21-8 gyrochoron
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21-8 gyrochoron | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 21 16-vertex decahedra |
Faces | 42 kites, 42 mirror-symmetric pentagons, 21 rectangular-symmetric hexagons |
Edges | 42+42+84 |
Vertices | 42+42 |
Vertex figure | 42+42 phyllic disphenoids |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | 21-8 step prism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | S2(I2(21)-8)×2R, order 84 |
Convex | Yes |
Nature | Tame |
The 21-8 gyrochoron, also known as the triswirl 21, is a convex isochoric polychoron with 21 identical cells.
Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric hexagons, 4 mirror-symmetric pentagons, and 4 kites for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".