Friday, July 07, 2006

Honey I Escherized the kids!

Honey I Escherized the kids!
Originally uploaded by Seb Przd.
Conformal mappings are great: it's a very powerful branch of mathematics, which basically says you can deform almost any 2D object and transform it into something else while keeping the shape of objects the same (on a small scale). Hence this picture: you see no holes, no obvious distortion, but this image cannot be real. This trick is inspired by a painting by M.C. Escher: some Dutch mathematicians have found what the transformation is and explained in (almost) layman terms.
This image was done in The Gimp and transformed with MathMap.


At 4:32 PM, Fidel said...

Hello, just to let you know that I am very impressed with this "Escher" effect picture (as well with all the other pictures in this series that you have uploaded to flickr).

I have read your comments in flickr where you leave some hints about how to get this kind of images.

Also, I have looked at

However I fail to understand how the whole process works. I know that it is a mathematical transformation (I am not good enough in maths to understand it), but I wonder about what is the "base" of your work.

Do you work directly with one picture? Do you get some pictures each of them with a greater zoom factor?

I mean: do you write one equation directly in mathmap and get the result? or do have to follow two (or more) different steps (Joining pictures with different zoom factors and then twisting the resulting image)?

I would love to be able to create some pictures like this one, but right now it looks like an impossible task.

I would appreciate any hint or help from your side.

Congratulations for this impressive work!


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