Decagonal antiprismatic prism

The decagonal antiprismatic prism or dappip is a prismatic uniform polychoron that consists of 2 decagonal antiprisms, 2 decagonal prisms, and 20 triangular prisms. Each vertex joins 1 decagonal antiprism, 1 decagonal prism, and 3 triangular prisms. As the name suggests, it is a prism based on a decagonal antiprism. It is also a CRF segmentochoron designated K-4.96 on Richard Klitzing's list.

Vertex coordinates
The vertices of a decagonal antiprismatic prism of edge length 1 are given by: where $$H = \sqrt{\frac{-4-2\sqrt5+\sqrt{50+22\sqrt5}}8}$$ is the distance between the antiprism's center and the center of one of its bases.
 * $$\left(±\frac12,\,±\frac{\sqrt{5+2\sqrt5}}2,\,H,\,±\frac12\right),$$
 * $$\left(±\frac{3+\sqrt5}4,\,±\sqrt{\frac{5+\sqrt5}8},\,H,\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt5}2,\,0,\,H,\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,-H,\,±\frac12\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,-H,\,±\frac12\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,-H,\,±\frac12\right),$$

Representations
A decagonal antiprismatic prism has the following Coxeter diagrams:
 * x2s2s20o (full symmetry)
 * x2s2s10s
 * xx xo10ox&#x (decagonal prism atop gyrated decagonal prism)