octachoron

English

Etymology

octa- (“eight”) +‎ -choron (“room”), from Ancient Greek ὀκτά- (oktá-, “eight”) and χώρος (khṓros, “room”).

Noun

octachoron (plural octachorons or octachora)

1. (mathematics) A four-dimensional object analogous to a cube, constructed out of eight cubes.
   • 2012, Yequn Zhang, Murat Arabaci, Ivan B. Djordjevic, Rate-Adaptive Four-Dimensional Nonbinary LDPC-Coded Modulation for Long-Haul Optical Transport Networks‎^[1], page 3:

     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].

   • 2013, Milorad Cvijetic, 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 4-D space to the 3-D space through a point beyond one of its facets.

   • 2013, Paul Jennings, Frank Nijhoff, On an elliptic extension of the Kadomtsev-Petviashvili equation‎^[2], page 4:

     ...completing the notation for the vertices of an elementary lattice octachoron.

Synonyms

• 4-cube
• 8-cell
• hypercube
• tesseract

Translations

four-dimensional object

• Esperanto: okĉelo
• Italian: ipertetraedro m