Petrial halved mucube

Petrial halved mucube
Rank	3
Type	Regular
Space	Spherical
Notation
Schläfli symbol	$\{4,6\}_6$, $\left\{ \frac{4}{1,2}, 6 : \frac{6}{1,3} \right\}$
Elements
Faces	N skew squares
Edges	2N
Vertices	3N
Vertex figure	Hexagon
Petrie polygons	3N skew hexagons
Related polytopes
Dual	Skewed Petrial muoctahedron
Petrie dual	Halved mucube
Halving	Mutetrahedron
Abstract & topological properties
Schläfli type	{4,6}
Orientable	Yes
Genus	∞
Properties
Convex	No

The Petrial halved mucube is a regular pure apeirohedron.

Gallery

• 

  A face of the Petrial halved mucube (red) and all adjacent faces (black).

• 

  Description A vertex of the Petrial halved mucube (red) and all adjacent faces. Each face is shown with transparant membrane to assist in depth perception.

Related polytopes

The Petrial halved mucube can be halved to form the mutetrahedron.

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.