13-3 gyrochoron
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13-3 gyrochoron | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 13 16-vertex decahedra |
Faces | 13+13 isosceles triangles, 13 kites, 13 mirror-symmetric hexagons, 13 mirror-symmetric octagons |
Edges | 13+13+26+26+26 |
Vertices | 13+13+13+13 |
Vertex figure | 13+13+13+13 phyllic disphenoids |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | 13-3 step prism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | S2(I2(13)-3), order 26 |
Convex | Yes |
Nature | Tame |
The 13-3 gyrochoron, also known as rocky 13, is a convex isochoric polychoron and member of the gyrochoron family with 13 identical cells. It can also be constructed as the 13-4 gyrochoron.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric octagons, 2 mirror-symmetric hexagons, 2 kites, and 4 isosceles triangles for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".