Square-pentagrammic duoprism

The square-pentagrammic duoprism, also known as sistadip or the 4-5/2 duoprism, is a uniform duoprism that consists of 5 cubes and 4 pentagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a square-pentagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,\sqrt{\frac{5-2\sqrt5}{20}}\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac{\sqrt5-1}4,\,\sqrt{\frac{5+\sqrt5}{40}}\right),$$
 * $$\left(±\frac12,\,±\frac12,\,0,\,-\sqrt{\frac{5-\sqrt5}{10}}\right).$$

Representations
A square-pentagrammic duoprism has the following Coxeter diagrams:
 * x4o x5/2o (full symmetry)
 * x x x5/2o (H2×I×I symmetry, pentagrammic prismatic prism)