reperiendi

Escher “Print gallery” metapixel

Posted in Math by Mike Stay on 2011 March 10

This one uses a conformal transformation like Escher did in his “Print Gallery“:

A picture that contains a scaled-down copy of itself is periodic both in theta and in log (r). Taking the complex log of such an image gives a rectangular tiling of the plane; by scaling and rotating, I got a new tiling, then exponentiated it. Now going around 2 pi radians takes you diagonally across the original rectangle, so you end up one level away from where you started.

[Edit] See also these better versions.

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One Response

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  1. Miriam said, on 2011 March 10 at 10:37 am

    Cooool!


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