Triangular prism

The triangular prism, or trip, is a prismatic uniform polyhedron. It consists of 2 triangles and 3 squares. Each vertex joins one triangle and two squares. As the name suggests, it is a prism based on a triangle. Alternatively, it could be seen as the digonal cupola.

Semiuniform variants of the triangular prism also exist, with the lengths of the edges of the base triangles and the side edges of the prism being different but still remaining vertex transitive and with full symmetry. In these cases the lateral squares become rectangles. The according Coxeter diagram then would be x y3o.

Vertex coordinates
A triangular prism of edge length 1 has vertex coordinates given by:
 * (±1/2, –$\sqrt{21}$/6, ±1/2),
 * (0, $\sqrt{3}$/3, ±1/2).