Rectified diacositetraconta-myriaheptachiliadiacosioctaconta-zetton

The rectified diacositetraconta-myriaheptachiliadiacosioctaconta-zetton, or robay, also called the rectified 241 polytope, is a convex uniform polyzetton. It has 240 rectified pentacontahexapentacosiheptacontahexaexa, 2160 demihepteracts, and 17280 rectified octaexa. 7 rectified pentacontahexapentacosiheptacontahexaexon, 2 demihepteracts, and 7 rectified octaexa join at each rectified heptapetic prismatic vertex. As the name suggests, it is the rectification of the diacositetraconta-myriaheptachiliadiacosioctaconta-zetton.

Vertex coordinates
Coordinates for the vertices of a rectified diacositetraconta-myriaheptachiliadiacosioctaconta-zetton with edge length 1 are given by all permutations and sign changes of as well as all permutations and even sign changes of
 * $$\left(±\sqrt2,\,±\sqrt2,\,±\sqrt2,\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0,\,0,\,0\right),$$
 * $$\left(±\frac{3\sqrt2}{2},\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0,\,0\right),$$
 * $$\left(\frac{5\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4}\right),$$
 * $$\left(\sqrt2,\,\sqrt2,\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2}\right),$$
 * $$\left(\frac{7\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4}\right).$$