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  2. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    A real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons. Such tilings may be decorative patterns , or may have functions such as providing durable and water-resistant pavement , floor, or wall coverings.

  3. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. [1] Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature. The modern understanding of visible patterns developed gradually over time.

  4. Tessellation (computer graphics) - Wikipedia

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

    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. Especially for real-time rendering , data is tessellated into triangles , for example in OpenGL 4.0 and Direct3D 11 .

  5. 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 .

  6. 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).

  7. Day and Night (M. C. Escher) - Wikipedia

    en.wikipedia.org/wiki/Day_and_Night_(M._C._Escher)

    The woodcut depicts a landscape mirrored horizontally with respect to the center of the image. It has two cities, each with an associated river and an interlocking pattern of birds gradually appearing towards the top of the image making a tessellation. These birds appear from the tiles of the landscape and become more detailed towards the ...

  8. Tesseractic honeycomb - Wikipedia

    en.wikipedia.org/wiki/Tesseractic_honeycomb

    The tesseract can make a regular tessellation of 4-dimensional hyperbolic space, with 5 tesseracts around each face, with Schläfli symbol {4,3,3,5}, called an order-5 tesseractic honeycomb. The Ammann–Beenker tiling is an aperiodic tiling in 2 dimensions obtained by cut-and-project on the tesseractic honeycomb along an eightfold rotational ...

  9. Rhombic dodecahedral honeycomb - Wikipedia

    en.wikipedia.org/wiki/Rhombic_dodecahedral_honeycomb

    The trapezo-rhombic dodecahedral honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It consists of copies of a single cell, the trapezo-rhombic dodecahedron . It is similar to the higher symmetric rhombic dodecahedral honeycomb which has all 12 faces as rhombi.