Octagonal prism

The octagonal prism, or op, is a prismatic uniform polyhedron. It consists of 2 octagons and 8 squares. Each vertex joins one octagon and two squares. As the name suggests, it is a prism based on an octagon.

It can also be obtained from the small rhombicuboctahedron by removing two opposing square cupolas. It can therefore also be thought of as a bidiminished small rhombicuboctahedron.

Vertex coordinates
An octagonal prism of edge length 1 has vertex coordinates given by:
 * (±1/2, ±(1+$\sqrt{(5+2√2)/2}$)/2, ±1/2),
 * (±(1+$\sqrt{2}$)/2, ±1/2, ±1/2).

Related polyhedra
A square cupola can be attached to a base of the octagonal prism to form the elongated square cupola. If a second square cupola is attached to the other base in the same orientation, the result is the elongated square orthobicupola, better known as the small rhombicuboctahedron. If the second cupola is rotated 45º the result is the elongated square gyrobicupola.