The Elongated Square Bipyramid
The elongated square bipyramid is the 15th Johnson solid (J15). It has 10 vertices, 20 edges, and 12 faces (8 equilateral triangles and 4 squares).
The elongated square bipyramid can be constructed by attaching two square pyramids to a cube. Its name describes its relation to the octahedron, regarded as the square bipyramid: inserting a cube between the two constituent square pyramids to make the bipyramid longer.
Here are some views of the elongated square bipyramid from various angles:
Diagonal side view.
The Cartesian coordinates of the elongated square bipyramid with edge length 2 are:
- (0, 0, ±(1+√2))
- (±1, ±1, ±1)