Elongated hexagonal bipyramid

Elongated hexagonal bipyramid
File:Elongated hexagonal dipyramid.png
Type	Elongated dipyramid
Faces	12 triangles 6 squares
Edges	30
Vertices	14
Vertex configuration	2 of 36 12 of 32.42
Symmetry group	D6h, [6,2], (*226)
Dual polyhedron	Hexagonal bifrustum
Properties	convex

In geometry, the elongated hexagonal bipyramid is constructed by elongating a hexagonal bipyramid (by inserting a hexagonal prism between its congruent halves).

Related polyhedra

This polyhedron is in the family of elongated bipyramids, of which the first three can be Johnson solids: J₁₄, J₁₅ and J₁₆. The hexagonal form can be constructed by all regular faces, but isn't a Johnson solid because 6 equilateral triangles would form six co-planar faces (in a regular hexagon).

Uses

• A quartz crystal is an example of an elongated hexagonal bipyramid. Because it has 18 faces, it can be called an octadecahedron.
• The edge-first orthogonal projection of a 24-cell is an elongated hexagonal bipyramid.
• Used as the outer structure of gelatin-based juice-delivery systems.
• Used a physical manifestation for assisting various branches of three-dimensional graph theory