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Gyroelongated cupola
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In geometry, the gyroelongated cupolae are an infinite set of polyhedra, constructed by adjoining an n-gonal cupola to an 2n-gonal antiprism.
More information Set of gyroelongated cupolae ...
Set of gyroelongated cupolae | |
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![]() Example pentagonal form | |
Faces | 3n triangles n 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 |
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There are three gyroelongated cupolae that are Johnson solids made from regular triangles and square, and pentagons. Higher forms can be constructed with isosceles triangles. Adjoining a triangular prism to a square antiprism also generates a polyhedron, but has adjacent parallel faces, so is not a Johnson solid. The hexagonal form can be constructed from regular polygons, but the cupola faces are all in the same plane. Topologically other forms can be constructed without regular faces.