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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