Octagonal tetrambitriate
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| Octagonal tetrambitriate | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 128 wedges |
| Faces | 128 isosceles triangles, 128 isosceles trapezoids, 64 squares |
| Edges | 16+128+128 |
| Vertices | 16+64 |
| Vertex figure | 64 digonal scalenohedra, 16 octagonal tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Octagonal ditetragoltriate |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(8)≀S2, order 512 |
| Convex | Yes |
| Nature | Tame |
The octagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 128 wedges as cells. It is the first in an infinite family of isochoric octagonal tegmatic swirlchora.
Each cell of this polychoron has rectangular pyramidal symmetry, with 1 square, 2 isosceles trapezoids, and 2 isosceles triangles for faces.
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