Kappa 5-cell

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Kappa 5-cell
Rank4
Dimension4
TypeRegular
Notation
Schläfli symbol
  • {3,3,3}κ 
  • {{6,3}4,{3,3}}
Elements
Cells5 blended Petrial cubes
Faces10 skew hexagons
Edges20
Vertices10
Vertex figureTetrahedron
Related polytopes
ArmyBideca
Convex hullBidecachoron
Abstract & topological properties
Flag count240
Schläfli type{6,3,3}
OrientableYes
Properties
SymmetryA4×2, order 240
ConvexNo
Dimension vector(1,3,3,3)

The kappa 5-cell (also known as kappa pentachoron or 3𝓣4
(2,0)
 
) is a regular skew polychoron of full rank. It can be formed as the kappa of the pentachoron. It is locally toroidal.

Related polytopes[edit | edit source]

The kappa 5-cell and the blended 5-cell are both realizations of the same underlying abstract polytope.

External links[edit | edit source]

Hartley, Michael. "{6,3,3}*240".

References[edit | edit source]

  • McMullen, Peter; Schulte, Egon (December 2002). Abstract Regular Polytopes. Cambridge University Press. p. 395. ISBN 0-521-81496-0.