18-2 gyrochoron
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| 18-2 gyrochoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 18 ridge-sextitruncated wedges |
| Faces | 18 isosceles triangles, 18+18+18+18+18+18 kites, 9 rhombi, 18 mirror-symmetric hexadecagons |
| Edges | 18+36+36+36+36+36+36+36 |
| Vertices | 9+18+18+18+18+18+18+18 |
| Vertex figure | 18+18+18+18+18+18+18 phyllic disphenoids, 9 rhombic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 18-2 step prism |
| Abstract & topological properties | |
| Flag count | 3240 symmetry = S2(I2(18)-2), order 36 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Flag orbits | 90 |
| Convex | Yes |
| Nature | Tame |
The 18-2 gyrochoron, also known as möbius 18, is a convex isotopic polychoron and member of the gyrochoron family wih 18 ridge-sextitruncated wedges as cells.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric hexadecagons, 1 rhombus, 12 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".