cubical bipyramid

{{Short description|4-D object; direct sum of a cube and a segment}}

class="wikitable" align="right" style="margin-left:10px" width="250"
bgcolor=#e7dcc3 colspan=3|Cubic bipyramid
align=center colspan=3|240px Orthographic projection 8 red vertices and 12 blue edges of central cube, with 2 yellow apex vertices.
bgcolor=#e7dcc3|Type |Polyhedral bipyramid
bgcolor=#e7dcc3|Schläfli symbol | {4,3} + { } dt{2,3,4}
bgcolor=#e7dcc3|Coxeter-Dynkin |{{CDD|node_f1|2x|node_f1|4|node|3|node}}
bgcolor=#e7dcc3|Cells |12 {4}∨{ } 30px (2×6)
bgcolor=#e7dcc3|Faces |30 triangles (2×12+6)
bgcolor=#e7dcc3|Edges |28 (2×8+12)
bgcolor=#e7dcc3|Vertices |10 (2+8)
bgcolor=#e7dcc3|Dual |Octahedral prism
bgcolor=#e7dcc3|Symmetry group |[2,4,3], order 96
bgcolor=#e7dcc3|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.{{cite web | url=https://bendwavy.org/klitzing/incmats/cubdipy.htm | title=Cute }}

It is the dual of a octahedral prism.

Being convex and regular-faced, it is a CRF polytope.