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Fractal art developed from the mid-1980s onwards. [2] It is a genre of computer art and digital art which are part of new media art. The mathematical beauty of fractals lies at the intersection of generative art and computer art. They combine to produce a type of abstract art. Fractal art (especially in the western world) is rarely drawn or ...
In mathematics, a fractal is a geometric shape containing detailed ... This number is called the fractal dimension of the ... Liu, Huajie; Fractal Art ...
Mathematics and art are related in a variety of ways. Mathematics has itself been described as an art motivated by beauty. Mathematics can be discerned in arts such as music, dance, painting, architecture, sculpture, and textiles. This article focuses, however, on mathematics in the visual arts. Mathematics and art have a long historical ...
[1] [3] In the fractal chapters, the topics include self-similarity, exponentiation, and logarithms, and fractal dimension. Beyond this mathematical material, the book also describes methods for artists to depict scenes in perspective, and for viewers of art to understand the perspectives in the artworks they see, [ 1 ] for instance by finding ...
Fractal expressionism is used to distinguish fractal art generated directly by artists from fractal art generated using mathematics and/or computers. [1] Fractals are patterns that repeat at increasingly fine scales and are prevalent in natural scenery (examples include clouds, rivers, and mountains). [ 2 ]
In Ian Stewart's 2001 book Flatterland, there is a character called the Mandelblot, who helps explain fractals to the characters and reader. [ 52 ] The unfinished Alan Moore 1990 comic book series Big Numbers used Mandelbrot's work on fractal geometry and chaos theory to underpin the structure of that work.
Fractal model of a fern illustrating self-similarity. Mathematics is sometimes called the "Science of Pattern", in the sense of rules that can be applied wherever needed. [22] For example, any sequence of numbers that may be modeled by a mathematical function can be considered a pattern. Mathematics can be taught as a collection of patterns. [23]
By this definition, fractals made by a fractal program are not art, as humans are not involved. However, defined differently, algorithmic art can be seen to include fractal art, as well as other varieties such as those using genetic algorithms. The artist Kerry Mitchell stated in his 1999 Fractal Art Manifesto: [9] [2] [10]