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> It feels weird to me to use the hyper parameters as the variables to iterate on

Yes, I also think this is strange. In regular fractals the x and y coordinates have the same units (roughly speaking), but here this is not the case, so I wonder how they determine the relative scale.



Is there really any meaningful sense in which real and imaginary numbers have the same units but two dimensionless real hyperparameters don't?


Complex numbers multiplied by an imaginary number rotate preserving magnitude. In this sense they have the same units.


You can rotate any vector while preserving its magnitude.


If the units are different, you do need to come up with a conversation between them, or you're implicitly saying it's 1-to-1




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