The Elongated Triangular Bipyramid
The elongated triangular bipyramid is the 14th Johnson solid (J14). It has 8 vertices and 9 faces (6 equilateral triangles and 3 squares).
The elongated triangular bipyramid can be constructed by attaching two tetrahedra to a triangular prism. Its name describes its relation to the triangular bipyramid: inserting a triangular prism between the two constituent tetrahedra to make the bipyramid longer.
Here are some views of the elongated triangular bipyramid from various angles:
The Cartesian coordinates of the elongated triangular bipyramid with edge length 2 are:
- (0, 0, ±(1+√(8/3)))
- (±1, −1/√3, ±1)
- (0, 2/√3, ±1)