Antiditetragoltriate

An antiditetragoltriate is an isogonal polytope formed as the convex hull of two orthogonal duoprisms (made of similar but not congruent bases), but antialigned so that the lateral cells are rectangular pyramids and tetragonal disphenoids. They are related to the ditetragoltriates in the same way three-dimensional prisms are related to antiprisms. The simplest non-trivial antiditetragoltriate is the triangular antiditetragoltriate. The dual of a antiditetragoltriate is an antitetrambitriate. The vertex figure of a antiditetragoltriate in four dimensions is a biaugmented triangular prism.