Petrial blended square tiling

Petrial blended square tiling
Rank	3
Type	Regular
Space	Spherical
Notation
Schläfli symbol	$\{\infty, 4\}_4\#\{\}$ $\{4, 4\}^\pi\#\{\}$
Elements
Faces	$N$ zigzags
Edges	$N\times 2M$
Vertices	$N\times M$
Vertex figure	Square
Related polytopes
Army	Square tiling antiprism
Petrie dual	Blended square tiling
Convex hull	Square tiling antiprism
Abstract & topological properties
Flag count	$N\times 8M$
Schläfli type	{∞,4}
Orientable	Yes
Genus	∞
Properties
Convex	No

The Petrial blended square tiling is a regular skew polyhedron in 3D Euclidean space. Its faces are zigzags with 4 meeting at every vertex. It can be constructed as the Petrial of the blended square tiling or by blending the Petrial square tiling with a digon.

Vertex coordinates

The vertex coordinates of the petrial blended square tiling are the same as the blended square tiling.

External links

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

Bibliography

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