17-3 gyrochoron
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17-3 gyrochoron | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 17 20-vertex dodecahedra |
Faces | 17 isosceles triangles, 17+17+17 kites, 17 mirror-symmetric pentagons, 17 mirror-symmetric decagons |
Edges | 17+17+34+34+34+34 |
Vertices | 17+17+17+17+17 |
Vertex figure | 17+17+17+17+17 phyllic disphenoids |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | 17-3 step prism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | S2(I2(17)-3), order 34 |
Convex | Yes |
Nature | Tame |
The 17-3 gyrochoron, also known as gyrus 17, is a convex isochoric polychoron and member of the gyrochoron family with 17 identical cells. It can also be constructed as the 17-6 gyrochoron.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric decagons, 2 mirror-symmetric pentagons, 6 kites, and 2 isosceles triangles for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".