Triangular-decagrammic duoprism

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

Vertex coordinates
The coordinates of a triangular-decagrammic duoprism, centered at the origin and with unit edge length, are given by:
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}2\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{3-\sqrt5}4,\,±\sqrt{\frac{5-\sqrt5}8}\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{\sqrt5-1}2,\,0\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}2\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{3-\sqrt5}4,\,±\sqrt{\frac{5-\sqrt5}8}\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{\sqrt5-1}2,\,0\right).$$