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- Clifford_torus abstract "In geometric topology, the Clifford torus is a special kind of torus sitting inside R4, the Euclidean space of four dimensions. Alternatively, it can be seen as a torus sitting inside C2 since C2 is topologically equivalent to R4. Furthermore, every point of the Clifford torus lies at a fixed distance from the origin; therefore, it can also be viewed as sitting inside a 3-sphere.The Clifford torus is also known as a square torus, because it is isometric to a square with side length 2π and with opposite sides identified. It is further known as a Euclidean 2-torus (the "2" is its topological dimension); figures drawn on it obey Euclidean geometry as if it were flat, whereas the surface of a common "doughnut"-shaped torus is positively curved on the outer rim and negatively curved on the inner. The Clifford torus cannot exist in Euclidean three-dimensional space.".
- Clifford_torus thumbnail Clifford-torus.gif?width=300.
- Clifford_torus wikiPageID "7950934".
- Clifford_torus wikiPageLength "6536".
- Clifford_torus wikiPageOutDegree "29".
- Clifford_torus wikiPageRevisionID "674763793".
- Clifford_torus wikiPageWikiLink 3-sphere.
- Clifford_torus wikiPageWikiLink Category:Geometric_topology.
- Clifford_torus wikiPageWikiLink Doughnut.
- Clifford_torus wikiPageWikiLink Duocylinder.
- Clifford_torus wikiPageWikiLink Embedding.
- Clifford_torus wikiPageWikiLink Euclidean_geometry.
- Clifford_torus wikiPageWikiLink Euclidean_space.
- Clifford_torus wikiPageWikiLink Geometric_topology.
- Clifford_torus wikiPageWikiLink Group_action.
- Clifford_torus wikiPageWikiLink Heegaard_splitting.
- Clifford_torus wikiPageWikiLink Hopf_fibration.
- Clifford_torus wikiPageWikiLink Hsiangxe2x80x93Lawsons_conjecture.
- Clifford_torus wikiPageWikiLink Isometry.
- Clifford_torus wikiPageWikiLink Lagrangian_submanifold.
- Clifford_torus wikiPageWikiLink Metric_tensor.
- Clifford_torus wikiPageWikiLink Minimal_surface.
- Clifford_torus wikiPageWikiLink Orthogonal_group.
- Clifford_torus wikiPageWikiLink Orthogonal_transformation.
- Clifford_torus wikiPageWikiLink Simon_Brendle.
- Clifford_torus wikiPageWikiLink Solid_torus.
- Clifford_torus wikiPageWikiLink Square.
- Clifford_torus wikiPageWikiLink Square_(geometry).
- Clifford_torus wikiPageWikiLink Stereographic_projection.
- Clifford_torus wikiPageWikiLink Submanifold.
- Clifford_torus wikiPageWikiLink Symplectic_geometry.
- Clifford_torus wikiPageWikiLink Symplectic_manifold.
- Clifford_torus wikiPageWikiLink Torus.
- Clifford_torus wikiPageWikiLink Unit_circle.
- Clifford_torus wikiPageWikiLink File:Clifford-torus.gif.
- Clifford_torus wikiPageWikiLink File:TorusAsSquare.svg.
- Clifford_torus wikiPageWikiLinkText "Clifford torus".
- Clifford_torus wikiPageWikiLinkText "Clifford".
- Clifford_torus wikiPageWikiLinkText "clifford torus".
- Clifford_torus hasPhotoCollection Clifford_torus.
- Clifford_torus subject Category:Geometric_topology.
- Clifford_torus hypernym Kind.
- Clifford_torus comment "In geometric topology, the Clifford torus is a special kind of torus sitting inside R4, the Euclidean space of four dimensions. Alternatively, it can be seen as a torus sitting inside C2 since C2 is topologically equivalent to R4.".
- Clifford_torus label "Clifford torus".
- Clifford_torus sameAs Toro_de_Clifford.
- Clifford_torus sameAs m.026l5xy.
- Clifford_torus sameAs Toru_di_Clifford.
- Clifford_torus sameAs Cliffordov_torus.
- Clifford_torus sameAs Q5133090.
- Clifford_torus sameAs Q5133090.
- Clifford_torus wasDerivedFrom Clifford_torus?oldid=674763793.
- Clifford_torus depiction Clifford-torus.gif.
- Clifford_torus isPrimaryTopicOf Clifford_torus.