Gyroelongated Bipyramid - Forms

Forms

Two members of the set can be deltahedra, that is, constructed entirely of equilateral triangles: the gyroelongated square bipyramid, a Johnson solid, and the icosahedron, a Platonic solid. The gyroelongated triangular bipyramid can be made with equilateral triangles, but is not a deltahedron because it has coplanar faces, i.e. is not strictly convex. The other members can be constructed with isosceles triangles.

n 3 4 5 6 n
Shape Gyroelongated triangular bipyramid Gyroelongated square bipyramid Gyroelongated pentagonal bipyramid
(icosahedron)
Gyroelongated hexagonal bipyramid Gyroelongated bipyramid
Image
Dual Triangular truncated trapezohedron Square truncated trapezohedron Pentagonal truncated trapezohedron
(Dodecahedron)
Hexagonal truncated trapezohedron Truncated trapezohedra

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