Digonal-hexagonal prismantiprismoid

The digonal-hexagonal prismantiprismoid or dihipap, also known as the edge-snub digonal-hexagonal duoprism or 2-6 prismantiprismoid, is a convex isogonal polychoron that consists of 4 ditrigonal trapezoprisms, 6 tetragonal disphenoids, and 12 wedges. 1 tetragonal disphenoid, 2 ditrigonal trapezoprisms, and 3 wedges join at each vertex. It can be obtained through the process of alternating one class of edges of the square-dodecagonal duoprism so that the dodecagons become ditrigons. However, it cannot be made uniform.

Vertex coordinates
The vertices of a digonal-hexagonal prismantiprismid based on a square-dodecagonal duoprism of edge length 1, centered at the origin, rae given by:


 * $$\left(0,\,±\frac{\sqrt2}{2},\,±\frac12,\,\frac{2+\sqrt3}{2}\right),$$
 * $$\left(0,\±\frac{\sqrt2}{2},\,±\frac{2+\sqrt3}{2},\,-\frac12\right),$$
 * $$\left(0,\,±\frac{\sqrt2}{2},\,±\frac{1+\sqrt3}{2},\,-\frac{1+\sqrt3}{2}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,±\frac12,\,-\frac{2+\sqrt3}{2}\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,±\frac{2+\sqrt3}{2},\,\frac12\right),$$
 * $$\left(±\frac{\sqrt2}{2},\,0,\,±\frac{1+\sqrt3}{2},\,\frac{1+\sqrt3}{2}\right).$$