Pentagonal tetrambitriate
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| Pentagonal tetrambitriate | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Space | Spherical |
| Elements | |
| Cells | 50 wedges |
| Faces | 50 isosceles triangles, 50 isosceles trapezoids, 25 squares |
| Edges | 10+50+50 |
| Vertices | 10+25 |
| Vertex figure | 25 digonal scalenohedra, 10 pentagonal tegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Pentagonal ditetragoltriate |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H2≀S2, order 200 |
| Convex | Yes |
| Nature | Tame |
The pentagonal tetrambitriate is a convex isochoric polychoron and member of the tetrambitriate family with 50 wedges as cells. It is the first in an infinite family of isochoric pentagonal tegmatic swirlchora.
Each cell of this polychoron has rectangular pyramidal symmetry, with 1 square, 2 isosceles trapezoids, and 2 isosceles triangles for faces.