What does "octachoron" mean?

A four-dimensional object analogous to a cube, constructed out of eight cubes.

What is a synonym for "octachoron"?

Common synonyms include: 4 cube, 4-cube, 8 cell, 8-cell, hypercube, hypercube.

Octachoron

noun

noun ·Rare ·Advanced level

Definitions

Noun

1
A four-dimensional object analogous to a cube, constructed out of eight cubes.
"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]."

Synonyms

All synonyms

4 cube 4-cube 8 cell 8-cell hypercube hypercube

Example

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]."

Etymology

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

Related phrases

four dimensional

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.