[HN Gopher] The Mathematical Structure of Escher's Print Gallery...
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       The Mathematical Structure of Escher's Print Gallery (2003) [pdf]
        
       Author : Schiphol
       Score  : 26 points
       Date   : 2021-08-14 10:19 UTC (1 days ago)
        
 (HTM) web link (www.ams.org)
 (TXT) w3m dump (www.ams.org)
        
       | brekels wrote:
       | well-explained Quora post! https://www.quora.com/What-should-be-
       | in-the-center-of-Escher...
        
       | stikit wrote:
       | 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
        
       | throwaway81523 wrote:
       | 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.
        
         | jacquesm wrote:
         | Thank you, that PDF is much better than the article. Dang, link
         | change?
        
         | dang wrote:
         | Ok, we've changed to that from
         | https://www.universiteitleiden.nl/en/news/2020/04/how-
         | mathem.... Thanks!
        
       | jacquesm wrote:
       | 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.
        
       | floydnoel wrote:
       | 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.
        
       | djmips wrote:
       | 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...
        
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       (page generated 2021-08-15 23:01 UTC)