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 duoprisms (made of similar but not congruent bases). 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.