Square prism

The square prism, or squip, is a prism with a square base. The uniform square prism is simply the regular cube. If the edges of the base square and the side edges of the prism are different, the result is a semi-uniform polyhedron with 2 squares and 4 rectangles as faces.

A square prism with base edges of length a and side edges of length b can be alternated into a tetragonal disphenoid with base edges of length $$a\sqrt2$$ and side edges of length $$\sqrt{a^2+b^2}$$.

Vertex coordinates
A square prism with base edges of length a and side edges of length b has coordinates given by:


 * $$\left(±\frac{a}{2},\,±\frac{a}{2},\,±\frac{b}{2}\right).$$

In vertex figures
A square prism with base edges of length 1 and side edges of length $$\sqrt2$$ occurs as the vertex figure of the Euclidean rectified cubic honeycomb.