Great 10-3 bigyrochoron
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| Great 10-3 bigyrochoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isochoric |
| Elements | |
| Cells | 20 22-vertex tridecahedra |
| Faces | 20 isosceles triangles, 40 scalene triangles, 10 squares, 40 irregular hexagons, 20 mirror-symmetric decagons |
| Edges | 20+40+40+40+40+40 |
| Vertices | 10+20+40+40 |
| Vertex figure | 10 tetragonal disphenoids, 20 phyllic disphenoids, 40+400 irregular tetrahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great 10-3 double step prism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(10)+×4×I, order 40 |
| Convex | Yes |
| Nature | Tame |
The great 10-3 bigyrochoron, also known as the clunky 20, is a convex isochoric polychoron with 20 identical cells.
Each cell of this polychoron has mirror symmetry, with 2 decagons, 4 hexagons, 1 tetragon, and 6 triangles for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".