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M.C. Escher: More Mathematics Than Meets the Eye
- hoag 16y agoAs someone who grew up mesmerized as a little kid by a large framed work by Escher in our house, this is an awesome read. :)
- slashcom 16y agoObligatory reference to Gödel, Escher and Bach. (For the record, I do understand this article explores a different mathematical aspect of Escher than Hofstadter)
- jcitme 16y agoDoes anyone have a larger version of the last picture?
- ElbertF 16y agoHere's a slightly larger version (thanks to http://tineye.com http://tineye.com): http://netdna.webdesignerdepot.com/uploads/droste/escher4.jpg http://netdna.webdesignerdepot.com/uploads/droste/escher4.jp...
- grishick 16y agoThanks! Awesome read! Makes me love Escher's work even more.
- ot 16y agoI've seen Lenstra's talk about Escher's print gallery some years ago in Rome and then again after a few months in Pisa. One of the most captivating talks I've ever seen. He's a great speaker. I wish I had him as a professor. EDIT: forgot to add, in the Mathematica blog there is another explanation of the mathematics between the "Droste effect" and the code to obtain it: http://blog.wolfram.com/2009/04/24/droste-effect-with-mathematica/ http://blog.wolfram.com/2009/04/24/droste-effect-with-mathem...
- lloeki 16y agoI'm just speechless about that computed re-creation assembling the four frames. Brilliant. The interpretation of the blank spot is also quite nice and very Escher-esque, with the content literally jumping out of the frame. Probably Escher left the center patch blank because his construction method would have him exceed some technical/physical limitation, so instead of drawing an approximation he preferred a void.
- JonnieCache 16y agoThere's an OS X screensaver based on this work which animates the effect, in a similar way to "dive" animations into fractal images. Fascinating but also nauseating after a while. http://wakaba.c3.cx/s/lotsablankers/lotsaescher http://wakaba.c3.cx/s/lotsablankers/lotsaescher