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These maps turn out to be awfully useful for interesting visual effects. The exponential map shows up in Escher's "print gallery" too, which I tried to explain
by roywiggins 7y ago
These maps turn out to be awfully useful for interesting visual effects.
The exponential map shows up in Escher's "print gallery" too, which I tried to explain here:
http://roy.red/droste-.html http://roy.red/droste-.html
And you can use it to make various interesting things:
http://roy.red/fractal-droste-images-.html http://roy.red/fractal-droste-images-.html
I like this paper that extends the Mercator projection of the earth down a few inches so you can see what it does down right next to the South Pole:
http://archive.bridgesmathart.org/2013/bridges2013-217.pdf http://archive.bridgesmathart.org/2013/bridges2013-217.pdf
- ttoinou 7y agoI find mercator maps for Mandelbrot to be fascinating, I hope we can use them better than we do right now. Maybe to pre compute values before making a render of a Mandelbrot zoom?
- vanderZwan 7y agoI would love to see the "the complex logarithm function" version of the Powers Of Ten film as a high-resolution image. Or print, even. Same with various other fractals beside Mandelbrot