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Home > 2009 Mathematical Art Exhibition
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"Uniqueness--and Infinity," by Jo Niemeyer (2008)

Prints, 20" x 20". "To realize the concept of 'uniqueness' in art is a true challenge. And no easy task for an artist. This could be said for the concept 'infinity' as well. As a visual experiment with both of them, this problem is shown systematically in two steps in the following two graphics: The top image shows the overlapping of two geometrical grids. The size of the mesh corresponds to the relation 1 : 0.625. Or the Fibonacci numbers 5 and 8. There are nine grid elements, which overlap accurately. Furthermore the constellations of overlappings reiterate themselves. The two grids behave periodically. There is infinity - but no uniqueness. The bottom image shows the overlapping of two grids as well. Very similar to the top image, but the size of their meshes correspond here exactly to the relation of the golden section. 1 : 0.6180339... As the last number is an irrational number, the two grids behave aperiodically. Only the upper left two grid elements overlap accurately. Each overlapping constellation of the elements is unique, even if the size of the grid would be extended to infinity!" --- Jo Niemeyer, Freelance artist, Schluchsee, Germany

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American Mathematical Society