Diacositetracontadiminished diacositetraconta-myriaheptachiliadiacosioctaconta-zetton

The diacositetracontadiminished diacositetraconta-myriaheptachiliadiacosioctaconta-zetton, abbreviated as 240-diminished 240-17280-zetton, is a convex scaliform polyzetton. It has 1920, 240 demihepteracts and 240 as facets. 8, 8 demihepteracts, and 14 meet each vertex.

One can create this polyzetton by removing an inscribed 2160-17280-zetton's vertices from a 240-17280-zetton.

Vertex coordinates
The vertices of a diacositetracontadiminished diacositetraconta-myriaheptachiliadiacosioctaconta-zetton of edge length 1, centered at the origin, are given by:


 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,±1,\,0,\,0,\,0\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,0,\,±1,\,0,\,0\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,0,\,0,\,±1,\,0\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,0,\,0,\,0,\,±1\right),$$


 * $$\left(±\frac12,\,±\frac12,\,±1,\,0,\,±\frac12,\,±\frac12,\,0,\,0\right),$$
 * $$\left(±\frac12,\,±\frac12,\,0,\,±1,\,±\frac12,\,±\frac12,\,0,\,0\right),$$
 * $$\left(±\frac12,\,±\frac12,\,0,\,0,\,±\frac12,\,±\frac12,\,±1,\,0\right),$$
 * $$\left(±\frac12,\,±\frac12,\,0,\,0,\,±\frac12,\,±\frac12,\,0,\,±1\right),$$


 * $$\left(±1,\,0,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,0,\,0\right),$$
 * $$\left(0,\,±1,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,0,\,0\right),$$
 * $$\left(0,\,0,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,±1,\,0\right),$$
 * $$\left(0,\,0,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12,\,0,\,±1\right),$$


 * $$\left(±\frac12,\,±1,\,±\frac12,\,0,\,±\frac12,\,0,\,±\frac12,\,0\right),$$
 * $$\left(±\frac12,\,0,\,±\frac12,\,±1,\,±\frac12,\,0,\,±\frac12,\,0\right),$$
 * $$\left(±\frac12,\,0,\,±\frac12,\,0,\,±\frac12,\,±1,\,±\frac12,\,0\right),$$
 * $$\left(±\frac12,\,0,\,±\frac12,\,0,\,±\frac12,\,0,\,±\frac12,\,±1\right),$$


 * $$\left(±1,\,±\frac12,\,0,\,±\frac12,\,±\frac12,\,0,\,±\frac12,\,0\right),$$
 * $$\left(0,\,±\frac12,\,±1,\,±\frac12,\,±\frac12,\,0,\,±\frac12,\,0\right),$$
 * $$\left(0,\,±\frac12,\,0,\,±\frac12,\,±\frac12,\,±1,\,±\frac12,\,0\right),$$
 * $$\left(0,\,±\frac12,\,0,\,±\frac12,\,±\frac12,\,0,\,±\frac12,\,±1\right),$$


 * $$\left(±1,\,±\frac12,\,±\frac12,\,0,\,0,\,±\frac12,\,±\frac12,\,0\right),$$
 * $$\left(0,\,±\frac12,\,±\frac12,\,±1,\,0,\,±\frac12,\,±\frac12,\,0\right),$$
 * $$\left(0,\,±\frac12,\,±\frac12,\,0,\,±1,\,±\frac12,\,±\frac12,\,0\right),$$
 * $$\left(0,\,±\frac12,\,±\frac12,\,0,\,0,\,±\frac12,\,±\frac12,\,±1\right),$$


 * $$\left(±\frac12,\,±1,\,0,\,±\frac12,\,0,\,±\frac12,\,±\frac12,\,0\right),$$
 * $$\left(±\frac12,\,0,\,±1,\,±\frac12,\,0,\,±\frac12,\,±\frac12,\,0\right),$$
 * $$\left(±\frac12,\,0,\,0,\,±\frac12,\,±1,\,±\frac12,\,±\frac12,\,0\right),$$
 * $$\left(±\frac12,\,0,\,0,\,±\frac12,\,0,\,±\frac12,\,±\frac12,\,±1\right),$$


 * $$\left(±1,\,±\frac12,\,±\frac12,\,0,\,±\frac12,\,0,\,0,\,±\frac12\right),$$
 * $$\left(0,\,±\frac12,\,±\frac12,\,±1,\,±\frac12,\,0,\,0,\,±\frac12\right),$$
 * $$\left(0,\,±\frac12,\,±\frac12,\,0,\,±\frac12,\,±1,\,0,\,±\frac12\right),$$
 * $$\left(0,\,±\frac12,\,±\frac12,\,0,\,±\frac12,\,0,\,±1,\,±\frac12\right),$$


 * $$\left(±\frac12,\,±1,\,0,\,±\frac12,\,±\frac12,\,0,\,0,\,±\frac12\right),$$
 * $$\left(±\frac12,\,0,\,±1,\,±\frac12,\,±\frac12,\,0,\,0,\,±\frac12\right),$$
 * $$\left(±\frac12,\,0,\,0,\,±\frac12,\,±\frac12,\,±1,\,0,\,±\frac12\right),$$
 * $$\left(±\frac12,\,0,\,0,\,±\frac12,\,±\frac12,\,0,\,±1,\,±\frac12\right),$$


 * $$\left(±\frac12,\,±1,\,±\frac12,\,0,\,0,\,±\frac12,\,0,\,±\frac12\right),$$
 * $$\left(±\frac12,\,0,\,±\frac12,\,±1,\,0,\,±\frac12,\,0,\,±\frac12\right),$$
 * $$\left(±\frac12,\,0,\,±\frac12,\,0,\,±1,\,±\frac12,\,0,\,±\frac12\right),$$
 * $$\left(±\frac12,\,0,\,±\frac12,\,0,\,0,\,±\frac12,\,±1,\,±\frac12\right),$$


 * $$\left(±1,\,±\frac12,\,0,\,±\frac12,\,0,\,±\frac12,\,0,\,±\frac12\right),$$
 * $$\left(0,\,±\frac12,\,±1,\,±\frac12,\,0,\,±\frac12,\,0,\,±\frac12\right),$$
 * $$\left(0,\,±\frac12,\,0,\,±\frac12,\,±1,\,±\frac12,\,0,\,±\frac12\right),$$
 * $$\left(0,\,±\frac12,\,0,\,±\frac12,\,0,\,±\frac12,\,±1,\,±\frac12\right),$$


 * $$\left(±\frac12,\,±\frac12,\,±1,\,0,\,0,\,0,\,±\frac12,\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac12,\,0,\,±1,\,0,\,0,\,±\frac12,\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac12,\,0,\,0,\,±1,\,0,\,±\frac12,\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac12,\,0,\,0,\,0,\,±1,\,±\frac12,\,±\frac12\right),$$


 * $$\left(±1,\,0,\,±\frac12,\,±\frac12,\,0,\,0,\,±\frac12,\,±\frac12\right),$$
 * $$\left(0,\,±1,\,±\frac12,\,±\frac12,\,0,\,0,\,±\frac12,\,±\frac12\right),$$
 * $$\left(0,\,0,\,±\frac12,\,±\frac12,\,±1,\,0,\,±\frac12,\,±\frac12\right),$$
 * $$\left(0,\,0,\,±\frac12,\,±\frac12,\,0,\,±1,\,±\frac12,\,±\frac12\right),$$


 * $$\left(±1,\,0,\,0,\,0,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12\right),$$
 * $$\left(0,\,±1,\,0,\,0,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12\right),$$
 * $$\left(0,\,0,\,±1,\,0,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12\right),$$
 * $$\left(0,\,0,\,0,\,±1,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac12\right),$$


 * $$\left(\frac12,\,\frac12,\,\frac12,\,\frac12,\,\frac12,\,\frac12,\,\frac12,\,\frac12\right)$$ and all odd sign changes.