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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. 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 .

  4. 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 ...

  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. Lineation (geology) - Wikipedia

    en.wikipedia.org/wiki/Lineation_(geology)

    Intersection lineations are measured in relation to the two structures which intersect to form them. For instance, according to the measurement conventions of structural geology, original bedding, S 0 intersected by a fold's axial plane foliation, forms an intersection lineation L 0-1, with an azimuth and

  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

  8. Shape and form (visual arts) - Wikipedia

    en.wikipedia.org/wiki/Shape_and_form_(visual_arts)

    A form is an artist's way of using elements of art, principles of design, and media. Form, as an element of art, is three-dimensional and encloses space. Like a shape, a form has length and width, but it also has depth. Forms are either geometric or free-form, and can be symmetrical or asymmetrical.

  9. Texture (visual arts) - Wikipedia

    en.wikipedia.org/wiki/Texture_(visual_arts)

    In the visual arts, texture refers to the perceived surface quality of a work of art. It is an element found in both two-dimensional and three-dimensional designs, and it is characterized by its visual and physical properties. The use of texture, in conjunction with other design elements, can convey a wide range of messages and evoke various ...