Mobius map can combined like sequences on Rubik's Cube.
Mobius map ( a * z + b) / ( c * z +d ).
The pictures are known as Indra's Pearls.
1 Jear ago, I calculated some of this pictures.
Attachment:
blilabm.jpg [ 54.71 KiB | Viewed 323 times ]
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Attachment:
inspir.jpg [ 126.53 KiB | Viewed 323 times ]
Perhaps someone knows such motives.