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Topic: Escher's elliptic curve (Read 2280 times) |
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K Pfeiffer
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Escher's elliptic curve
« on: Feb 5th, 2004, 10:32pm » |
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(apologies in advance if this is 'old hat')
From the notice for an upcoming talk:
One of M.C. Escher's most intriguing works depicts a man standing in a gallery who looks at a print of a city that contains the building that he is standing in himself. This picture, with the title Print Gallery, contains a mysterious white hole in the middle.
In the year 2000 number theorist Hendrik Lenstra discovered the mathematical structure of this print: it is derived from an elliptic curve over the complex numbers. What Escher was trying to achieve in this work turns out to have a unique mathematical solution.
This opened up the way to filling the void in the picture. With help from artists and computer scientists a completion of the picture was constructed at the Universiteit Leiden.
In the talk the mathematics behind Escher's work and the process of making the completion will be explained and visualized with computer animations.
Here's a website about this (there's a link there to a detailed article, but first try zooming in on the image you'll find there):
http://escherdroste.math.leidenuniv.nl/
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