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Gyroelongated pyramid
Polyhedron formed by capping an antiprism with a pyramid / From Wikipedia, the free encyclopedia
In geometry, the gyroelongated pyramids (also called augmented antiprisms) are an infinite set of polyhedra, constructed by adjoining an n-gonal pyramid to an n-gonal antiprism.
Quick Facts Faces, Edges ...
Gyroelongated pyramid | |
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![]() Example pentagonal form | |
Faces | 3n triangles 1 n-gon |
Edges | 5n |
Vertices | 2n + 1 |
Symmetry group | Cnv, [n], (*nn) |
Rotation group | Cn, [n]+, (nn) |
Properties | convex |
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There are two gyroelongated pyramids that are Johnson solids made from regular triangles and square, and pentagons. A triangular and hexagonal form can be constructed with coplanar faces. Others can be constructed allowing for isosceles triangles.