Catalan solid
Catalan solid noun: the dual polyhedron of any Archimedean solid.
Noun
Catalan solid (plural Catalan solids)
- The dual polyhedron of any Archimedean solid.
- These duals are also called Catalan solids, because Catalan was the first mathematician who described all of them, cf. Brückner (1900, p. 160). Some of the Catalan solids are much older, e.g., the rhombic dodecahedron, which plays a role in crystallography (cf. chapter 37), and the rhombic...1993, E. Heil, H. Martini, 1.11: Special convex bodies, P. M. Gruber, J. M> Wills (editors), Handbook of Convex Geometry, Volume A, page 352
- The set of thirteen such duals is historically designated the Catalan solids. Perhaps the most striking feature of a Catalan solid is that it is composed of just one kind of face that is not a regular polygon. A face of a Catalan solid can be simply constructed by the Dorman-Luke construction [3...2003, Rona Gurkewitz, Bennett Arnstein, Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality, page 4
- Synonyms:
- Archimedean dual
Examples of Catalan solid in a sentence
- The set of thirteen such duals is historically designated the Catalan solids.2003, Rona Gurkewitz, Bennett Arnstein, Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality, page 4:
- These numbers are ten times the corresponding numbers for the simplest Catalan solid.2009, Stephen M. Phillips, The Mathematical Connection Between Religion and Science, page 270:
Synonyms of Catalan solid
- Archimedean dual
Forms of Catalan solid
| plural | Catalan solids |
|---|
Origin of Catalan solid
From Catalan (“a surname”) + solid, named for Belgian mathematician Eugène Charles Catalan.
Questions about Catalan solid
- What does Catalan solid mean?
- Catalan solid means the dual polyhedron of any Archimedean solid.
- How do you use Catalan solid in a sentence?
- The set of thirteen such duals is historically designated the Catalan solids.
- What part of speech is Catalan solid?
- Catalan solid is a noun.
- What is the plural of Catalan solid?
- The plural of Catalan solid is Catalan solids.
Words near Catalan solid in the dictionary
Source and license
Adapted from Wiktionary: Catalan solid (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:
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