Antitegum

A trapezohedron (also sometimes called an antitegum) is a polyhedron constructed as the dual of an antiprism. An n-gonal trapezohedron generally has 2n kites as faces. The trigonal trapezohderon is a variant of the cube.

As there is no consistent analog in higher dimensions to the 3D antiprisms, there is similarly no general generalization of trapezohedra either.