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.
"002 - Julia weaves," by Jean Constant (Santa Fe, NM)
20" x 20", Mixed media on canvas, 2011
This is a combination of Julia set fractal and droste effect. Julia Sets are one of the most famous types of fractals formed using formula iteration. The Droste effect depicts a smaller version of itself in a place where a similar picture would realistically be expected to appear. Combining the two effects brings visually significant occurrences explored sometimes more intuitively in medieval architecture, stained glass windows and weaving work . --- Jean Constant (Santa Fe, NM, http://hermay.org/)