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The dual polyhedron of any Archimedean solid.
Definition source: English Wiktionary via Wiktextract
Topics: geometry, mathematics, sciences
Examples
- 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, 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 triacontahedron, which is of some importance also in the theory of quasicrystals (cf. chapter 3.5).
Meaning relationships
Synonyms: none provided
Antonyms: none provided
From Catalan (“a surname”) + solid, named for Belgian mathematician Eugène Charles Catalan.
Across languages
Translations
11 source translations are retained for this English entry.
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Catalan:
sòlid de Catalan
— dual polyhedron of an Archimedean solid
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Catalan:
sòlid arquimedià dual
— dual polyhedron of an Archimedean solid
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Finnish:
Catalanin kappale
— dual polyhedron of an Archimedean solid
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Finnish:
Catalanin monitahokas
— dual polyhedron of an Archimedean solid
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Finnish:
Arkhimedeen duaali
— dual polyhedron of an Archimedean solid
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German:
catalanischer Körper
— dual polyhedron of an Archimedean solid
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German:
dual-archimedischer Körper
— dual polyhedron of an Archimedean solid
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Greek:
Καταλανικό στερεό
(Katalanikó stereó)
— dual polyhedron of an Archimedean solid
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Italian:
solido di Catalan
— dual polyhedron of an Archimedean solid
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Italian:
solido archimedeo duale
— dual polyhedron of an Archimedean solid
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Polish:
wielościan Catalana
— dual polyhedron of an Archimedean solid