Visible regularity of form found in the natural world
Natural patterns form as wind blows sand in the dunes of the Namib Desert. The crescent shaped dunes and the ripples on their surfaces repeat wherever there are suitable conditions.Patterns of the veiled chameleon, Chamaeleo calyptratus, provide camouflage and signal mood as well as breeding condition.
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, Pythagoras and Empedocles attempting to explain order in nature. The modern understanding of visible patterns developed gradually over time.
In the 19th century, the Belgian physicist Joseph Plateau examined soap films, leading him to formulate the concept of a minimal surface. The German biologist and artist Ernst Haeckel painted hundreds of marine organisms to emphasise their symmetry. Scottish biologist D'Arcy Thompson pioneered the study of growth patterns in both plants and animals, showing that simple equations could explain spiral growth. In the 20th century, the British mathematician Alan Turing predicted mechanisms of morphogenesis which give rise to patterns of spots and stripes. The Hungarian biologist Aristid Lindenmayer and the French American mathematician Benoît Mandelbrot showed how the mathematics of fractals could create plant growth patterns.
Mathematics, physics and chemistry can explain patterns in nature at different levels and scales. Patterns in living things are explained by the biological processes of natural selection and sexual selection. Studies of pattern formation make use of computer models to simulate a wide range of patterns.
^Stevens 1974, p. 3.
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Patternsinnature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled...
has media related to Patterns. Wikiquote has quotations related to Pattern. Adam, John A. Mathematics inNature: Modeling Patternsin the Natural World....
describes how patternsinnature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state. The pattern arises due...
abstraction of nature's infinite complexity into patterns through the scientific process. It brings to light the similarity of patternsin our universe...
Nature is an inherent character or constitution, particularly of the ecosphere or the universe as a whole. In this general sense nature refers to the...
characteristically tessellate. Many patternsinnature are formed by cracks in sheets of materials. These patterns can be described by Gilbert tessellations...
such as financial markets, in some cases based on dubious fits to data. The golden ratio appears in some patternsinnature, including the spiral arrangement...
Spatiotemporal patterns are patterns that occur in a wide range of natural phenoma and are characterized by a spatial and temporal patterning. The general...
extend the concept of theoretical fractional dimensions to geometric patternsinnature. The word "fractal" often has different connotations for the lay public...
match up exactly when folded in half. Symmetry is one class of patternsinnature whereby there is near-repetition of the pattern element, either by reflection...
article that the English mathematician Alan Turing wrote in 1952. It describes how patternsinnature, such as stripes and spirals, can arise naturally from...
on a plant stem. Phyllotactic spirals form a distinctive class of patternsinnature. The basic arrangements of leaves on a stem are opposite and alternate...
resulting radial patterns by sprinkling various powdered materials onto the surface. By then pressing blank sheets of paper onto these patterns, Lichtenberg...
is a subtype of whorled patterns, a broad group that also includes concentric objects. Two major definitions of "spiral" in the American Heritage Dictionary...
boundary of the Mandelbrot set. Fractal curves and fractal patterns are widespread, innature, found in such places as broccoli, snowflakes, feet of geckos,...
element in some styles of architecture, such as Palladianism. Patternsinnature Point reflection symmetry Coxeter group theory of Reflection groups in Euclidean...
formed on the surface of paintings Patternsinnature#Cracks, the patterns formed by cracks of different types innature This disambiguation page lists articles...
coherent trajectory pattern for which the underlying LCS serves as a theoretical centerpiece. In observations of tracer patternsinnature, one readily identifies...
of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to...
Traditional Korean patterns are often featured throughout Korea on architecture, clothes, porcelain, necessities, and more. These patterns can be recognized...
of this allow for determining large-scale patternsinnature across various taxa.: 362 Mating patternsin hybrid zones can also be used to detect reinforcement...
(known in English as Art Forms inNature) is a book of lithographic and halftone prints by German biologist Ernst Haeckel. Originally published in sets...
so-called Turing patterns. These patterns occur at many scales of life, from cellular development (where they were first proposed) to pattern formation on...
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