Prismantiprismoid

A double prismantiprismoid is an isogonal polytope with a structure composed of alternating prisms and antiprisms and are generally nonuniform. The simplest non-trivial prismantiprismoid is the digonal-square prismantiprismoid. The dual of a double antiprismoid is a tegmotrapezohedroid. All prismantiprismoids are edge-snub polytopes. They are also a special class of the duoprismatic prismantiprismatoswirlprisms, having only two polygonal rotations for each ring.

Unlike other duoprismatic families, the n-m prismantiprismoid is not equivalent to the m-n prismantiprismoid, meaning that the square-hexagonal prismantiprismoid and the hexagonal-square prismantiprismoid are not topologically the same polychoron, as the former has 6 rings of alternating square prisms and square antiprisms, while the latter has 4 rings of alternating hexagonal prisms and hexagonal antiprisms. Another additional restriction is that n must be an alternated polytope (such as a snub cube), while m must be an alternable polytope (such as a hexagonal prism).