Joined hexateron
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| Joined hexateron | |
|---|---|
| Rank | 5 |
| Type | Uniform dual |
| Notation | |
| Coxeter diagram | o3m3o3o3o |
| Elements | |
| Tera | 15 tetrahedral tegums |
| Cells | 60 triangular pyramids |
| Faces | 20 triangles, 60 isosceles triangles |
| Edges | 15+30 |
| Vertices | 6+6 |
| Vertex figure | 5 joined pentachora, 6 pentachora |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rectified hexateron |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | A5, order 720 |
| Convex | Yes |
| Nature | Tame |
The joined hexateron, also known as the tetrahedral-tegmatic pentadecateron, is a convex isoteric polyteron with 15 identical tetrahedral tegums as tera. It can be obtained as the dual of the uniform rectified hexateron.
It can also be obtained as the convex hull of two dually oriented hexatera, one of which has twice the edge length of the other.