Diacositetraconta-myriaheptachiliadiacosioctaconta-zetton

The diacositetraconta-myriaheptachiliadiacosioctaconta-zetton, abbreviated as 240-17280-zetton, also known as bay or the 241 polytope, is a uniform polyzetton. It's made out of 17280 octaexa and 240 pentacontahexa-pentacosiheptacontahexa-exa.

The diacositetraconta-myriaheptachiliadiacosioctaconta-zetton contains the vertices and edges of the truncated enneazetton, small cellated enneazetton, small biterioctadecazetton, trirectified diacosipentacontahexazetton, small petated demiocteract, pentacontahexahecatonicosihexaexic prism, triangular-rectified icosiheptaheptacontidipetic duoprism, hexagonal-pentacontatetrapetic duoprism, pentachoric-truncated pentachoric duoprism, rectified pentachoric-small rhombated pentachoric duoprism, small prismatodecachoric duoprism, square-birectified hexacontatetrapetic duoprism, octahedral-penteractitriacontiditeric duoprism, cuboctahedral-rectified triacontiditeric duoprism, hexadecachoric-rectified tesseractic duoprism, icositetrachoric duoprism, tetrahedral-small prismated demipenteractic duoprism, truncated tetrahedral-demipenteractic duoprism, small cellated octaexic prism, triangular-small prismated hexateric duoprismatic prism, hexagonal-dodecateric duoprismatic prism, triangular-triangular-triangular-hexagonal tetraprism, tesseractic-icositetrachoric duoprism, square-octahedral-cuboctahedral duoprism, and the octeract.

Coordinates
Coordinates for a 240-17280-zetton with edge length 1 are given by all permutations of all permutations of and all permutations and odd sign changes of
 * $$\left(±\sqrt2,\,0,\,0,\,0,\,0,\,0,\,0,\,0\right)$$,
 * $$\left(±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0,\,0,\,0,\,0\right)$$,
 * $$\left(\frac{3\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4}\right)$$.