Elongated hexagonal bipyramid explained

Type:	Elongated bipyramid
Faces:	12 triangles 6 squares
Edges:	30
Vertices:	14
Vertex Config:	2 of 3 12 of 3.4
Dual:	Hexagonal bifrustum
Properties:	convex
Net:	Elongated_hexagonal_bipyramid_net.png

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.

Notes and References

1. Controllable synthesis of elongated hexagonal bipyramid shaped La(OH)3 nanorods and the distribution of electric property by off-axis electron holography . 10.1007/s12274-016-1142-6 . 2016 . Wen . Zhiwei . Liang . Chongyun . Bi . Han . Li . Yuesheng . Che . Renchao . Nano Research . 9 . 9 . 2561–2571 .