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  2. Genus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Genus_(mathematics)

    The genus of a 3-dimensional handlebody is an integer representing the maximum number of cuttings along embedded disks without rendering the resultant manifold disconnected. It is equal to the number of handles on it. For instance: A ball has genus 0. A solid torus D 2 × S 1 has genus 1.

  3. Genus g surface - Wikipedia

    en.wikipedia.org/wiki/Genus_g_surface

    The term triple torus is also occasionally used to denote a genus 3 surface. [7] [5] The Klein quartic is a compact Riemann surface of genus 3 with the highest possible order automorphism group for compact Riemann surfaces of genus 3. It has 168 orientation-preserving automorphisms, and 336 automorphisms altogether. Several genus 3 surfaces

  4. Heegaard splitting - Wikipedia

    en.wikipedia.org/wiki/Heegaard_splitting

    All have a standard splitting of genus one. This is the image of the Clifford torus in under the quotient map used to define the lens space in question. It follows from the structure of the mapping class group of the two-torus that only lens spaces have splittings of genus one. Three-torus

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    The movie ticket company Fandango is reaching the digital streaming market too with the Vudu app, a movie app that offers rentals, purchases and free movies for streaming. Powered by ads, Vudu ...

  6. The best movies to watch in 2023 and when they come out - AOL

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    In theaters on Feb. 3 Sally Field, Jane Fonda, Lily Tomlin and Rita Moreno star as four women with a burning love for NFL superstar Tom Brady , embarking on a trip to see him play in the Super Bowl.

  7. Watch These 2023 Movies If You Want Something Weird - AOL

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  8. 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 θ, φ ∈ [0, 2π), representing rotation around the tube and rotation around the torus's axis of revolution, respectively, where the major radius R is the distance from the center of the tube to ...

  9. 3-torus - Wikipedia

    en.wikipedia.org/wiki/3-torus

    A view from inside a 3-torus. All of the cubes in the image are the same cube, since light in the manifold wraps around into closed loops. The three-dimensional torus , or 3-torus , is defined as any topological space that is homeomorphic to the Cartesian product of three circles, T 3 = S 1 × S 1 × S 1 . {\displaystyle \mathbb {T} ^{3}=S^{1 ...

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