10-3 antibigyrochoron
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| 10-3 antibigyrochoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 20 16-vertex decahedra |
| Faces | 20 isosceles trapezoids, 20 kites, 40 irregular pentagons, 20 mirror-symmetric hexagons |
| Edges | 20+20+40+40+40 |
| Vertices | 10+10+20+40 |
| Vertex figure | 10+10 tetragonal disphenoids, 20 phyllic disphenoids, 40 irregular tetrahedra |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | 10-3 double gyrostep prism |
| Abstract & topological properties | |
| Flag count | 1920 |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(10)+×4×I, order 40 |
| Flag orbits | 48 |
| Convex | Yes |
| Nature | Tame |
The 10-3 antibigyrochoron, also known as the broken crystallic 20, is a convex isochoric polychoron with 20 identical cells.
Each cell of this polychoron has bilateral symmetry, with 2 hexagons, 4 pentagons, and 4 tetragons for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".