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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 ]
Peter Randall-Page RA (born 1954) is a British artist and sculptor, known for his stone sculpture work, inspired by geometric patterns from nature. [1] In his words "geometry is the theme on which nature plays his infinite variations, fundamental mathematical principle become a kind of pattern book from which nature constructs the most complex and sophisticated structures".
George William Hart (born 1955) [1] is an American sculptor and geometer. Before retiring, he was an associate professor of Electrical Engineering at Columbia University in New York City and then an interdepartmental research professor at Stony Brook University. His work includes both academic and artistic approaches to mathematics.
Patterned ground is the distinct and often symmetrical natural pattern of geometric shapes formed by the deformation of ground material in periglacial regions. It is typically found in remote regions of the Arctic , Antarctica , and the Outback in Australia , but is also found anywhere that freezing and thawing of soil alternate; patterned ...
Rhythm of Structure is a multimedia interdisciplinary project founded in 2003. It features a series of exhibitions, performances, and academic projects that explore the interconnecting structures and process of mathematics and art, and language, as way to advance a movement of mathematical expression across the arts, across creative collaborative communities celebrating the rhythm and patterns ...
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.
Starting in the 1950s Benoit Mandelbrot and others have studied self-similarity of fractal curves, and have applied theory of fractals to modelling natural phenomena.Self-similarity occurs, and analysis of these patterns has found fractal curves in such diverse fields as economics, fluid mechanics, geomorphology, human physiology and linguistics.
Willowtwist, an aluminium sculpture by Charles Jencks. The Garden of Cosmic Speculation is a 30 acre (12 hectare) sculpture garden created by landscape architect and theorist Charles Jencks and his wife, Maggie Keswick Jencks, on Maggie's land and their home together, Portrack House, in Dumfriesshire, Scotland.