A rotatope is a shape constructed from the Cartesian product of multiple hyperballs. This includes the hypercubes (as the products of multiple line segments), hyperballs, intermediate shapes that can be considered as higher-dimensional analogues of the cylinder, and hyperball products with no lower-dimensional analogies like the cyclosphere. If hyperspheres are also allowed in the Cartesian products, then a larger class of polytopes known as toratopes can be constructed. The following is a list of rotatopes, organized by their representation in toratopic notation as written by Bowers