Double gyroantitegmoid

A double gyroantitegmoid is an isotopic polytope formed as the dual to a double gyroantiprismoid. The simplest non-trivial double gyroantitegmoid is the triangular double gyroantitegmod. They have the same symmetry as the corresponding duoantiprism, unlike the double antiprismoids, which have a distinct symmetry. A double gyroantitegmoid can also be formed as the convex hull of two ditetragoltriates where the bases are antialigned with each other.

In four dimensions, an n-gonal double gyroantitegmoid has 4n2 cells. If n > 2, each cell is a chiral digonal prismatic symmetrical polyhedron with 11 faces and 16 vertices, with 1 rectangular-symmetric octagon (which may turn into a tetrambus locally), 2 mirror-symmetric pentagons, and 8 kites as its faces. The digonal double gyroantitegmoid also exists but has a different cell shape, and in fact turns into an octagonal duoprism or an isotopic variant of it.