The Mathematical Structure of Escher’s Print Gallery (2003) [pdf]

Original https://upload.wikimedia.org/wikipedia/en/0/02/Print_Gallery...

Completed https://www.universiteitleiden.nl/binaries/content/gallery/u...

Video https://youtube.com/watch?v=JtqmDZrpfCA&feature=share

I would’ve enjoyed a picture of the unfinished work along with the finished one. I was also left puzzled as to why the picture on the tin would be the same at exactly 7x the size, but (apparently) not at some other factor.

Even though this is labeled 2020 this is work done in 2002 or earlier if I'm not mistaken. And I've seen many articles, videos, and interactive versions over the years. Very cool!

https://web.archive.org/web/20130422193857/http://escherdros...

Wow neat, I hadn't seen this before. Besides watching the animations, the most interesting thing was the AMS article by Lenstra and de Smit:

https://www.ams.org/notices/200304/fea-escher.pdf

It explains all the math, shows Escher's work drawings, etc. Escher himself didn't seem to be completely cognizant of the math, so he worked by intuition and eyeballed things, but he came to a very close approximation of what the mathematicians worked out decades later.

The resolution is much too low to see exactly what got added (the area that is blank in the original is quite small).

Fun fact: I live within 500 meters of where Escher was born :), nice to see him pop up here on HN. Highly recommended to go see his other works if you haven't yet.

well-explained Quora post! https://www.quora.com/What-should-be-in-the-center-of-Escher...