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- Archimedean_solid abstract "In geometry, an Archimedean solid is a highly symmetric, semi-regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices. They are distinct from the Platonic solids, which are composed of only one type of polygon meeting in identical vertices, and from the Johnson solids, whose regular polygonal faces do not meet in identical vertices."Identical vertices" are usually taken to mean that for any two vertices, there must be an isometry of the entire solid that takes one vertex to the other. Sometimes it is instead only required that the faces that meet at one vertex are related isometrically to the faces that meet at the other. This difference in definitions controls whether the elongated square gyrobicupola is considered an Archimedean solid or a Johnson solid: it is the unique convex polyhedron that has regular polygons meeting in the same way at each vertex, but that does not have a global symmetry taking every vertex to every other vertex. Based on its existence, Branko Grünbaum (2009) has suggested a terminological distinction in which an Archimedean solid is defined as having the same vertex figure at each vertex (including the elongated square gyrobicupola) while a uniform polyhedron is defined as having each vertex symmetric to each other vertex (excluding the gyrobicupola).Prisms and antiprisms, whose symmetry groups are the dihedral groups, are generally not considered to be Archimedean solids, despite meeting the above definition. With this restriction, there are only finitely many Archimedean solids. All but the elongated square gyrobicupola can be made via Wythoff constructions from the Platonic solids with tetrahedral, octahedral and icosahedral symmetry.".
- Archimedean_solid thumbnail Small_rhombicosidodecahedron.png?width=300.
- Archimedean_solid wikiPageExternalLink ArchimedeanSolids.
- Archimedean_solid wikiPageExternalLink Convex.htm.
- Archimedean_solid wikiPageExternalLink solids.html.
- Archimedean_solid wikiPageExternalLink intro.html.
- Archimedean_solid wikiPageExternalLink vp.html.
- Archimedean_solid wikiPageExternalLink cuadros.php?type=a.
- Archimedean_solid wikiPageExternalLink unipoly.
- Archimedean_solid wikiPageExternalLink www.polyedergarten.de.
- Archimedean_solid wikiPageExternalLink Archimedean.php.
- Archimedean_solid wikiPageExternalLink Stella.php.
- Archimedean_solid wikiPageID "1847".
- Archimedean_solid wikiPageRevisionID "595035572".
- Archimedean_solid authorlink "Branko Grünbaum".
- Archimedean_solid first "Branko".
- Archimedean_solid hasPhotoCollection Archimedean_solid.
- Archimedean_solid last "Grünbaum".
- Archimedean_solid title "Archimedean solid".
- Archimedean_solid urlname "ArchimedeanSolid".
- Archimedean_solid year "2009".
- Archimedean_solid subject Category:Archimedean_solids.
- Archimedean_solid type ArchimedeanSolids.
- Archimedean_solid type Matter100020827.
- Archimedean_solid type PhysicalEntity100001930.
- Archimedean_solid type Solid115046900.
- Archimedean_solid comment "In geometry, an Archimedean solid is a highly symmetric, semi-regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices.".
- Archimedean_solid label "Archimedean solid".
- Archimedean_solid label "Archimedisch lichaam".
- Archimedean_solid label "Archimedischer Körper".
- Archimedean_solid label "Solide d'Archimède".
- Archimedean_solid label "Solido archimedeo".
- Archimedean_solid label "Sólido de Arquimedes".
- Archimedean_solid label "Sólidos arquimedianos".
- Archimedean_solid label "Wielościan półforemny".
- Archimedean_solid label "صلب أرخميدي".
- Archimedean_solid label "半正多面体".
- Archimedean_solid label "阿基米德立體".
- Archimedean_solid sameAs Archimédovské_těleso.
- Archimedean_solid sameAs Archimedischer_Körper.
- Archimedean_solid sameAs Στερεό_του_Αρχιμήδη.
- Archimedean_solid sameAs Sólidos_arquimedianos.
- Archimedean_solid sameAs Arkimedesen_solido.
- Archimedean_solid sameAs Solide_d'Archimède.
- Archimedean_solid sameAs Solido_archimedeo.
- Archimedean_solid sameAs 半正多面体.
- Archimedean_solid sameAs 아르키메데스의_다면체.
- Archimedean_solid sameAs Archimedisch_lichaam.
- Archimedean_solid sameAs Wielościan_półforemny.
- Archimedean_solid sameAs Sólido_de_Arquimedes.
- Archimedean_solid sameAs m.0tpc.
- Archimedean_solid sameAs Q213486.
- Archimedean_solid sameAs Q213486.
- Archimedean_solid sameAs Archimedean_solid.
- Archimedean_solid wasDerivedFrom Archimedean_solid?oldid=595035572.
- Archimedean_solid depiction Small_rhombicosidodecahedron.png.
- Archimedean_solid isPrimaryTopicOf Archimedean_solid.
