Regarding possible J code, the following link made me think of a possible
way to create a tile. If I read the accompanying text correctly, there are
two versions of the einstein tile. The left hand version is called "hat";
the right "turtle". Later comments suggest there are an infinite number of
"similar" einstein tiles.

https://static01.nyt.com/images/2023/03/28/multimedia/28SCI-TILES-03-wmvf/28SCI-TILES-03-wmvf-jumbo.jpg?quality=75&auto=webp

The full article link follows.
https://www.nytimes.com/2023/03/28/science/mathematics-tiling-einstein.html



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