Cube (6-dimensional)

Cube (6-dimensional)
Rank	3
Dimension	6
Type	Regular
Elements
Faces	6 skew squares
Edges	12
Vertices	8
Vertex figure	Triangle
Petrie polygons	4 skew hexagonal-triangular coils
Abstract & topological properties
Flag count	48
Schläfli type	{4,3}
Orientable	Yes
Properties
Flag orbits	1
Convex	No
Dimension vector	(3,4,4)

This article is about a skew polyhedron in 6-dimensions. For the convex polytope of rank 6, see 6-cube.

The 6-dimensional cube is a regular polyhedron in 6 dimensions. It can be constructed as the blend of the Petrial tetrahedron with the convex cube.

4 6-dimensional cubes form the facets of the pure hemitesseract.

Related polytopes

Symmetric realizations of {4,3}. Click on a node to be taken to the page for that realization.

• : Faithful realization
• : Non-faithful realization
• : Blend with the convex cube.
• : Blend with the Petrial tetrahedron.
• : Blend with the dyad.

The 6-dimensional cube is one of 5 faithful symmetric realizations of the abstract polyhedron {4,3}.

External links

• Hartley, Michael. "{4,3}*48".
• Wedd, N. The cube