Hexagonal duoantitegum
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| Hexagonal duoantitegum | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Notation | |
| Coxeter diagram | p12o2p12o |
| Elements | |
| Cells | 72 elongated tetragonal disphenoids |
| Faces | 144 isosceles triangles, 144 rhombi |
| Edges | 24+288 |
| Vertices | 24+72 |
| Vertex figure | 72 tetragonal disphenoids, 24 hexagonal antitegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hexagonal duoantiprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | (I2(12)≀S2)/2, order 576 |
| Convex | Yes |
| Nature | Tame |
The hexagonal duoantitegum, also known as the hexagonal-hexagonal duoantitegum, the 6 duoantitegum or the 6-6 duoantitegum, is a convex isochoric polychoron and member of the duoantitegum family with 72 elongated tetragonal disphenoids as cells. Together with its dual, it is the first in an infinite family of hexagonal antiprismatic swirlchora. It is the second in an infinite family of isochoric hexagonal hosohedral swirlchora.
Each cell of this polychoron has digonal antiprismatic symmetry, with 4 rhombi and 4 isosceles triangles for faces.
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