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  2. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .

  3. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics , tessellation can be generalized to higher dimensions and a variety of geometries.

  4. Hexagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_tiling

    In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t {3,6} (as a truncated triangular tiling).

  5. Pythagorean tiling - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tiling

    A Pythagorean tiling Street Musicians at the Door, Jacob Ochtervelt, 1665.As observed by Nelsen [1] the floor tiles in this painting are set in the Pythagorean tiling. A Pythagorean tiling or two squares tessellation is a tiling of a Euclidean plane by squares of two different sizes, in which each square touches four squares of the other size on its four sides.

  6. Conway criterion - Wikipedia

    en.wikipedia.org/wiki/Conway_criterion

    A tessellation of the above prototile meeting the Conway criterion. In the mathematical theory of tessellations , the Conway criterion , named for the English mathematician John Horton Conway , is a sufficient rule for when a prototile will tile the plane.

  7. Tessellation (computer graphics) - Wikipedia

    en.wikipedia.org/wiki/Tessellation_(computer...

    A simple tessellation pipeline rendering a smooth sphere from a crude cubic vertex set using a subdivision method. In computer graphics, tessellation is the dividing of datasets of polygons (sometimes called vertex sets) presenting objects in a scene into suitable structures for rendering.

  8. Miura fold - Wikipedia

    en.wikipedia.org/wiki/Miura_fold

    The crease patterns of the Miura fold form a tessellation of the surface by parallelograms. In one direction, the creases lie along straight lines, with each parallelogram forming the mirror reflection of its neighbor across each crease.

  9. List of tessellations - Wikipedia

    en.wikipedia.org/wiki/List_of_tessellations

    Hyperbolic; Article Vertex configuration Schläfli symbol Image Snub tetrapentagonal tiling: 3 2.4.3.5 : sr{5,4} Snub tetrahexagonal tiling: 3 2.4.3.6 : sr{6,4} Snub tetraheptagonal tiling

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