Cubic bipyramid | ||
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Orthographic projection 8 red vertices and 12 blue edges of central cube, with 2 yellow apex vertices. | ||
Type | Polyhedral bipyramid | |
Schläfli symbol | {4,3} + { } dt{2,3,4} | |
Coxeter-Dynkin | ||
Cells | 12 {4}∨{ } (2×6) | |
Faces | 30 triangles (2×12+6) | |
Edges | 28 (2×8+12) | |
Vertices | 10 (2+8) | |
Dual | Octahedral prism | |
Symmetry group | [2,4,3], order 96 | |
Properties | convex, regular-faced,CRF polytope, Hanner polytope |
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.[1]
It is the dual of a octahedral prism.
Being convex and regular-faced, it is a CRF polytope.