Joined triangular duotegum
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| Joined triangular duotegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 18 notches |
| Faces | 18+36 isosceles triangles |
| Edges | 6+9+36 |
| Vertices | 6+9 |
| Vertex figure | 9 tetragonal disphenoids, 6 joined triangular prisms |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Rectified triangular duoprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | A2≀S2, order 72 |
| Convex | Yes |
| Nature | Tame |
The joined triangular duotegum is a convex isochoric polychoron and member of the family of joined duotegums with 18 notches as cells.
Each cell of this polychoron has rectangular pyramidal symmetry, with 6 isosceles triangles for faces.
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Notch (18): Rectified triangular duoprism
- Isosceles triangle (18): Rectified triangular duoprism
- Isosceles triangle (36): Semi-uniform hexagonal duoprism
- Edge (6): Triangular duotegum
- Edge (9): Triangular duoprism
- Edge (36): Triangular duoexpandoprism
- Vertex (6): Triangular duotegum
- Vertex (9): Triangular duoprism