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Mandelbar over the complex numbers: https://en.wikipedia.org/wiki/Tricorn_(mathematics)

Mandelbar over the split-complex numbers: https://imgur.com/PkzY7B6 (admittedly, a bit underwhelming)




Maybe there's interesting things to see if you change the parameter settings a bit? One thing that can be particularly interesting is using an exponent other than 2.0, regular Mandelbrot is quite interesting (dense and full of 'cuts') on a power of -1.55 for example (I call it 'negandel'.)




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