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.
"Composition No 7," by Nuria Juncosa (Artist, Amsterdam, The Netherlands)
Oil on linen, 23.6 x 23.6 inches, 2009. This painting is a partial projection of a wireframe deltoidal icositetrahedron. A deltoidal icositetrahedron dual polyhedron which looks a bit like an overinflated cube which has all of its edges bisected. The 24 faces are deltoids. The short and long edges of each kite are in the ratio 1.00:1.29. The deltoidal icositetrahedron is a crystal structure formed by the minerals analcime and garnet. After painting the projection of the Deltoidal Icositetrahedron wireframe on the canvas, I took the artistic freedom of creating new subfaces, occupying complementary locations by colouring up the spaces obtained by the intersections of the wireframe. I like to say that as an artist, I discover mathematics through art. --- Nuria Juncosa (Artist, Amsterdam, The Netherlands) www.la-nuria.com