16-3 gyrochoron
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| 16-3 gyrochoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 16 20-vertex dodecahedra |
| Faces | 16+16 isosceles triangles, 16+16 kites, 16 mirror-symmetric hexagons, 16 mirror-symmetric decagons |
| Edges | 16+16+32+32+32+32 |
| Vertices | 16+16+16+16+16 |
| Vertex figure | 16+16+16+16+16 phyllic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 16-3 step prism |
| Abstract & topological properties | |
| Flag count | 1920 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(16)-3), order 32 |
| Flag orbits | 60 |
| Convex | Yes |
| Nature | Tame |
The 16-3 gyrochoron, also known as gyrus 16, is a convex isochoric polychoron and member of the gyrochoron family with 16 identical cells. It can also be constructed as the 16-5 gyrochoron.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric decagons, 2 mirror-symmetric hexagons, 4 kites, and 4 isosceles triangles for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".