Halved pentagonal duocomb
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Halved pentagonal duocomb | |
---|---|
Rank | 3 |
Dimension | 4 |
Type | Regular |
Elements | |
Faces | 25 skew squares |
Edges | 50 |
Vertices | 25 |
Vertex figure | Skew square |
Petrie polygons | 10 skew pentagons |
Related polytopes | |
Army | Pedip |
Dual | Halved pentagonal duocomb |
Petrie dual | Petrial halved pentagonal duocomb |
Halving | Pentagrammic duocomb |
Convex hull | Pentagonal duocomb |
Abstract & topological properties | |
Flag count | 200 |
Euler characteristic | 0 |
Schläfli type | {4,4} |
Surface | Double cover of the flat torus |
Orientable | Yes |
Genus | 1 |
Properties | |
Symmetry | H2≀S2, order 200 |
Convex | No |
Dimension vector | (2,3,2) |
The halved pentagonal duocomb is a regular skew polyhedron in 4-dimensional Euclidean space. It can be constructed by halving the pentagonal duocomb, and the two are abstractly equivalent. Halving the halved pentagonal duocomb gives the pentagrammic duocomb, and if you halve the halved pentagonal duocomb three times you return to the original pentagonal duocomb.
Vertex coordinates[edit | edit source]
Its vertex coordinates are the same as those of the pentagonal duoprism of edge length . For the halved pentagonal duocomb of edge length 1 these can be given as:
- ,
- ,
- ,
- ,
- ,
- ,
- ,
- ,
- .
External links[edit | edit source]
- Hartley, Michael. "{4,4}*200".