Hexagonal tetrambitriate
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| Hexagonal tetrambitriate | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 72 wedges |
| Faces | 72 isosceles triangles, 72 isosceles trapezoids, 36 squares |
| Edges | 12+72+72 |
| Vertices | 12+36 |
| Vertex figure | 36 digonal scalenohedra, 12 hexagonal tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hexagonal ditetragoltriate |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | G2≀S2, order 288 |
| Convex | Yes |
| Nature | Tame |
The hexagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 72 wedges as cells. It is the first in an infinite family of isochoric hexagonal tegmatic swirlchora.
Each cell of this polychoron has rectangular pyramidal symmetry, with 1 square, 2 isosceles trapezoids, and 2 isosceles triangles for faces.