Small 10-3 bigyrochoron
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Small 10-3 bigyrochoron | |
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Rank | 4 |
Type | Isotopic |
Space | Spherical |
Elements | |
Cells | 20 18-vertex hendecahedra |
Faces | 20 kites, 40 irregular tetragons, 20 mirror-symmetric pentagons, 20 mirror-symmetric hexagons, 10 square-symmetric octagons |
Edges | 20+40+40+40+40 |
Vertices | 10+20+20+40 |
Vertex figure | 10 tetragonal disphenoids, 20+20 phyllic disphenoids, 40 irregular tetrahedra |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Small 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 small 10-3 bigyrochoron, also known as the chunky 20, is a convex isochoric polychoron with 20 identical cells.
Each cell of this polychoron has digonal symmetry, with 1 octagon, 2 hexagons, 2 pentagons, and 6 tetragons for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".