Math ImageryThe 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.

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Home > 2017 Mathematical Art Exhibition
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"Penrose Skates," by Douglas Burkholder (Lenoir-Rhyne University, Hickory, NC)

50 x 50 cm, digital print, 2016

This artwork evolved from a search for beauty and patterns within Penroseā€™s non-periodic tiling of the plane with kites and darts. Half darts and half kites can be repeatedly subdivided into five smaller components. Start by labeling these five subcomponents A-E. Then, similar to creating the Sierpinski triangle, alternately subdivide and remove all the components with a certain label. After removing tile type A for three iterations we change to removing tile type B for five more iterations. Instead of painting the tiles remaining, pursuant curves are constructed on the regions removed. --- Douglas Burkholder

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American Mathematical Society