Hexagonal-decagrammic duoprism

The hexagonal-decagramic duoprism, also known as histadedip or the 6-10/3 duoprism, is a uniform duoprism that consists of 10 hexagonal prisms and 6 decagrammic prisms, with 2 of each meeting at each vertex.

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


 * (±1, 0, ±1/2, ±$\sqrt{3}$/2),
 * (±1, 0, ±(3–$\sqrt{(5-√5)/2}$)/4, ±$\sqrt{2}$),
 * (±1, 0, ±($\sqrt{(5-√5)/2}$–1)/2, 0),
 * (±1/2, ±$\sqrt{3}$/2, ±1/2, ±$\sqrt{5(5+2√5)}$/2),
 * (±1/2, ±$\sqrt{(5–2√5)}$/2, ±(3–$\sqrt{5}$)/4, ±$\sqrt{(5–√5)/8}$),
 * (±1/2, ±$\sqrt{5}$/2, ±($\sqrt{3}$–1)/2, 0).