19-7 gyrochoron
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19-7 gyrochoron | |
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Rank | 4 |
Type | Isotopic |
Space | Spherical |
Elements | |
Cells | 19 edge-laterostellated heptagonal prisms |
Faces | 19+19+19 kites, 19 mirror-symmetric pentagons, 19 mirror-symmetric heptagons |
Edges | 19+19+38+38+38+38 |
Vertices | 19+19+19+19 |
Vertex figure | 19+19+19+19 phyllic disphenoids |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | 19-7 step prism |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | S2(I2(19)-7), order 38 |
Convex | Yes |
Nature | Tame |
The 19-7 gyrochoron, also known as funky 19, is a convex isochoric polychoron and member of the gyrochoron family with 19 edge-laterostellated heptagonal prisms as cells. It can also be constructed as the 19-8 gyrochoron. It is also the heptagonal funk prism.
Each cell of this polychoron has bilateral symmetry, with 2 mirror-symmetric heptagons, 2 mirror-symmetric pentagons, and 6 kites for faces.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".