Diacositetraconta-dischiliahecatonhexaconta-zetton

The diacositetraconta-dischiliahecatonhexaconta-zetton, abbreviated as 240-2160-zetton, also known as bif or the 142 polytope, is a convex uniform polyzetton. It consists of 2160 demihepteracts and 240 pentacontahexahecatonicosihexaexa, with 8 of each joining at each vertex forming a birectified octaexon as the vertex figure.

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

Related polyzetta
A diacositetracontadischiliahecatonhexacontazetton contains the vertices and edges of a small cellated diacosipentacontahexazetton, small cellidemiocteract, octadecazetton, teritruncated enneazetton, petiprismated enneazetton, birectified hecatonicosihexapentacosiheptacontihexaexic prism, hexagonal-rectified pentacontatetrapetic duoprism, triangular-small demiprismated icosiheptaheptacontidipetic duoprism, decachoric duoprism, rectified pentachoric-great rhombated pentachoric duoprism, prismatorhombated pentachoric-small rhombated pentachoric duoprism, square-small prismated hexacontatetrapetic duoprism, octahedral-small prismated triacontiditeric duoprism, cuboctahedral-small rhombated triacontiditeric duoprism, truncated octahedral-penteractitriacontiditeric duoprism, icositetrachoric-rectified icositetrachoric duoprism, tesseractic-rectified icositetrachoric duoprism, rectified tesseractic-truncated hexadecachoric duoprism, truncated tetrahedral-small rhombated demipenteractic duoprism, tetrahedral-great rhombated demipenteractic duoprism, hexagonal-cellirhombated dodecateric duoprismatic prism, triangular-prismatotruncated duoprismatic prism, and hexagonal tetraprism.