Gyroelongated bipyramid

Set of gyroelongated dipyramids
Faces	4n triangles
Edges	6n
Vertices	2n+2
Symmetry group	Dnd
Dual polyhedron	truncated trapezohedra
Properties	convex

In geometry, the gyroelongated dipyramids are an infinite set of polyhedra, constructed by elongating an n'-agonal bipyramid (by inserting an n-agonal antiprism between its congruent halves.

Two forms can have all equilateral triangles, the gyroelongated square dipyramid is a Johnson solids , and the icosahedron is a the platonic solid. Other forms can be constructed with isosceles triangles.

Forms

• Gyroelongated triangular dipyramid - dual triangular truncated trapezohedron
• Gyroelongated square dipyramid - dual square truncated trapezohedron
• Gyroelongated pentagonal dipyramid icosahedron - dual pentagonal truncated trapezohedron dodecahedron
• Gyroelongated hexagonal dipyramid - dual hexagonal truncated trapezohedron
• ...
• n-agonal gyroelongated dipyramid - duals truncated trapezohedron