Elongated hexagonal bipyramid

Short description: Polyhedron; hexagonal

prism capped with pyramids

Elongated hexagonal bipyramid

Type| Elongated bipyramid
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
Net

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 is not 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. Other chemicals also have this shape.[1]
* The edge-first orthogonal projection of a 24-cell is an elongated hexagonal bipyramid.
* Used as the shape of Fruit Gushers candy.
* Used as a physical manifestation for assisting various branches of three-dimensional graph theory.

## References

1. ↑ Controllable synthesis of elongated hexagonal bipyramid shaped La(OH)3 nanorods and the distribution of electric property by off-axis electron holography September 2016, Volume 9, Issue 9, pp 2561–2571

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