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Home > Edmund Harriss:: Shapes and Tilings
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"Ammann Scaling (2006)," by Edmund Harriss (University of Leicester)

Printed on Canvas 24" x 24". The Ammann-Beenker tiling is the eight-fold sibling of the more famous, five-fold Penrose rhomb tiling. It was discovered independently by R. Ammann and F. Beenker. Like the Penrose tiling, the Ammann-Beenker can be constructed by two particular methods. The first method is uses the substitution rule, and the second method is to construct the tiling as a planar slice of a four dimensional lattice (in much the same way that a computer draws a line using the pixels of its screen) and then project this to the plane. See more information at This was a commission for the School of Mathematical Sciences at Queen Mary. It is one of a pair with Ammann Squares, exploring aspects of the Ammann-Beenker Tiling. It appeared in the June 2007 issue of Notices of the AMS. --- Edmund Harriss

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American Mathematical Society