Octagonal-decagonal duoprism

The octagonal-decagonal duoprism or odedip, also known as the 8-10 duoprism, is a uniform duoprism that consists of 8 decagonal prisms, 10 octagonal prisms and 80 vertices.

This polychoron can be alternated into a square-pentagonal duoantiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a pentagonal-square prismantiprismoid, which is also nonuniform.

Vertex coordinates
The vertices of an octagonal-decagonal duoprism of edge length 1, centered at the origin, are given by:
 * (±1/2, ±(1+$\sqrt{2+√2}$)/2, 0, ±(1+$\sqrt{(5+√5)/2}$)/2),
 * (±1/2, ±(1+$\sqrt{2}$)/2, ±$\sqrt{(5+√2+√5)/2}$/4, ±(3+$\sqrt{15+10√2+2√85+60√2}$)/4),
 * (±1/2, ±(1+$\sqrt{2}$)/2, ±$\sqrt{5}$/2, ±1/2),
 * (±(1+$\sqrt{2}$)/2, ±1/2, 0, ±(1+$\sqrt{10+2√5}$)/2),
 * (±(1+$\sqrt{5}$)/2, ±1/2, ±$\sqrt{2}$/4, ±(3+$\sqrt{5+2√5}$)/4),
 * (±(1+$\sqrt{2}$)/2, ±1/2, ±$\sqrt{5}$/2, ±1/2).