Meanings
plural octachorons · plural octachora
- mathematicsA 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 42 more examples
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 3The 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
Synonyms & antonyms
nounA four-dimensional object analogous to a cube, constructed out of eight cubes.
Origin
- Ancient Greekὀκτά-“eight”
- Englishoctachoron
From octa- (“eight”) + -choron (“room”), from Ancient Greek ὀκτά- (oktá-, “eight”) and χῶρος (khôros, “room”).
More words from Ancient Greek
Full word history & related roots →Translations
Esperanto okĉelo
- okĉelofour-dimensional object
Finnish 4-hyperkuutio
- 4-hyperkuutiofour-dimensional object
Italian ipertetraedro
- ipertetraedrofour-dimensional object
Polish sześcian czterowymiarowy
- sześcian czterowymiarowyfour-dimensional object
Cite this entry
octachoron. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/octachoron
“octachoron.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/octachoron. Accessed November 5, 2026.
WatkinsX Dictionary, s.v. “octachoron,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/octachoron.
Source: octachoron on Wiktionary, CC BY-SA 4.0.