Digonal duocomb
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| Digonal duocomb | |
|---|---|
| Rank | 3 |
| Dimension | 2 |
| Type | Regular |
| Notation | |
| Schläfli symbol | {4,4∣2} |
| Elements | |
| Faces | 4 squares |
| Edges | 8 |
| Vertices | 4 |
| Vertex figure | Square |
| Petrie polygons | 4 squares |
| Related polytopes | |
| Dual | Digonal duocomb |
| Petrie dual | Digonal duocomb |
| Abstract & topological properties | |
| Flag count | 32 |
| Euler characteristic | 0 |
| Schläfli type | {4,4} |
| Orientable | Yes |
| Genus | 1 |
The digonal duocomb is a degenerate regular polyhedron consisting of 4 squares. It can be formed as the comb product of two digons, meaning it has the extended Schläfli symbol {4,4∣2}. It is self-dual, self-Petrial, and there exist points that are connected by 2 different edges (like the digon). It can be obtained by halving the halved square duocomb.
Despite the digonal duocomb containing square faces, its halving is not a valid abstract polytope due to the diamond condition.
It is the smallest possible abstract regular polytope with the Schläfli type {4,4}.
External links[edit | edit source]
- Hartley, Michael. "{4,4}*32".
- Wedd, N. {4,4}(2,0)