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- Torus abstract "In geometry, a torus (pl. tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a ring torus or simply torus if the ring shape is implicit.When the axis is tangent to the circle, the resulting surface is called a horn torus; when the axis is a chord of the circle, it is called a spindle torus. A degenerate case is when the axis is a diameter of the circle, which simply generates a 2-sphere. The ring torus bounds a solid known as a toroid. The adjective toroidal can be applied to tori, toroids or, more generally, any ring shape as in toroidal inductors and transformers. Real-world examples of (approximately) toroidal objects include doughnuts, vadais, inner tubes, bagels, many lifebuoys, O-rings and vortex rings.In topology, a ring torus is homeomorphic to the Cartesian product of two circles: S1 × S1, and the latter is taken to be the definition in that context. It is a compact 2-manifold of genus 1. The ring torus is one way to embed this space into three-dimensional Euclidean space, but another way to do this is the Cartesian product of the embedding of S1 in the plane. This produces a geometric object called the Clifford torus, surface in 4-space.The word torus comes from the Latin word meaning cushion.".
- Torus thumbnail Torus.png?width=300.
- Torus wikiPageExternalLink polydoes.html.
- Torus wikiPageExternalLink torus.
- Torus wikiPageExternalLink 4d-torus.html.
- Torus wikiPageExternalLink TorusGames.
- Torus wikiPageExternalLink ATpage.html.
- Torus wikiPageExternalLink tore.shtml.
- Torus wikiPageExternalLink RpmOverview.
- Torus wikiPageID "74800".
- Torus wikiPageRevisionID "604179618".
- Torus alt "horn".
- Torus alt "ring".
- Torus alt "spindle".
- Torus caption "Horn torus".
- Torus caption "Ring torus".
- Torus caption "Spindle torus".
- Torus direction "vertical".
- Torus footer "Bottom-halves and cross-sections of the three classes".
- Torus hasPhotoCollection Torus.
- Torus image "Standard_torus-horn.png".
- Torus image "Standard_torus-ring.png".
- Torus image "Standard_torus-spindle.png".
- Torus width "100".
- Torus subject Category:Surfaces.
- Torus comment "In geometry, a torus (pl. tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a ring torus or simply torus if the ring shape is implicit.When the axis is tangent to the circle, the resulting surface is called a horn torus; when the axis is a chord of the circle, it is called a spindle torus.".
- Torus label "Tore".
- Torus label "Toro (geometria)".
- Torus label "Toro (geometría)".
- Torus label "Toro (topologia)".
- Torus label "Torus (matematyka)".
- Torus label "Torus".
- Torus label "Torus".
- Torus label "Torus".
- Torus label "Тор (поверхность)".
- Torus label "طارة (رياضيات)".
- Torus label "トーラス".
- Torus label "环面".
- Torus sameAs Torus.
- Torus sameAs Torus.
- Torus sameAs Τόρος.
- Torus sameAs Toro_(geometría).
- Torus sameAs Toru.
- Torus sameAs Tore.
- Torus sameAs Torus.
- Torus sameAs Toro_(geometria).
- Torus sameAs トーラス.
- Torus sameAs 원환면.
- Torus sameAs Torus.
- Torus sameAs Torus_(matematyka).
- Torus sameAs Toro_(topologia).
- Torus sameAs m.0jy41.
- Torus sameAs Q12510.
- Torus sameAs Q12510.
- Torus wasDerivedFrom Torus?oldid=604179618.
- Torus depiction Torus.png.
- Torus isPrimaryTopicOf Torus.