Petrial helical square tiling
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| Petrial helical square tiling | |
|---|---|
| Rank | 3 |
| Type | Regular |
| Notation | |
| Schläfli symbol | {4,4}π#{∞} |
| Elements | |
| Faces | ∞ zigzags |
| Vertex figure | Skew square |
| Petrie polygons | Square helices |
| Related polytopes | |
| Petrie dual | Helical square tiling |
| Abstract & topological properties | |
| Schläfli type | {∞,4} |
| Properties | |
| Convex | No |
| Dimension vector | (0,1,2) |
The Petrial helical square tiling is a regular skew apeirohedron in 3-dimensional Euclidean space. It can be made as the blend of the Petrial square tiling with an apeirogon, as the Petrial of the helical square tiling, or as the apeir of the skew square.
Related polytopes[edit | edit source]
3 Petrial helical square tilings can be made to form the Petrial apeir tetrahedron, a regular honeycomb.
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.