Pattern

A pattern, from the French patron, is a type of theme of recurring events or objects, sometimes referred to as elements of a set of objects.

The elements of a pattern repeat in a predictable manner. Patterns can be based on a template or model which generates pattern elements, especially if the elements have enough in common for the underlying pattern to be inferred, in which case the things are said to exhibit the unique pattern. There are many different patterns in the world.

The most basic patterns, called Tessellations, are based on repetition and periodicity. In tessellation, a single template, tile, or cell is repeated without change or modification, usually in two dimensions to form a flat patterned surface.

Other patterns, such as Penrose tiling and Pongal or Kolam patterns from India, use symmetry which is a form of finite repetition, instead of translation which can repeat to infinity. Fractal patterns also use magnification or scaling giving an effect known as self-similarity or scale invariance. Some plants, like Ferns, generate a pattern using an affine transformation which combines translation, scaling, rotation and reflection.

A different kind of pattern generator is a simple harmonic oscillator, which produces repeated movements in time.

Pattern matching is the act of checking for the presence of the constituents of a pattern, whereas the detecting for underlying patterns is referred to as pattern recognition. The question of how a pattern emerges is accomplished through the work of the scientific field of pattern formation.

Pattern recognition is more complex when templates are used to generate variants. For example, in English, sentences often follow the "N-VP" (noun - verb phrase) pattern, but some knowledge of the English language is required to detect the pattern. Computer science, ethology, and psychology are fields which study patterns.

"A pattern has an integrity independent of the medium by virtue of which you have received the information that it exists. Each of the chemical elements is a pattern integrity. Each individual is a pattern integrity. The pattern integrity of the human individual is evolutionary and not static."
R. Buckminster Fuller (1895-1983), U.S.American philosopher and inventor, in Synergetics: Explorations in the Geometry of Thinking (1975), Pattern Integrity 505.201

Read more about Pattern:  Observable Patterns, Mathematics, Science

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Burmese Python - Captivity - Variations
... The Burmese python is frequently captive-bred for colour, pattern, and more recently size ... They are white with patterns in butterscotch yellow and burnt orange ... specimens, which have mazelike patterns khaki-coloured "green" and "granite", which have many small angular spots ...
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... In geology, a mineral's crystal structure expresses a recurring pattern ... Moving up to 3 dimensions, 32 patterns are possible ...

Famous quotes containing the word pattern:

    Put out the light, and then put out the light.
    If I quench thee, thou flaming minister,
    I can again thy former light restore
    Should I repent me; but once put out thy light,
    Thou cunning’st pattern of excelling nature,
    I know not where is that Promethean heat
    That can thy light relume.
    William Shakespeare (1564–1616)

    With only one life to live we can’t afford to live it only for itself. Somehow we must each for himself, find the way in which we can make our individual lives fit into the pattern of all the lives which surround it. We must establish our own relationships to the whole. And each must do it in his own way, using his own talents, relying on his own integrity and strength, climbing his own road to his own summit.
    Hortense Odlum (1892–?)

    For what is wedlock forcèd, but a hell,
    An age of discord and continual strife?
    Whereas the contrary bringeth bliss,
    And is a pattern of celestial peace.
    William Shakespeare (1564–1616)