Dictionary

octachoron en · NOUN

Pronunciation

• (US) audio

Etymology

From octa- (“eight”) + -choron (“room”), from Ancient Greek ὀκτά- (oktá-, “eight”) and χῶρος (khôros, “room”).

Meanings

1. A four-dimensional object analogous to a cube, constructed out of eight cubes.
   • ...completing the notation for the vertices of an elementary lattice octachoron. 2013, Paul Jennings, Frank Nijhoff, On an elliptic extension of the Kadomtsev-Petviashvili equation, page 4:
   • Our 16-point 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]. 2012, Yequn Zhang, Murat Arabaci, Ivan B. Djordjevic, Rate-Adaptive Four-Dimensional Nonbinary LDPC-Coded Modulation for Long-Haul Optical Transport Networks, page 3:
   • The Schlegel diagram from this figure is a projection of a regular octachoron from the 4-D space to the 3-D space through a point beyond one of its facets. 2013, Milorad Cvijetic, Ivan B. Djordjevic, Advanced Optical Communication Systems and Networks, page 357:

Forms

Synonyms

tesseract · 4-cube · hypercube · 8-cell

Translations (4)

it ipertetraedro (four-dimensional object) · fi 4-hyperkuutio (four-dimensional object) · eo okĉelo (four-dimensional object) · pl sześcian czterowymiarowy (four-dimensional object)