Cubic bipyramidOrthographic projection8 red vertices and 12 blue edges of central cube, with 2 yellow apex vertices.TypePolyhedral bipyramidSchläfli symbol {4,3} + { }dt{2,3,4}Coxeter-DynkinCells12 {4}∨{ } (2×6)Faces30 triangles (2×12+6)Edges28 (2×8+12)Vertices10 (2+8)DualOctahedral prismSymmetry group[2,4,3], order 96Propertiesconvex, 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.
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: (0, 0, 0; ±1) (±1, ±1, ±1; 0)
See also Tetrahedral bipyramid Dodecahedral bipyramid Icosahedral bipyramid
References
External links Cubic tegum