Diacositetraconta-dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton

The diacositetraconta-dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton, or buffy, also called the rectified diacositetraconta-dischiliahecatonhexaconta-zetton or rectified 142 polytope, is a convex uniform polyzetton. It has 240 pentacontahexahecatonicosihexapentacosiheptacontahexaexoa, 2160 birectified hepteracts, and 17280 birectified octaexa. 5 pentacontahexahecatonicosihexapentacosiheptacontahexaexa, 3 birectified hepteracts, and 2 birectified octaexa join at each triangular-pentachoric duoprismatic prismatic vertex. It is the rectified diacositetraconta-dischiliahecatonhexaconta-zetton, the birectified diacositetraconta-myriaheptachiliadiacosioctaconta-zetton, and the quadrirectified dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton. It can therefore be considered in some ways to be a hybrid of the 3 main polytopes of E8 symmetry.