In geometry of 4 dimensions or higher, a proprism is a polytope resulting from the Cartesian product of two or more polytopes, each of two dimensions or higher. The term was coined by John Horton Conway for product prism. The dimension of the space of a proprism equals the sum of the dimensions of all its product elements.
More specific terms duoprism and triaprism represent the Cartesian product of two or three polytopes respectively.
References
Proprism Wikipedia(Text) CC BY-SA