The 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.
"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.