It's as though Escher is someone who doesn't quite speak the language of math; Coxeter translates for him, weaving concepts and theories together to explain this beautiful piece of artwork.
Escher understood the concepts, just couldn't speak it in a certain language, so he showcased those concepts in another.
I am on the lookout now for Professor Coxete's papers; I have another paper by an individual who studied Coxete and Escher which I will be reading.
I just thought it was interesting how Coxete said that he "proved" that Escher got Circle Limits III "mathematically perfect". Perhaps we can think of it just as he translated what Escher wanted to showcase. More on this later.
You can read the article here.

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