Cubic_pyramid
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.
Cubic pyramid | ||
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Schlegel diagram | ||
Type | Polyhedral pyramid | |
Schläfli symbols | ( ) ∨ {4,3} ( ) ∨ [{4} × { }] ( ) ∨ [{ } × { } × { }] | |
Cells | 7 | 1 {4,3} 6 ( ) ∨ {4} |
Faces | 18 | 12 {3} 6 {4} |
Edges | 20 | |
Vertices | 9 | |
Dual | Octahedral pyramid | |
Symmetry group | B3, [4,3,1], order 48 [4,2,1], order 16 [2,2,1], order 8 | |
Properties | convex, regular-faced | |
Net |