Octagonal duoprism

The octagonal duoprism or odip, also known as the octagonal-octagonal duoprism, the 8 duoprism or the 8-8 duoprism, is a noble uniform duoprism that consists of 16 octagonal prisms and 64 vertices. It is also the digonal double gyrotrapezohedroid and the 16-7 gyrochoron. Together with its dual, it is the first in an infinite family of octagonal dihedral swirlchora.

The octagonal duoprism can be vertex-inscribed into a small rhombated tesseract or small prismatotetracontoctachoron.

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

Vertex coordinates
Coordinates for the vertices of an octagonal duoprism of edge length 1, centered at the origin, are given by:
 * (±1/2, ±(1+$\sqrt{2+√2}$)/2, ±1/2, ±(1+$\sqrt{2}$)/2),
 * (±1/2, ±(1+$\sqrt{2+√2}$)/2, ±(1+$\sqrt{2}$)/2, ±1/2),
 * (±(1+$\sqrt{2}$)/2, ±1/2, ±1/2, ±(1+$\sqrt{2}$)/2),
 * (±1/2, ±(1+$\sqrt{2}$)/2), ±1/2, ±(1+$\sqrt{2}$)/2)).