Hendecagonal tetrambitriate
The hendecagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 242 wedges as cells. It is the first in an infinite family of isochoric hendecagonal tegmatic swirlchora.
| Hendecagonal tetrambitriate | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 242 wedges |
| Faces | 242 isosceles triangles, 242 isosceles trapezoids, 121 squares |
| Edges | 22+242+242 |
| Vertices | 22+121 |
| Vertex figure | 121 digonal scalenohedra, 22 hendecagonal tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hendecagonal ditetragoltriate |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(11)≀S2, order 968 |
| Convex | Yes |
| Nature | Tame |
Each cell of this polychoron has rectangular pyramidal symmetry, with 1 square, 2 isosceles trapezoids, and 2 isosceles triangles for faces.