great biomnitruncatodecachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A4×2, order 240 |
| Convex | Yes |
| Nature | Tame |
Each cell of this polychoron is completely asymmetric, with 1 kite, 2 irregular tetragons, and 2 scalene triangles for faces.