Cubic pyramid
| Cubic pyramid | |
|---|---|
| Type | Polyhedral pyramid |
| Schläfli symbol | ( ) ∨ {4,3} ( ) ∨ [{4} × { }] ( ) ∨ [{ } × { } × { }] |
| Cells | 1 cube 6 square pyramids |
| Faces | 12 triangles 6 squares |
| Edges | 20 |
| Vertices | 9 |
| Coxeter group | B3 |
| Symmetry group | [4,3,1], order 48 [4,2,1], order 16 [2,2,1], order 8 |
| Dual | Octahedral pyramid |
| Properties | convex, regular-faced |
In four-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, the square pyramids can be made with regular faces by computing the appropriate height.