20-4 gyrochoron
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| 20-4 gyrochoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 20 ridge-ditruncated tetragonal antiwedges |
| Faces | 20+20 isosceles triangles, 20+20 kites, 20 mirror-symmetric octagons |
| Edges | 5+20+40+40+40 |
| Vertices | 5+20+20+20 |
| Vertex figure | 20+20+20 phyllic disphenoids, 5 square gyrotegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 20-4 step prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(20)-4), order 40 |
| Convex | Yes |
| Nature | Tame |
The 20-4 gyrochoron, also known as the pentagon tetracoil, is a convex isochoric polychoron and member of the gyrochoron family with 20 ridge-ditruncated tetragonal antiwedges as cells.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric octagons, 4 kites, and 4 isosceles triangles for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".