The Elongated Square Pyramid
The elongated square pyramid is the 8th Johnson solid (J8). It has 9 vertices and 9 faces (4 equilateral triangles and 5 squares).
The elongated square pyramid can be constructed by attaching a square pyramid to a cube.
Attaching another square pyramid to the opposite end of the cube produces the elongated square bipyramid.
Projections
Here are some views of the elongated square pyramid from various angles:
Projection  Envelope  Description 

Square  Top view. 

Pentagon  Side view. 

Pentagon  Diagonal side view. 
Coordinates
The Cartesian coordinates of the elongated square pyramid with edge length 2 are:
 (0, 0, 1+√2)
 (±1, ±1, ±1)