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.
Giclee print on canvas (mounted) scanned from original artwork, acrylic paint on board, 20" x 20". "'Swarming Pentaplex' is a representation of the seven Penrose rhomb vertex groups, which I inadvertently "discovered" while experimenting with various matching rules. Of course the Penrose vertex groups have been long-known, however this exploded arrangement results from a very simple underlying tile decoration, with a gradual feathering out of the basic pattern. The resultant picture has great beauty inherent to pentagonal geometry with its aesthetic revelations of the "golden mean". The title refers to the fact that in the right half-light and standing at the right distance the painting comes alive with movement in waves across the canvas, like swarming bees! " --- Paul Stacy, Landscape Architect, Sydney, New South Wales, Australia