Gyroelongated bipyramid
In geometry, the gyroelongated bipyramids are an infinite set of polyhedra, constructed by elongating an n-gonal bipyramid by inserting an n-gonal antiprism between its congruent halves.
| Gyroelongated bipyramid | |
|---|---|
The pentagonal gyroelongated bipyramid is the regular icosahedron. | |
| Faces | 4n triangles |
| Edges | 6n |
| Vertices | 2n + 2 |
| Symmetry group | Dnd, [2+,2n], (2*n), order 4n |
| Rotation group | Dn, [2,n]+, (22n), order 2n |
| Dual polyhedron | truncated trapezohedra |
| Properties | convex |
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