Decagonal-hexagonal antiprismatic duoprism

The decagonal-hexagonal antiprismatic duoprism or dahap is a convex uniform duoprism that consists of 10 hexagonal antiprismatic prisms, 2 hexagonal-decagonal duoprisms and 12 triangular-decagonal duoprisms. Each vertex joins 2 hexagonal antiprismatic prisms, 3 triangular-decagonal duoprisms, and 1 hexagonal-decagonal duoprism.

Vertex coordinates
The vertices of a decagonal-hexagonal antiprismatic duoprism of edge length 1 are given by:
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,±\frac12,\,±\frac{\sqrt3}2,\,\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,±1,\,0,\,\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,±\frac{\sqrt3}2,\,±\frac12,\,-\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,0,\,±1,\,-\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac12,\,±\frac{\sqrt3}2,\,\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±1,\,0,\,\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac{\sqrt3}2,\,±\frac12,\,-\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,0,\,±1,\,-\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac12,\,±\frac{\sqrt3}2,\,\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±1,\,0,\,\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac{\sqrt3}2,\,±\frac12,\,-\frac{\sqrt{\sqrt3-1}}2\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,0,\,±1,\,-\frac{\sqrt{\sqrt3-1}}2\right).$$

Representations
A decagonal-hexagonal antiprismatic duoprism has the following Coxeter diagrams:
 * x10o s2s12o (full symmetry; hexagonal antiprisms as alternated dodecagonal prisms)
 * x10o s2s6s (hexagonal antiprisms as alternated dihexagonal prisms)
 * x5x s2s12o (decagons as dipentagons)
 * x5x s2s6s