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  2. Foliation - Wikipedia

    en.wikipedia.org/wiki/Foliation

    2-dimensional section of Reeb foliation 3-dimensional model of Reeb foliation. In mathematics (differential geometry), a foliation is an equivalence relation on an n-manifold, the equivalence classes being connected, injectively immersed submanifolds, all of the same dimension p, modeled on the decomposition of the real coordinate space R n into the cosets x + R p of the standardly embedded ...

  3. Multifoil arch - Wikipedia

    en.wikipedia.org/wiki/Multifoil_arch

    Multifoil arch in the Aljafería, Zaragoza, Spain. A multifoil arch (or polyfoil arch), also known as a cusped arch, [1] [2] polylobed arch, [3] [4] or scalloped arch, [5] is an arch characterized by multiple circular arcs or leaf shapes (called foils, lobes, or cusps) that are cut into its interior profile or intrados.

  4. Reeb foliation - Wikipedia

    en.wikipedia.org/wiki/Reeb_foliation

    In mathematics, the Reeb foliation is a particular foliation of the 3-sphere, introduced by the French mathematician Georges Reeb (1920–1993). It is based on dividing the sphere into two solid tori , along a 2- torus : see Clifford torus .

  5. Distribution (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/Distribution_(differential...

    In other words, every point admits a foliation chart, i.e. the distribution is tangent to the leaves of a foliation. Moreover, this local characterisation coincides with the definition of integrability for a G {\displaystyle G} -structures , when G {\displaystyle G} is the group of real invertible upper-triangular block matrices (with ( n × n ...

  6. Novikov's compact leaf theorem - Wikipedia

    en.wikipedia.org/wiki/Novikov's_compact_leaf_theorem

    The leaf is a torus T 2 bounding a solid torus with the Reeb foliation. The theorem was proved by Sergei Novikov in 1964. Earlier, Charles Ehresmann had conjectured that every smooth codimension-one foliation on S 3 had a compact leaf, which was known to be true for all known examples; in particular, the Reeb foliation has a compact leaf that ...

  7. Category:Non-free images of three-dimensional art - Wikipedia

    en.wikipedia.org/wiki/Category:Non-free_images...

    File:'For Connie' by Charles Christopher Hill, 1974, Honolulu Museum of Art, accession 4943.1.JPG File:'Forearmed', mixed media --Assemblage (art)-assemblage-- by Alfonso A. Ossorio, 1967.jpg File:'Forms in Space, Number 1', stainless steel and copper sculpture by John Storrs (American 1885-1956), 1927, Metropolitan Museum of Art.jpg

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