Triangular duoantitegum
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| Triangular duoantitegum | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Notation | |
| Coxeter diagram | p6o2p6o |
| Elements | |
| Cells | 18 elongated tetragonal disphenoids |
| Faces | 36 isosceles triangles, 36 rhombi |
| Edges | 12+72 |
| Vertices | 12+18 |
| Vertex figure | 18 tetragonal disphenoids, 12 triangular antitegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triangular duoantiprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (G2≀S2)/2, order 144 |
| Convex | Yes |
| Nature | Tame |
The triangular duoantitegum, also known as the triangular-triangular duoantitegum, the 3 duoantitegum or the 3-3 duoantitegum, is a convex isochoric polychoron and member of the duoantitegum family with 18 elongated tetragonal disphenoids as cells. It is the second in an infinite family of isochoric triangular hosohedral swirlchora.
Each cell of this polychoron has digonal antiprismatic symmetry, with 4 rhombi and 4 isosceles triangles for faces.
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Elongated tetragonal disphenoid (18): Triangular duoantiprism
- Rhombus (36): Hexagonal duoprism
- Isosceles triangle (36): Triangular double gyroantiprismoid
- Edge (12): Hexagonal duotegum
- Edge (72): Hexagonal ditetragoltriate
- Vertex (12): Hexagonal duotegum
- Vertex (18): Triangular duoantiprism
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".
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