pentachoron

P3E1N1T1A1C3H4O1R1O1N1

noun

A four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra.

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Scrabble 18

Meanings

nounpentachoron (plural pentachorons or pentachora)

plural pentachorons · plural pentachora

  1. 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 356
    2 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 174

    The 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 7

    Synonyms: 5-cell

Synonyms & antonyms

nounA four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra.

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Origin

  1. Ancient Greekπέντε“five”
  2. Englishpentachoron

From penta- (“five”) + -choron (“4-dimensional solid”), from Ancient Greek πέντε (pénte, “five”) and χῶρος (khôros, “room”).

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
APA

pentachoron. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/pentachoron

MLA

“pentachoron.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/pentachoron. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “pentachoron,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/pentachoron.

Source: pentachoron on Wiktionary, CC BY-SA 4.0.