Dictionary

pentachoron en · NOUN

Pronunciation

• (US) audio

Etymology

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

Meanings

1. A 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:
   • 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:
   • 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:

Forms

Hypernyms

polychoron

Synonyms

5-cell

Translations (13)

it ipertetraedro (four-dimensional object) · pt pentácoro (four-dimensional object) · fr pentatope (four-dimensional object) · eo kvinĉelo (four-dimensional object) · es pentatopo (four-dimensional object) · fi viisisolu (four-dimensional object) · ja 正五胞体 (four-dimensional object) · fr pentachore (four-dimensional object) · de Pentachoron (four-dimensional object) · it pentacoro (four-dimensional object) · es pentácoro (four-dimensional object) · pl pięciościan czterowymiarowy (four-dimensional object) · es pentácoron (four-dimensional object)