Cubic pyramid | |
---|---|
Type | Polyhedral pyramid |
Schläfli symbol | ( ) ∨ {4,3} ( ) ∨ [{4} × { }] ( ) ∨ [{ } × { } × { }] |
Cells | 1 {4,3} 6 ( ) ∨ {4} |
Faces | 12 {3} 6 {4} |
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 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.