Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Rhombic_triacontahedron> ?p ?o }
- Rhombic_triacontahedron abstract "In geometry, the rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron. It is a zonohedron.The ratio of the long diagonal to the short diagonal of each face is exactly equal to the golden ratio, φ, so that the acute angles on each face measure 2 tan−1(1/φ) = tan−1(2), or approximately 63.43°. A rhombus so obtained is called a golden rhombus.Being the dual of an Archimedean solid, the rhombic triacontahedron is face-transitive, meaning the symmetry group of the solid acts transitively on the set of faces. This means that for any two faces, A and B, there is a rotation or reflection of the solid that leaves it occupying the same region of space while moving face A to face B.The rhombic triacontahedron is somewhat special in being one of the nine edge-transitive convex polyhedra, the others being the five Platonic solids, the cuboctahedron, the icosidodecahedron, and the rhombic dodecahedron.The rhombic triacontahedron is also interesting in that its vertices include the arrangement of four Platonic solids. It contains ten tetrahedra, five cubes, an icosahedron and a dodecahedron. The centers of the faces contain five octahedra.".
- Rhombic_triacontahedron thumbnail GoldenRhombus.svg?width=300.
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- Rhombic_triacontahedron wikiPageLength "9310".
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- Rhombic_triacontahedron wikiPageWikiLink 6-cube.
- Rhombic_triacontahedron wikiPageWikiLink Angle.
- Rhombic_triacontahedron wikiPageWikiLink Archimedean_solid.
- Rhombic_triacontahedron wikiPageWikiLink Cambridge_University_Press.
- Rhombic_triacontahedron wikiPageWikiLink Catalan_solid.
- Rhombic_triacontahedron wikiPageWikiLink Category:Catalan_solids.
- Rhombic_triacontahedron wikiPageWikiLink Category:Quasiregular_polyhedra.
- Rhombic_triacontahedron wikiPageWikiLink Category:Zonohedra.
- Rhombic_triacontahedron wikiPageWikiLink Chamfer_(geometry).
- Rhombic_triacontahedron wikiPageWikiLink Convex_hull.
- Rhombic_triacontahedron wikiPageWikiLink Convex_polytope.
- Rhombic_triacontahedron wikiPageWikiLink Coxeter_group.
- Rhombic_triacontahedron wikiPageWikiLink Cube.
- Rhombic_triacontahedron wikiPageWikiLink Cuboctahedron.
- Rhombic_triacontahedron wikiPageWikiLink Dice.
- Rhombic_triacontahedron wikiPageWikiLink Dodecahedron.
- Rhombic_triacontahedron wikiPageWikiLink Dual_polyhedron.
- Rhombic_triacontahedron wikiPageWikiLink Edge_(geometry).
- Rhombic_triacontahedron wikiPageWikiLink Elementary_school.
- Rhombic_triacontahedron wikiPageWikiLink Face_(geometry).
- Rhombic_triacontahedron wikiPageWikiLink Geometry.
- Rhombic_triacontahedron wikiPageWikiLink Golden_ratio.
- Rhombic_triacontahedron wikiPageWikiLink Golden_rhombus.
- Rhombic_triacontahedron wikiPageWikiLink Group_action.
- Rhombic_triacontahedron wikiPageWikiLink Icosahedron.
- Rhombic_triacontahedron wikiPageWikiLink Icosidodecahedron.
- Rhombic_triacontahedron wikiPageWikiLink Inscribed_sphere.
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- Rhombic_triacontahedron wikiPageWikiLink Octahedron.
- Rhombic_triacontahedron wikiPageWikiLink Platonic_solid.
- Rhombic_triacontahedron wikiPageWikiLink Radius.
- Rhombic_triacontahedron wikiPageWikiLink Reflection_(mathematics).
- Rhombic_triacontahedron wikiPageWikiLink Rhombic_dodecahedron.
- Rhombic_triacontahedron wikiPageWikiLink Rhombille_tiling.
- Rhombic_triacontahedron wikiPageWikiLink Rhombus.
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- Rhombic_triacontahedron wikiPageWikiLink Wolfram_Demonstrations_Project.
- Rhombic_triacontahedron wikiPageWikiLink Zonohedron.
- Rhombic_triacontahedron wikiPageWikiLink File:6Cube-QuasiCrystal.jpg.
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- Rhombic_triacontahedron wikiPageWikiLink File:RhombicTricontrahedron.png.
- Rhombic_triacontahedron wikiPageWikiLink File:Rhombic_hexecontahedron.png.
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- Rhombic_triacontahedron wikiPageWikiLink File:Rhombic_tricontahedron_icosahedron_dodecahedron.png.
- Rhombic_triacontahedron wikiPageWikiLink File:Spherical_rhombic_triacontahedron.png.
- Rhombic_triacontahedron wikiPageWikiLinkText "30-sided die".
- Rhombic_triacontahedron wikiPageWikiLinkText "Rhombic triacontahedron".
- Rhombic_triacontahedron wikiPageWikiLinkText "V3.5.3.5".
- Rhombic_triacontahedron wikiPageWikiLinkText "aD".
- Rhombic_triacontahedron wikiPageWikiLinkText "daD = jD".
- Rhombic_triacontahedron wikiPageWikiLinkText "rhombic triacontahedron".
- Rhombic_triacontahedron wikiPageWikiLinkText "thirty sided".
- Rhombic_triacontahedron title "Catalan solid".
- Rhombic_triacontahedron title "Rhombic triacontahedron".
- Rhombic_triacontahedron urlname "CatalanSolid".
- Rhombic_triacontahedron urlname "RhombicTriacontahedron".
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