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There's a strange hole in the ground

The magic of conformal mappings strikes again, this time in an unlikely place: the Mandelbrot set, the iconic image of fractals.

 

This is a quite impressive feat: there is a conformal mapping between the outside of the unit disk and the outside of the Mandelbrot set. The Hubbard-Douady potential can be constructed as the logarithm of the absolute value of this conformal mapping. In the case of this image I transformed the circle representing the two-headed eagle of Hessen in front of the Wiesbaden Rathaus into the Mandelbrot set.

 

I saw the idea of merging photos and the Mandelbrot set in this and this picture first.

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Uploaded on September 18, 2008