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Cubical bipyramid

Cubical bipyramid

In 4-dimensional geometry, the cubical bipyramid is the direct sum of a cube and a segment, {4,3} + { }. Each face of a central cube is attached with two square pyramids, creating 12 square pyramidal cells, 30 triangular faces, 28 edges, and 10 vertices. A cubical bipyramid can be seen as two cubic pyramids augmented together at their base. It is the dual of a octahedral prism. Being convex and regular-faced, it is a CRF polytope.

Coordinates It is a Hanner polytope with coordinates:

[2] (0, 0, 0; ±1) [8] (±1, ±1, ±1; 0)

See also Tetrahedral bipyramid Dodecahedral bipyramid Icosahedral bipyramid

References

External links Cubic tegum

Tags

  • 4-polytopes
  • Geometry stubs