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  2. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. [ 1] Early Greek philosophers studied pattern, with Plato ...

  3. Turing pattern - Wikipedia

    en.wikipedia.org/wiki/Turing_pattern

    The Turing pattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis" which describes how patterns in nature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state. [ 1][ 2] The pattern arises due to Turing instability which in ...

  4. 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. A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular ...

  5. Pattern - Wikipedia

    en.wikipedia.org/wiki/Pattern

    Pattern. A pattern is a regularity in the world, in human-made design, [ 1] or in abstract ideas. As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.

  6. Species distribution - Wikipedia

    en.wikipedia.org/wiki/Species_distribution

    Species distribution, or species dispersion, [ 1] is the manner in which a biological taxon is spatially arranged. [ 2] The geographic limits of a particular taxon's distribution is its range, often represented as shaded areas on a map. Patterns of distribution change depending on the scale at which they are viewed, from the arrangement of ...

  7. Logarithmic spiral - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_spiral

    A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. The first to describe a logarithmic spiral was Albrecht Dürer (1525) who called it an "eternal line" ("ewige Linie"). [ 1][ 2] More than a century later, the curve was discussed by Descartes (1638), and later extensively ...

  8. Symmetry in biology - Wikipedia

    en.wikipedia.org/wiki/Symmetry_in_biology

    Symmetry is one class of patterns in nature whereby there is near-repetition of the pattern element, either by reflection or rotation. While sponges and placozoans represent two groups of animals which do not show any symmetry (i.e. are asymmetrical), the body plans of most multicellular organisms exhibit, and are defined by, some form of symmetry.

  9. Phyllotaxis - Wikipedia

    en.wikipedia.org/wiki/Phyllotaxis

    Phyllotaxis. Crisscrossing spirals of Aloe polyphylla. In botany, phyllotaxis (from Ancient Greek φύλλον (phúllon) 'leaf' and τάξις (táxis) 'arrangement') [ 1] or phyllotaxy is the arrangement of leaves on a plant stem. Phyllotactic spirals form a distinctive class of patterns in nature .