Kappa 5-cube

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Kappa 5-cube
Rank5
Dimension5
TypeRegular
Elements
Facets5 blended alternative tesseracts
Cells20 blended Petrial tetrahedra
Faces40 skew squares
Edges40
Vertices16
Vertex figure5-cell
Related polytopes
ArmyHin
κ ?5-cube
Convex hull5-demicube
Abstract & topological properties
Flag count1920
Schläfli type{4,3,3,3}
OrientableNo
SkeletonClebsch graph (5-regular)
Properties
SymmetryD5, order 1920
Flag orbits1
ConvexNo
Dimension vector(1,4,4,4,4)

The kappa 5-cube is a regular skew 5-polytope of full rank. As an abstract polytope, it is isomorphic to the hemi-5-cube. It can be obtained by applying the kappa operation to the 5-cube.

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