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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 ]
The recursive nature of some patterns is obvious in certain examples—a branch from a tree or a frond from a fern is a miniature replica of the whole: not identical, but similar in nature. Similarly, random fractals have been used to describe/create many highly irregular real-world objects, such as coastlines and mountains.
Organic Abstraction is an artistic style characterized by "the use of rounded or wavy abstract forms based on what one finds in nature." [1] It takes its cues from rhythmic forms found in nature, both small scale, as in the structures of small-growth leaves and stems, and grand, as in the shapes of the universe that are revealed by astronomy and physics. [2]
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.
Approximations of this are found in nature Fibonacci spiral: circular arcs connecting the opposite corners of squares in the Fibonacci tiling: approximation of the golden spiral golden spiral = special case of the logarithmic spiral Spiral of Theodorus (also known as Pythagorean spiral)
Rocks formations and the Dedo de Deus (God's Finger) peak in the background, Serra dos Órgãos National Park, Rio de Janeiro state, Brazil Raouché or Pigeons' Rock in Beirut, Lebanon Druid Arch, Canyonlands National Park, Utah, US View of Meteora, Greece Rock formations in Ongamira Valley, Sierras de Córdoba, Argentina Belogradchik Rocks, Balkan Mountains, Bulgaria "Jaws", an erosional fin ...
The arms of spiral galaxies often have the shape of a logarithmic spiral, here the Whirlpool Galaxy Cutaway of a nautilus shell showing the chambers arranged in an approximately logarithmic spiral. The plotted spiral (dashed blue curve) is based on growth rate parameter b = 0.1759 {\displaystyle b=0.1759} , resulting in a pitch of arctan b ...
A so-called "cathedral" mound produced by a termite colony. Structures built by non-human animals, often called animal architecture, [1] are common in many species. Examples of animal structures include termite mounds, ant hills, wasp and beehives, burrow complexes, beaver dams, elaborate nests of birds, and webs of spiders.