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  2. Torus - Wikipedia

    en.wikipedia.org/wiki/Torus

    Poloidal direction (red arrow) and toroidal direction (blue arrow) A torus of revolution in 3-space can be parametrized as: [2] (,) = (+ ⁡) ⁡ (,) = (+ ⁡) ⁡ (,) = ⁡. using angular coordinates , [,), representing rotation around the tube and rotation around the torus' axis of revolution, respectively, where the major radius is the distance from the center of the tube to the center of ...

  3. Torus (housing association) - Wikipedia

    en.wikipedia.org/wiki/Torus_(housing_association)

    Torus (officially Torus62 Ltd, a Community Benefit Society no 7973 [1]) is a housing association in North West England. Torus is the parent organisation of Liverpool Mutual Homes, Helena Partnerships (in St Helens ) and Golden Gates Housing Trust (in Warrington ).

  4. Clifford torus - Wikipedia

    en.wikipedia.org/wiki/Clifford_torus

    The Clifford torus is "flat": Every point has a neighborhood that can be flattened out onto a piece of the plane without distortion, unlike the standard torus of revolution. The Clifford torus divides the 3-sphere into two congruent solid tori. (In a stereographic projection, the Clifford torus appears as a standard torus of revolution. The ...

  5. Looking for a home in 2025? Check out these 10 housing ... - AOL

    www.aol.com/looking-home-2025-check-10-100021794...

    Buying a home in Boston-Cambridge-Newton area isn't exactly cheap, with home prices averaging $694,494, according to Zillow. That's more than $200,000 north of the national average home price of ...

  6. Get breaking Finance news and the latest business articles from AOL. From stock market news to jobs and real estate, it can all be found here.

  7. Toroid - Wikipedia

    en.wikipedia.org/wiki/Toroid

    A torus is a type of toroid. In mathematics, a toroid is a surface of revolution with a hole in the middle. The axis of revolution passes through the hole and so does not intersect the surface. [1] For example, when a rectangle is rotated around an axis parallel to one of its edges, then a hollow rectangle-section ring is produced.

  8. Algebraic torus - Wikipedia

    en.wikipedia.org/wiki/Algebraic_torus

    Given a rank n torus T over S, a twisted form is a torus over S for which there exists a fpqc covering of S for which their base extensions are isomorphic, i.e., it is a torus of the same rank. Isomorphism classes of twisted forms of a split torus are parametrized by nonabelian flat cohomology H 1 ( S , G L n ( Z ) ) {\displaystyle H^{1}(S,GL ...

  9. Solid torus - Wikipedia

    en.wikipedia.org/wiki/Solid_torus

    Solid torus. In mathematics, a solid torus is the topological space formed by sweeping a disk around a circle. [1] It is homeomorphic to the Cartesian product of the disk and the circle, [2] endowed with the product topology. A standard way to visualize a solid torus is as a toroid, embedded in 3-space.

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