4-D object; direct sum of a cube and a segment
| Cubic bipyramid
|
![]()
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.
Coordinates
It is a Hanner polytope with coordinates:[2]
- [2] (0, 0, 0; ±1)
- [8] (±1, ±1, ±1; 0)
See also
References
External links
