orthoplex
orthoplex noun: a convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions).
Noun
orthoplex (plural orthoplexes)
- A convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions).
- We made use of another way of considering the 120 cells, starting with the eight at the vertices of an orthoplex, that is, in the cells of a hypercube.1990, Mathematica Journal, volumes 1-2, page 84
- It is remarkable that the four-dimensional orthoplex is the same polytope as the four-dimensional hemicube.1991, J. H. Conway, N. J. A. Sloane, “The Cell Structures of Certain Lattices”, in Peter Hilton, Friedrich Hirzebruch, Reinhold Remmert, editors, Miscellanea Mathematica, page 90
- Synonyms:
- cocube, cross-polytope, hyperoctahedron
Synonyms of orthoplex
- cocube
- cross-polytope
- hyperoctahedron
Forms of orthoplex
| plural | orthoplexes |
|---|
Origin of orthoplex
Coined in 1991 by John Horton Conway and Neil Sloane. Blend of orthant + complex, since it has one facet for each orthant.
Words formed from orthoplex
- 4-orthoplex
Questions about orthoplex
- What does orthoplex mean?
- Orthoplex means a convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions).
- What part of speech is orthoplex?
- Orthoplex is a noun.
- What is the plural of orthoplex?
- The plural of orthoplex is orthoplexes.
Words near orthoplex in the dictionary
Source and license
Adapted from Wiktionary: orthoplex (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:
Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Flame, not lame-orthoplex.wav.
Cite this entry: “orthoplex.” Word.ws, https://word.ws/orthoplex. Based on Wiktionary, CC BY-SA 4.0.