Elongated square bipyramid
Cube capped by two square pyramids / From Wikipedia, the free encyclopedia
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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]
Quick Facts Type, Faces ...
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 | |
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A zircon crystal is an example of an elongated square bipyramid.