Biapiculatodecachoron
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| Biapiculatodecachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 40 order-6 truncated semibisected trigonal trapezohedra |
| Faces | 60+120 kites, 20 ditrigons |
| Edges | 40+120+120 |
| Vertices | 10+20+30+60 |
| Vertex figure | 20 triangular antitegums, 10 tetrahedra, 30 tetragonal disphenoids, 60 digonal disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Bitruncatodecachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A4×2, order 240 |
| Convex | Yes |
| Nature | Tame |
The biapiculatodecachoron is a convex isochoric polychoron with 40 order-6 truncated semibisected trigonal trapezohedra as cells. It can be obtained as the dual of the bitruncatodecachoron, or equivalently as the stellation core of the compound of two oppositely oriented tetrakis pentachora.
Each cell of this polychoron has triangular symmetry, with a ditrigonal base and 3+6 kites for faces.