EnglishEdit
EtymologyEdit
octa (“eight”) + choron (“room”), from Ancient Greek ὀκτά (oktá, “eight”) and χώρος (khṓros, “room”).
NounEdit
octachoron (plural octachorons or octachora)
 (mathematics) A fourdimensional object equivalent to a cube, constructed out of eight cubes.
 2012, Yequn Zhang, Murat Arabaci, and Ivan B. Djordjevic, RateAdaptive FourDimensional Nonbinary LDPCCoded Modulation for LongHaul Optical Transport Networks, page 3:
 Our 16point 4D constellation is described by the set {(±1,±1,±1,±1)}, which is indeed the set of vertices of a tesseract (i.e., a regular octachoron) [4].
 2013, Milorad Cvijetic and Ivan B. Djordjevic, Advanced Optical Communication Systems and Networks, page 357:
 The Schlegel diagram from this figure is a projection of a regular octachoron from the 4D space to the 3D space through a point beyond one of its facets.
 2013, Paul Jennings and Frank Nijhoff, On an elliptic extension of the KadomtsevPetviashvili equation, page 4:
 ...completing the notation for the vertices of an elementary lattice octachoron.
 2012, Yequn Zhang, Murat Arabaci, and Ivan B. Djordjevic, RateAdaptive FourDimensional Nonbinary LDPCCoded Modulation for LongHaul Optical Transport Networks, page 3:
SynonymsEdit
TranslationsEdit
fourdimensional object

