Petrial blended cube

From Polytope Wiki
(Redirected from Blended Petrial cube)
Jump to navigation Jump to search
Petrial blended cube
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{4,3}π#{}
Elements
Faces4 skew hexagons
Edges12
Vertices8
Vertex figureTriangle
Petrie polygons6 skew squares
Related polytopes
ArmyHex
Petrie dualBlended cube
Convex hullTetrahedral antiprism
Abstract & topological properties
Flag count48
Euler characteristic0
Schläfli type{6,3}
OrientableYes
Genus1
Properties
Symmetry(A3×2×A1)/2, order 48
ConvexNo
Dimension vector(1,3,3)

The Petrial blended cube is a regular polyhedron in 4-dimensional Euclidean space. It is the blend of the Petrial cube with a dyad, and the Petrial of the blended cube.

Related polytopes[edit | edit source]

It is abstractly equivalent to the blended tetrahedron, another regular polyhedron in 4-dimensional Euclidean space.

In four dimensions it is the kappa of the tetrahedron, as a result it is a facet of the kappas of the regular polychora with tetrahedral facets:

Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the blended cube.

External links[edit | edit source]