Cuboid

The cuboid or rectangular prism is a variant of the cube with 3 pairs of identical parallel rectangles as faces. All of its dihedral angles measure 90° and all cuboids are isogonal.

A cuboid with edges of length a, b, and c can be alternated into a rhombic disphenoid with edges of length $$\sqrt{a^2+b^2}$$, $$\sqrt{a^2+c^2}$$, and $$\sqrt{b^2+c^2}$$.

Vertex coordinates
A cuboid with edges of length a, b, and c has coordinates given by:


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