5-cell
/ˈfaɪvˌsɛl/
5-cell noun: a four-dimensional polytope, analogous to a tetrahedron, whose five bounding facets are tetrahedra.

Noun
5-cell (plural 5-cells)
- A four-dimensional polytope, analogous to a tetrahedron, whose five bounding facets are tetrahedra.
- In every vertex of the 5-cell, 8-cell and 120-cell there are 4 concurring edges; in every vertex of the 24-cell, 8 edges.1896, American Journal of Mathematics, page 181
- For example, a 5-cell is bounded by five three-dimensional tetrahedra, an 8-cell by eight cubes, etc., the 5-cell and the 24-cell being duals of each other (the points correspond to spaces and lines to planes).1988, L. A. Sidorov, “Confuguration”, in Unnamed, transl., edited by Michiel Hazewinkel, Encyclopaedia of Mathematics: An updated and annotated translation of the Soviet ‘Mathematical Encyclopaedia’...
- Synonyms:
- 4-simplex, pentachoron, pentahedroid, pentatope, tetrahedral pyramid
Synonyms of 5-cell
- 4-simplex
- pentachoron
- pentahedroid
- pentatope
- tetrahedral pyramid
Forms of 5-cell
| plural | 5-cells |
|---|
Origin of 5-cell
From 5 + cell.
Questions about 5-cell
- What does 5-cell mean?
- 5-cell means a four-dimensional polytope, analogous to a tetrahedron, whose five bounding facets are tetrahedra.
- What part of speech is 5-cell?
- 5-cell is a noun.
- How do you pronounce 5-cell?
- 5-cell is pronounced /ˈfaɪvˌsɛl/.
- What is the plural of 5-cell?
- The plural of 5-cell is 5-cells.
Words near 5-cell in the dictionary
Source and license
Adapted from Wiktionary: 5-cell (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “5-cell.” Word.ws, https://word.ws/5-cell. Based on Wiktionary, CC BY-SA 4.0.
