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Math ImageryThe connection between mathematics and art goes back thousands of years. Mathematics has been used in the design of Gothic cathedrals, Rose windows, oriental rugs, mosaics and tilings. Geometric forms were fundamental to the cubists and many abstract expressionists, and award-winning sculptors have used topology as the basis for their pieces. Dutch artist M.C. Escher represented infinity, Möbius bands, tessellations, deformations, reflections, Platonic solids, spirals, symmetry, and the hyperbolic plane in his works.

Mathematicians and artists continue to create stunning works in all media and to explore the visualization of mathematics--origami, computer-generated landscapes, tesselations, fractals, anamorphic art, and more.

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"Eifiona," by Tina OloyedeTina Oloyede left her profession as a medical doctor to become a self-taught fractal artist, a passion and obsession since 1999. Residing in England, she balances her artistic activity with the care of her young family. She is actually one of the most versatile and publicly-appreciated fractal artists. For this picture she used 13 different formulas: 7 for building the basic structure of the image, 3 for adding different textures, and another 3 for controlling the coloring of the image. The name of the picture, "Eifiona," is the Welsh name of a friend of the artist, who ordered the image with one condition, that it be of "The Autumn" and in return granted absolute freedom to make the design and finish of the image. Tina Oloyede's capacity for artistic expression is unquestionable; it is impossible to see this picture without an autumnal image appearing in our mind.Mar 07, 2007
"Fingers Holding Secrets," by Joe ZazulakJoe Zazulak retired at the age of 55 from the United States Department of Veterans Affairs in order to dedicate himself from then on to fractal art, to which he is a certified addict. This picture is called "Fingers Holding Secrets," and the name came to his mind while the image appeared slowly on his computer. From then he only worked in providing the delicate and smooth pearlescent texture that characterizes the image. Joe Zazulak never plans his images in advance, nor intuits what they will be after the creative process. He begins his works with a very simple structure, with hardly any color, and adds variations to the shape parameters intuitively until he obtains a pleasing result.Mar 07, 2007
"Xolis," by Jaroslaw Wierny"Xolis" is an abstract word for an abstract picture. Each person can give to it the significance they want, as the author does not pretend to predispose the viewer. The image was generated with Ultra Fractal and consists of 10 layers containing the two most famous fractal sets, the Julia set and the Mandelbrot set. Six different coloring algorithms are applied to these. Jaroslaw Wierny is a Polish graphic designer profoundly interested in the Buddhist philosophy, which he relates to the fractal structure of the world.Mar 07, 2007
"Untitled," by Mark TownsendMark Townsend is a complete fractal artist who combines a refined technique with a marvelous creativity. This versatile Australian programmer has designed dozens of formulas for the program Ultra Fractal, but also gets part of his fame as the author of the popular software Apophysis. Mark Townsend is one of the authors who has contributed much to the recognition of fractal art, providing a work that is both innovative and at the same time personal. For this image, he tried to create shapes that did not appear to be made with a computer. The lines were included to emphasize the two-dimensional nature of the image.Mar 07, 2007
"Spellbinder," by Richard SpixThis image was formed with no less than 105 fractal layers composed of a large number of different coloring algorithms applied to a Phoenix set. It is the kind of image in which the composition enjoys much importance and in which many of the formulas are used to correct or emphasize small details, at times almost imperceptibly. The name of the image comes from the idea of representing an ancient artifact, enigmatic, bound to legend and secret mysteries. The author of this complex picture, Richard Spix, has created fractal art since 1996 in Florida (USA) where he works as a technical engineer.Mar 07, 2007
"Potemkine," by Etienne Saint-AmantEtienne Saint-Amant is a Canadian scientist passionate for art and mathematics. He has had various exhibitions both individual and collective, he has presented conferences on art and mathematics and he has appeared in numerous programs on radio and television. His work can be seen on CD and book covers, calendars and web pages. "Potemkine" is a pseudo-abstract composition that portrays the intense emotion lived during the rebellion of the battleship Potemkin in the port of Odessa, Ukraine, in 1905. It brings to mind the ship enveloped in smoke, the flying projectiles, the din of the battle: a scene of the terrible emotional conflict of the Russian troops brought about by the orders to quash the rebellion and those sentiments confronted by compassion towards their compatriots. The image was created to commemorate, a century later, these events.Mar 07, 2007
"D-260" Acrylic on paperThis painting has a grid over the ground of the painting which follows the alternating sequence of opaque color, and open spaces. The underlaying image is based on the number 11 and the toroid form also alternates with light "spokes" and darker "spokes." A circular gradation of color radiates within the darker blue color.Feb 01, 2007
"P-357" Acrylic on canvasThere are 11 petal forms in center of this painting. The grid or plaid in the background follows a number sequence of 3 while there are 22 circles interlocking around the edge of the painting. There are also soft concentric circles which radiate from the center of the painting. Feb 01, 2007
"P-378" Acrylic on canvasThe toroids, or spinning forms in the painting, have spokes which are based on prime numbers. These are overlayed with a grid which also uses a number sequence in establishing the color. In this painting I'm exploring dichotomous space relationships; flat space as opposed to deep space.Feb 01, 2007
Circle 1Computers make it possible for me to "see" the beauty of mathematics. This image and all of the Circle Pictures are made by iterating systems of Mobius Transformations. Sep 26, 2006
Circle 3Computers make it possible for me to "see" the beauty of mathematics. This image and all of the Circle Pictures are made by iterating systems of Mobius Transformations. Sep 26, 2006
Circle 4Computers make it possible for me to "see" the beauty of mathematics. This image and all of the Circle Pictures are made by iterating systems of Mobius Transformations. Sep 26, 2006
Circle 5Computers make it possible for me to "see" the beauty of mathematics. This image and all of the Circle Pictures are made by iterating systems of Mobius Transformations. Sep 26, 2006
"ParaStar8," by Mary Candace Williams. Quilt copyright 2003 Mary Candace Williams; photograph by Robert Fathauer.This quilt is is the third in a series of quilts based on the approximation of a parabola by drawing a series of straight lines. There were eight divisions of the orginal block which was then mapped onto a rhombus and repeated eight times for the complete quilt. The star part of the design was enhanced by the use of shades of color.

--- Mary Candace Williams
Aug 30, 2006
"Poincare," by Mary Candace Williams. Quilt copyright 2005 Mary Candace Williams; photograph by Robert Fathauer.This is a hyperbolic design so it is as if a sphere was mapped onto a plane. The printed fabric has distorted spheres. This quilt is unusual in that it is pieced from the outside to the center.

--- Mary Candace Williams
Aug 30, 2006
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