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.
"Gong Gan," by Ghee Beom Kim (Artist, Sydney, Australia)
Digital Print, 12 x12 inches, 2009. “Gong Gan” employs a dodecahedron as its base form. I saw polyhedra as a form of tessellation on a sphere (spherical tessellation) and just by replacing each pentagon face on the dodecahedron with a module that tessellates within the pentagon and with the adjacent ones as well I was able to create this pleasant looking sculpture. "As for me my art is a channel through which I communicate with the higher entity. It’s a form of profound prayer on my part. Geometry has, so far, given me the best means to explore universe and reveal His secrets. By exploring into geometry from purely aesthetic perspective I can see clear relationship between the pure beauty of mathematics and God. My art is devoid of any human feelings and the focus is solely upon revealing unknown mathematical and geometrical order leading to visual essence. I create most of my artwork using Autocad and touch up in Photoshop afterward." --- Ghee Beom Kim (Artist, Sydney, Australia) http://geometricarts.googlepages.com/home