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 > Edmund Harriss:: Shapes and Tilings
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"Two Squares (2006)," by Edmund Harriss (University of Leicester)

Printed on Canvas 36" x 36". This is based on the Ammann-Beenker Tiling. Along with Ammann Squares this work explores the extension of the work of Raymond Brownell ( to more complicated geometry. 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.
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--- Edmund Harriss

Two_Squares.jpg Octagonal_Gasket.jpg IMG_0449.jpg CurveTile.jpg Ammann_Scaling~3.jpg

American Mathematical Society