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.
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"P-378" Acrylic on canvasThe toroids, or spinning forms in the painting, have spokes which are based on prime numbers. These are overlayed with a grid which also uses a number sequence in establishing the color. In this painting I'm exploring dichotomous space relationships; flat space as opposed to deep space.
"P-357" Acrylic on canvasThere are 11 petal forms in center of this painting. The grid or plaid in the background follows a number sequence of 3 while there are 22 circles interlocking around the edge of the painting. There are also soft concentric circles which radiate from the center of the painting.
"D-260" Acrylic on paperThis painting has a grid over the ground of the painting which follows the alternating sequence of opaque color, and open spaces. The underlaying image is based on the number 11 and the toroid form also alternates with light "spokes" and darker "spokes." A circular gradation of color radiates within the darker blue color.