The science of pattern formation deals with the visible, (statistically) orderly outcomes of self-organisation and the common principles behind similar patterns. // Order may refer to: Religious Holy Orders, the rite or sacrament in which clergy are ordained The monastic orders, originating with Anthony the Great and Benedict of Nursia from circa 300 the military orders of the crusades the various chivalric orders established since the 14th century Honors Order (decoration) Legal... Self-organization refers to a process in which the internal organization of a system, normally an open system, increases automatically without being guided or managed by an outside source. ... For the martial arts related meaning of Pattern see Tae Kwon Do and Kata (Karate). ...

Examples

Chemistry

• Belousov-Zhabotinsky reaction
• Liesegang rings

A Belousov-Zhabotinsky reaction, or BZ reaction, is one of a class of reactions that result in the establishment of a nonlinear chemical oscillator. ...

Physics

Bénard cells, Laser, cloud formations in stripes or rolls Bénard cells are obtained in a simple experiment that Bénard, a French physicist, conducted in 1900. ... Lasers range in size from microscopic diode lasers (top) with numerous applications, to football field sized neodymium glass lasers (bottom) used for inertial confinement fusion, nuclear weapons research and other physics experiments. ...

Biology

segmentation of animals, phyllotaxis, neuronal activation patterns like tonotopy, Predator-prey equations' trajectories Segmentation is a general term for the division or partition of something into separate pieces or segments. ... In botany, phyllotaxis is the arrangement of the leaves on the shoot of a plant. ... Tonotopy (from greek tono- and topos = place: the place of tones) is the spatial arrangement of where sound is perceived, transmitted, or received. ... The Lotka-Volterra equations, also known as the predator-prey equations, are a pair of first order, non-linear, differential equations frequently used to describe the dynamics of biological systems in which two species interact, one a predator and one its prey. ...