Cubic pyramid

Cubic pyramid
TypePolyhedral pyramid
Schläfli symbol( ) ∨ {4,3}
( ) ∨ [{4} × { }]
( ) ∨ [{ } × { } × { }]
Cells1 {4,3}
6 ( ) ∨ {4}
Faces12 {3}
6 {4}
Edges20
Vertices9
Coxeter groupB3
Symmetry group[4,3,1], order 48
[4,2,1], order 16
[2,2,1], order 8
DualOctahedral pyramid
Propertiesconvex, regular-faced
Net

In 4-dimensional geometry, the cubic pyramid is bounded by one cube on the base and 6 square pyramid cells which meet at the apex. Since a cube has a circumradius divided by edge length less than one,[1] the square pyramids can be made with regular faces by computing the appropriate height.

  1. ^ Klitzing, Richard. "3D convex uniform polyhedra o3o4x - cube". sqrt(3)/2 = 0.866025