Ditetragoltriate

A ditetragoltriate is an isogonal polytope and a powertope formed by a polytope to the power of a ditetragon, which is equivalent to the convex hull of two orthogonal rings of prisms, i.e. of two duoprisms (made of similar but not congruent bases). In four dimensions, they are also swirlchora and the first member based on the n-gonal prisms. The simplest non-trivial ditetragoltriate is the triangular ditetragoltriate. The dual of a ditetragoltriate is a tetrambitriate. The vertex figure of a ditetragoltriate in four dimensions is a notch. If the base is alternable, then it can be alternated into a double antiprismoid, with simplexes filling the gaps left behind by the deleted vertices.

Special cases
In four dimensions, an n-gonal ditetragoltriate can have the least possible edge length difference if the ratio of the n-gons is equal to 1:1+$\sqrt{2}$sin(π/n). This ensures that the isosceles trapezoids have three equal edges.