Helical square tiling
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| Helical square tiling | |
|---|---|
| Rank | 3 |
| Type | Regular |
| Notation | |
| Schläfli symbol | {4,4}#{∞} |
| Elements | |
| Faces | Square helices |
| Vertex figure | Skew square |
| Petrie polygons | zigzags |
| Related polytopes | |
| Petrie dual | Petrial helical square tiling |
| Abstract & topological properties | |
| Schläfli type | {∞,4} |
| Orientable | Yes |
| Genus | ∞ |
| Properties | |
| Convex | No |
The helical square tiling is a regular skew apeirohedron in 3-dimensional Euclidean space. It can be made as the blend of the square tiling with a apeirogon.
External links[edit | edit source]
- jan Misali (2020). "there are 48 regular polyhedra"
- "Regular polyhedra".
Bibliography[edit | edit source]
- McMullen, Peter; Schulte, Egon (1997). "Regular Polytopes in Ordinary Space" (PDF). Discrete Computational Geometry (47): 449–478. doi:10.1007/PL00009304.