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.
"Flora #1 (time slice)," by Brian Evans (University of Alabama, Tuscaloosa)
Archival inkjet print, 9" x 6" (14" x 11" framed), 2010
How much is lost in the reduction of reality to human sensation? The infinite detail there in front of us is reduced to 100 million discrete measurements made with the rods and cones on the retina of the eye. Infinity reduced to 100 million, which is reduced another ninety-nine percent as the signal is compressed to travel only 1 million pathways on the optic nerve. It’s a wonder we can make sense of the world at all. These little photos are also reductions, slit-scans of flowers rotating on a tabletop—2D slices of time. The four dimensions of our reality (x, y, z, t) are reduced to two (x, t) showing a different aspect of the real. The temporal is mapped into the static and new forms and structures are seen. These works are metaphors for the language of mathematics. What wonders we can discover through the processes of abstracting, reducing, mapping, and finally looking in new ways at the little slices of information we receive from all the surrounds us. --- Brian Evans (http://brianevans.net)