Meanings
plural pentachorons · plural pentachora
- mathematicsA four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra.
Geometrically, K₃ relates to a triangle, K₄ a tetrahedron, K₅ a pentachoron, etc.
2008, Prabhakar Gupta et al., Design and Analysis of Algorithms, page 3562 more examples
A triangle becomes a tetrahedron (a type of pyramid), then a pentachoron (a hyperpyramid).
2008, George Musser, The Complete Idiot's Guide to String Theory, page 174The tetrahedron is a 3-simplex whose 4-simplex analog is the pentachoron, a four-dimensional body which can be orphographically ^([sic]) projected onto a quincrux (as well as a pentagram and other shapes).
2013, Caspar Henderson, The Book of Barely Imagined Beings, page 7Synonyms: 5-cell
Synonyms & antonyms
nounA four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra.
Origin
- Ancient Greekπέντε“five”
- Englishpentachoron
From penta- (“five”) + -choron (“4-dimensional solid”), from Ancient Greek πέντε (pénte, “five”) and χῶρος (khôros, “room”).
More words from Ancient Greek
Full word history & related roots →Translations
Esperanto kvinĉelo
- kvinĉelofour-dimensional object
Finnish viisisolu
- viisisolufour-dimensional object
French pentachore, pentatope
- pentachorefour-dimensional object
- pentatopefour-dimensional object
German Pentachoron
- Pentachoronfour-dimensional object
Italian ipertetraedro, pentacoro
- ipertetraedrofour-dimensional object
- pentacorofour-dimensional object
Japanese 正五胞体
- 正五胞体 (seigohōtai)four-dimensional object
Polish pięciościan czterowymiarowy
- pięciościan czterowymiarowyfour-dimensional object
Portuguese pentácoro
- pentácorofour-dimensional object
Spanish pentácoro, pentácoron
- pentácorofour-dimensional object
- pentácoronfour-dimensional object
- pentatopofour-dimensional object
Rhymes & wordplay
Anagrams
Cite this entry
pentachoron. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/pentachoron
“pentachoron.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/pentachoron. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “pentachoron,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/pentachoron.
Source: pentachoron on Wiktionary, CC BY-SA 4.0.