Edges 16n Symmetry group Dn, [n,2], (n22) | Vertices 6n Rotation group Dn, [n,2], (n22) | |
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Faces 6n triangles2n squares2 n-gon |
In geometry, the gyroelongated bicupolae are an infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal Antiprism. The triangular, square, and pentagonal gyroelongated bicupola are three of five Johnson solids which are chiral, meaning that they have a "left-handed" and a "right-handed" form.
Adjoining two triangular prisms to a cube also generates a polyhedron, but has adjacent parallel faces, so is not a Johnson solid. The hexagonal form is also a polygon, but has coplanar faces. Higher forms can be constructed without regular faces.
References
Gyroelongated bicupola Wikipedia(Text) CC BY-SA