Elongated square bipyramid

Elongated square bipyramid
Elongated square bipyramid
Type	Johnson; J14 – J15 – J16
Faces	8 triangles; 4 squares
Edges	20
Vertices	10
Vertex configuration
Symmetry group
Dual polyhedron	square bifrustum
Properties	convex
Net

In geometry, the elongated square bipyramid (or elongated octahedron) is the polyhedron constructed by attaching two equilateral square pyramids onto a cube's faces that are opposite each other. It can also be seen as 4 lunes (squares with triangles on opposite sides) linked together with squares to squares and triangles to triangles. It is also been named the pencil cube or 12-faced pencil cube due to its shape.^[1]^[2]

A zircon crystal is an example of an elongated square bipyramid.

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Elongated square bipyramid

Type	Johnson $J 14 - J 15 - J 16$
Faces	8 triangles 4 squares
Edges	20
Vertices	10
Vertex configuration	$2\times 3^{4}+8\times (3^{2}\times 4^{2})$
Symmetry group	$D_{4h}$
Dual polyhedron	square bifrustum
Properties	convex
Net