Word.ws English Dictionary

24-cell

/twɛntiˈfoʊɹˌsɛl/

24-cell noun: a four-dimensional polytope whose twenty-four bounding facets are octahedra and which has no three-dimensional analogue.

24-cell: a four-dimensional polytope whose twenty-four bounding facets are octahedra and which has no...
Image: Tomruen, CC BY-SA 3.0, via Wikimedia Commons

Noun

24-cell (plural 24-cells)

  1. A four-dimensional polytope whose twenty-four bounding facets are octahedra and which has no three-dimensional analogue.
    • The octagonal projection of the regular 24-cell {3,4,3} reveals that the 24 vertices of this 4-dimensional polytope can be distributed as 16 + 8: the 16 vertices of the 4-cube γ₄ = {4,3,3} and the 8 vertices of its dual, the 16-cell β₄ = {3,3,4}. This view of the 24-cell is less well-known than the...1995, Harold Scott Macdonald Coxeter, “Paper Three: Two Aspects of the Regular 24-Cell in Four Dimensions”, in F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Iviċ Weiss, editors...
    • One more example of a four dimensional tessellation is given using the 24-cell, see Fig 2.2002, T. Robbin, Formian for art and mathematics, G. A. R. Parke, P. Disney (editors), Space Structures 5, Proceedings of the 5th International Conference on Space Structures, Volume 1, page 445
    Synonyms:
    hyper-diamond, icositetrachoron, octacube, octaplex, polyoctahedron

Examples of 24-cell in a sentence

  • This view of the 24-cell is less well-known than the dodecagonal projection, in which the β₄ appears as two squares of different sizes joined by 8 equilateral triangles.1995, Harold Scott Macdonald Coxeter, “Paper Three: Two Aspects of the Regular 24-Cell in Four Dimensions”, in F. Arthur Sherk, Peter...
  • The regular polytope with Schläfli symbol {3,4,3}, the so-called 24-cell, can be obtained from the 16-cell as follows.2002, Gabor Toth, Glimpses of Algebra and Geometry, 2nd edition, page 385:

Synonyms of 24-cell

Forms of 24-cell

plural24-cells

Origin of 24-cell

From 24 + cell.

Questions about 24-cell

What does 24-cell mean?
24-cell means a four-dimensional polytope whose twenty-four bounding facets are octahedra and which has no three-dimensional analogue.
How do you use 24-cell in a sentence?
This view of the 24-cell is less well-known than the dodecagonal projection, in which the β₄ appears as two squares of different sizes joined by 8 equilateral triangles.
What part of speech is 24-cell?
24-cell is a noun.
How do you pronounce 24-cell?
24-cell is pronounced /twɛntiˈfoʊɹˌsɛl/.
What is the plural of 24-cell?
The plural of 24-cell is 24-cells.

Words near 24-cell in the dictionary

  1. 23rd
  2. 24 Sussex
  3. 24 Sussex Drive
  4. 24 Sussex Street
  5. 24-7
  6. 24-cell
  7. 24-cells
  8. 24-gon
  9. 24-gons
  10. 24-hour clock
  11. 24-hour clocks

Source and license

Adapted from Wiktionary: 24-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: “24-cell.” Word.ws, https://word.ws/24-cell. Based on Wiktionary, CC BY-SA 4.0.