Dodecagonal tetrambitriate
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| Dodecagonal tetrambitriate | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 288 wedges |
| Faces | 288 isosceles triangles, 288 isosceles trapezoids, 144 squares |
| Edges | 24+288+288 |
| Vertices | 24+144 |
| Vertex figure | 144 digonal scalenohedra, 24 dodecagonal tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Dodecagonal ditetragoltriate |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(12)≀S2, order 1152 |
| Convex | Yes |
| Nature | Tame |
The dodecagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 288 wedges as cells. It is the first in an infinite family of isochoric dodecagonal tegmatic swirlchora.
Each cell of this polychoron has rectangular pyramidal symmetry, with 1 square, 2 isosceles trapezoids, and 2 isosceles triangles for faces.