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.
"A5, Variation I," by Conan Chadbourne (San Antonio, TX)
24" x 24", Archival Inkjet Print, 2011
This work is an exploration of the structure of the alternating group on five elements, and its particular presentation by two generators of orders 2 and 5. A stylized Cayley graph of this presentation of the group is shown over its dual graph. The regions in the dual image are colored according to the order of the element in the group. The image is constructed from multiple hand-drawn elements and natural textures which are scanned and digitally manipulated to form a composite image and subsequently output as an archival digital print. --- Conan Chadbourne (San Antonio, TX, http://www.conanchadbourne.com)