Does anyone know if he had seen any Islamic tiling art ? Or for that matter if Escher had seen any of his.

Group theory / symmetry runs deep through these. One [0] of the circular ones made me think of braid(group)s. Not sure what the * operator would be in that case.

Speaking of braid groups Richeson had a very interesting blog post on the braid like groups of maypole dances.

Let me find and submit separately (spoiling a Hokusai story with another story, no matter how interesting, would be a personal sacrilege). Found it [1][2].

[0] https://dl.ndl.go.jp/pid/1899550/1/10/

[1]https://news.ycombinator.com/item?id=44225324

[2]https://divisbyzero.com/2009/05/04/the-maypole-braid-group/

https://www.metmuseum.org/art/collection/search/354838

https://www.metmuseum.org/art/collection/search?q=kimono+jap...

People had kimonos with crazy prints throughout the Heian, warring states and Tokugawa periods.