Square-decagrammic duoprism

The square-decagrammic duoprism, also known as sistadedip or the 4-10/3 duoprism, is a uniform duoprism that consists of 10 cubes and 4 decagrammic prisms, with 2 of each at each vertex.

Vertex coordinates
The coordinates of a square-decagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}2\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac{3-\sqrt5}4,\,±\sqrt{\frac{5-\sqrt5}8}\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac{\sqrt5-1}2,\,0\right).$$

Representations
A square-decagrammic duoprism has the following Coxeter diagrams:
 * x4o x10/3o (full symmetry)
 * x x x10/3o (I2(10)×A1×A1 symmetry, decagrammic prismatic prism)