Prismatic uniform 4-polytope

A cubic prism, {4,3}×{}, is a lower symmetry construction of the regular tesseract, {4,3,3}, as a prism of two parallel cubes, as seen in this Schlegel diagram

In four-dimensional geometry, a prismatic uniform 4-polytope is a uniform 4-polytope with a nonconnected Coxeter diagram symmetry group.[citation needed] These figures are analogous to the set of prisms and antiprism uniform polyhedra, but add a third category called duoprisms, constructed as a product of two regular polygons.

The prismatic uniform 4-polytopes consist of two infinite families:

  • Polyhedral prisms: products of a line segment and a uniform polyhedron. This family is infinite because it includes prisms built on 3-dimensional prisms and antiprisms.
  • Duoprisms: product of two regular polygons.