This entire fractal is fully defined by these two transforms being animated.
https://timhutton.github.io/mobius-transforms/dfs_recipes.html?id=special&ta.x=1.870000&ta.y=0.080000&tb.x=1.870000&tb.y=-0.100000&tab.x=1.790000&tab.y=-1.948000
The swirliness of the transforms themselves (they are 'loxodromic') seem to make the fractal visually appealing. One day I will try using fluid dynamics motions to explore this idea.
Edited 3y ago