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 > 2015 Mathematical Art Exhibition

"Irregular hyperbolic disk as lamp shade," by Gabriele Meyer (University of Wisconsin, Madison)

Photograph, 2013
I like to crochet hyperbolic surfaces. More recently I am interested in irregular hyperbolic shapes and how they interact with light. This is an image of a crocheted hyperbolic surface used as a lamp shade. The object itself is about 1 yard in diameter. On one side it has a more negative curvature than on the other, an irregularity, which makes it appear more interesting. The surface is created with white yarn, so that nothing detracts from the shape. --- Gabriele Meyer (

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American Mathematical Society