15-2 gyrochoron
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| 15-2 gyrochoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 15 ridge-quadritruncated edge-truncated tetrahedra |
| Faces | 15 isosceles triangles, 15+15+15+15+15 kites, 15 mirror-symmetric tridecagons |
| Edges | 15+15+30+30+30+30+30 |
| Vertices | 15+15+15+15+15+15 |
| Vertex figure | 15+15+15+15+15+15 phyllic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 15-2 step prism |
| Abstract & topological properties | |
| Flag count | 2160 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(15)-2), order 30 |
| Flag orbits | 72 |
| Convex | Yes |
| Nature | Tame |
The 15-2 gyrochoron, also known as möbius 15, is a convex isotopic polychoron and member of the gyrochoron family with 15 ridge-quadritruncated edge-truncated tetrahedra as cells. It can also be constructed as the 15-7 gyrochoron.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric tridecagons, 10 kites, and 2 isosceles triangles for faces, and shares a face with every other cell.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".