pentachoron
nounEtymology From penta- (“five”) + -choron (“4-dimensional solid”), from Ancient Greek πέντε (pénte, “five”) and χῶρος (khôros, “room”).
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Mathematics, Sciences A four-dimensional object analogous to a tetrahedron, constructed out of five tetrahedra.
- 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:
- 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:
1 more example
- 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
- Hypernyms
- polychoron