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__FORCETOC__ Math art is typically the pursuit of mathematically inclined individuals with a particular interest in the visualization of mathematical objects and relationships. Some math art is rather literal such as, for example, functions graphed with a computer application such as Mathematica. More often practitioners strive for a highly estheticized presentation, and occasionally the mathematical origins of the work may only be suggestive or metaphorical. There is a significant math art subculture that draws mainly from academics as well as mathematicians and engineers working in industry. The math art subculture tends to be somewhat insular and not directly engaged in mainstream art-world or generative art community discourse. Math art works are frequently generative or borderline generative. It's worth noting that artists outside of the math art genre have frequently used mathematics as the basis for everything from perspective drawing to conceptual art. == Generative Systems == <SPAN STYLE="font-size: larger;">For Creating Math Art</SPAN> <br><br> [[Symmetry & regular patterns]] and [[Tiling theory]] <br> :Mathematicians study symmetry, patterns, and tiling in a formalized manner. Math artists frequently apply or visualize such notions in a highly estheticized manner to create their works. It should be remembered that symmetry, patterns, and tiling are also found in the oldest forms of folk art making generative art as old as art itself. <br> [[Numerical series]] and [[The golden section & Fibonocci series]] <br> :Interrelated numerical series and corresponding geometries have long inspired visual artists, and similarly related pitch series form the basis of harmonic relationships in music. When used as autonomous systems they can be used by math artists and others to create generative art <br> [[Fractals]] and [[L-systems]] <br> :The infinitely recursive nature and fractional dimension of fractals and L-systems make them an object of fascination for many math artists. Fractals are also related to notions from chaos and complexity theory, and are of practical value for computer graphics and CGI in filmmaking. <br> <SPAN STYLE="font-size: larger;"><u>Also These Mathematically-Based Methods</u></SPAN> [[Catastrophe theory]] <br> :While somewhat obscure and currently virtually unused in generative art, Catastrophe theory has deep roots in the field of topology, and great potential for the modeling of systems which exhibit dramatic changes even though driven by slowly changing continuous parameters. Applications might include the simulation of "fight or flight" behaviors, structural collapse under a slowly increasing load, etc. <br> [[Chance operations & probability theory]], [[Notes for artists using random numbers]], [[Noise & random number generators]] <br> :The formal bases for concepts from probability, statistics, and the study of stochastic processes are deeply mathematical. While chance operations are seldom found in math art, they are a mainstay of generative art in general. <br> <SPAN STYLE="font-size: larger;"><u>Selected Links</u></SPAN> :Algorithmic Botany - the definitive L-system website - [http://algorithmicbotany.org/ click here] :Fracint - an open source fractal making software application - [http://spanky.triumf.ca/www/fractint/fractint.html click here] :Fractint L-Systems Tutorial - for the above application - [http://spanky.triumf.ca/www/fractint/lsys/tutor.html click here] <br> == Artists == <SPAN STYLE="font-size: larger;">Who Create Math Art</SPAN> <br><br> [[M. C. Esher]] <br> :While he had no formal mathematical training and did his work before the emergence of math art, M. C. Esher is something of an icon in the math art community <br> <SPAN STYLE="font-size: larger;"><u> Selected Links</u></SPAN> <br><br> == Organizations, Exhibits, Conferences, Publications == <SPAN STYLE="font-size: larger;">Selected Links</SPAN> <br><br> :Bridges - an annual math art conference - [http://www.bridgesmathart.org/ click here] :Math and Art - a math art wiki - [http://mathforum.org/mathandart/index.php/Main_Page click here] :Math Art Links - for a large number of math artists and exhibitions - [http://www.mi.sanu.ac.yu/vismath/mart.htm click here] :SIGMAA-ARTS - math art special interest group of the Mathematical Association of America - [http://myweb.cwpost.liu.edu/aburns/sigmaa-arts/index.html click here] :Visual Mathematics - Art and Science Electronic Journal of ISIS-Symmetry - [http://members.tripod.com/vismath/ click here] [[Category:Genres that use Mapping / transforms / hysteresis]] [[Category:Genres that use Symmetry & regular patterns]] [[Category:Genres that use Tiling theory]] [[Category:Genres that use Numerical series]] [[Category:Genres that use The golden section & fibonocci series]] [[Category:Genres that use Iterative construction]] [[Category:Genres that use Fractals]] [[Category:Genres that use L-systems]]
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