Elongated cupola
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| Set of elongated cupolae | |
|---|---|
 Elongated pentagonal cupola | |
| Faces | n triangles 3n squares 1 n-gon 1 2n-gon |
| Edges | 9n |
| Vertices | 5n |
| Symmetry group | Cnv, [n], (*nn) |
| Rotational group | Cn, [n]+, (nn) |
| Dual polyhedron | |
| Properties | convex |
In geometry, the elongated cupolae are an infinite set of polyhedra, constructed by adjoining an n-gonal cupola to a 2n-gonal prism.
There are three elongated cupolae that are Johnson solids made from regular triangles, squares, and pentagons. Higher forms can be constructed with isosceles triangles. Adjoining a triangular prism to a cube also generates a polyhedron, but has two pairs of coplanar faces, so is not a Johnson solid. Higher forms can be constructed without regular faces.
