In geometry, the elongated pyramids are an infinite set of polyhedra, constructed by adjoining an n-gonal pyramid to an n-gonal prism. Along with the set of pyramids, these figures are topologically self-dual.
Elongated pyramid | |
---|---|
Faces | n triangles n squares 1 n-gon |
Edges | 4n |
Vertices | 2n + 1 |
Symmetry group | Cnv, [n], (*nn) |
Rotation group | Cn, [n]+, (nn) |
Dual polyhedron | self-dual |
Properties | convex |
There are three elongated pyramids that are Johnson solids:
Higher forms can be constructed with isosceles triangles.
name | faces | |
---|---|---|
elongated triangular pyramid (J7) | 3+1 triangles, 3 squares | |
elongated square pyramid (J8) | 4 triangles, 4+1 squares | |
elongated pentagonal pyramid (J9) | 5 triangles, 5 squares, 1 pentagon |