Petrial helical hexagonal tiling

Petrial helical hexagonal tiling
Rank	3
Type	Regular
Notation
Schläfli symbol	$\{\infty ,3\}_{6}\#\{\infty \}$ $\{6,3\}^{\pi }\#\{\infty \}$
Elements
Faces	Zigzags
Vertex figure	Skew triangle
Petrie polygons	Hexagonal helices
Related polytopes
Petrie dual	Helical hexagonal tiling
Abstract & topological properties
Schläfli type	{∞,6}
Properties
Convex	No

The petrial helical hexagonal tiling is a regular skew apeirohedron in 3-dimensional Euclidean space. It can be made as the blend of the Petrial hexagonal tiling with an apeirogon, or by taking the Petrial of the helical hexagonal tiling.

External links

• jan Misali (2020). "there are 48 regular polyhedra"
• "Regular polyhedra".

Bibliography

• McMullen, Peter; Schulte, Egon (1997). "Regular Polytopes in Ordinary Space" (PDF). Discrete Computational Geometry (47): 449–478. doi:10.1007/PL00009304.