Decagrammic duoprism

The decagrammic duoprism or stadidip, also known as the decagrammic-decagrammic duoprism, the 10/3 duoprism or the 10/3-10/3 duoprism, is a noble uniform duoprism that consists of 20 decagrammic prisms, with 4 meeting at each vertex.

A unit decagrammic duoprism can be vertex-inscribed into a grand ditetrahedronary hexacosidishecatonicosachoron.

Vertex coordinates
The coordinates of a decagrammic duoprism, centered at the origin and with unit edge length, are given by:


 * $$\left(±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}{2},\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}{2}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}{2},\,±\frac{3-\sqrt5}{4},\,±\sqrt{\frac{5-\sqrt5}{8}}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}{2},\,±\frac{\sqrt5-1}{2},\,0\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\sqrt{\frac{5-\sqrt5}{8}},\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}{2}\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\sqrt{\frac{5-\sqrt5}{8}},\,±\frac{3-\sqrt5}{4},\,±\sqrt{\frac{5-\sqrt5}{8}}\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\sqrt{\frac{5-\sqrt5}{8}},\,±\frac{\sqrt5-1}{2},\,0\right),$$
 * $$\left(±\frac{\sqrt5-1}{2},\,0,\,±\frac12,\,±\frac{\sqrt{5-2\sqrt5}}{2}\right),$$
 * $$\left(±\frac{\sqrt5-1}{2},\,0,\,±\frac{3-\sqrt5}{4},\,±\sqrt{\frac{5-\sqrt5}{8}}\right),$$
 * $$\left(±\frac{\sqrt5-1}{2},\,0,\,±\frac{\sqrt5-1}{2},\,0\right).$$