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Line 27: \| next link= L6a5 }} In [[mathematics]], the '''Borromean rings'''~~{{efn\|Named after the [[:File:Coat of arms of the House of Borromeo.svg\|coat of arms of the Borromeo family]] in 15th-century [[Lombardy]].}}~~ consist of three [[topological]] [[circle]]s which are [[link (knot theory)\|linked]] but where removing any one ring leaves the other two unconnected. In other words, no two of the three rings are linked with each other as a [[Hopf link]], but nonetheless all three are linked. The Borommean rings are one of a class of such links called [[Brunnian link]]<nowiki/>s. <nowiki/>[[File:Borromean rings.webm\|thumb\|Borromean rings]] Line 55 ⟶ 58: The Borromean rings are a [[hyperbolic link]]: the complement of the Borromean rings in the 3-sphere admits a complete [[Hyperbolic 3-manifold\|hyperbolic]] metric of finite volume. The canonical (Epstein-Penner) polyhedral decomposition of the complement consists of two [[regular polyhedron\|regular]] [[ideal polyhedron\|ideal]] [[octahedron\|octahedra]]. The [[hyperbolic volume (knot)\|volume]] is 16Л(π/4) = 7.32772… where Л is the [[Lobachevsky function]].<ref>{{Citation \|author=William Thurston\|authorlink=William Thurston \|date=March 2002 \|title=The Geometry and Topology of Three-Manifolds \|url=http://library.msri.org/books/gt3m/ \|chapter=7. Computation of volume \|chapterurl=http://library.msri.org/books/gt3m/PDF/7.pdf \|page=165}}</ref> ==Name and history== ~~==History==~~ [[File:Sacrificial scene on Hammars - Valknut.png\|thumb\|left\|upright\|{{lang\|non\|[[Valknut]]}} on [[Stora Hammars stones\|Stora Hammars I stone]]]]

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