Octagonal trioprism

The octagonal trioprism or ottip is a convex uniform trioprism that consists of 24 octagonal duoprismatic prisms as facets. 6 facets join at each vertex.

This polypeton can be alternated into a square trioantiprism, although it cannot be made uniform. 8 of the octagons can also be alternated into long rectangles to create a square duoprismatic-square prismantiprismoid, 64 of the octagonal prisms can also be edge-alternated to create a square prismatic-square prismatic prismantiprismoid and 16 of the octagonal duoprisms can also be edge-alternated to create a square-square duoprismatic prismantiprismoid, which are nonuniform.

The octagonal trioprism can be vertex-inscribed into a small prismated hexeract.

Vertex coordinates
The vertices of an octagonal trioprism of edge length 1 are given by:
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac{1+\sqrt2}{2}\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2}\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac{1+\sqrt2}{2}\right),$$
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2}\right),$$
 * $$\left(±\frac{1+\sqt2}{2},\,±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac12\right).$$