Joined triangular-antitegmatic icosachoron
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| Joined triangular-antitegmatic icosachoron | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 60 skew rhombic tegums |
| Faces | 120 scalene triangles, 120 isosceles triangles |
| Edges | 30+40+40+120 |
| Vertices | 10+20+20 |
| Vertex figure | 20 triangular antitegums, 10 cubes, 20 joined triangular prisms |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rectified small prismatodecachoron |
| Abstract & topological properties | |
| Flag count | 2880 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A4×2, order 240 |
| Convex | Yes |
| Nature | Tame |
The joined triangular-antitegmatic icosachoron is a convex isochoric polychoron with 60 skew rhombic tegums as cells. It can be obtained as the dual of the rectified small prismatodecachoron.
Each cell of this polychoron has rectangular pyramidal symmetry, with 4 isosceles triangles and 4 scalene triangles for faces.