I was, similarly to some things Kai says here very inspired to find ever more 'dense' areas in fractals, full of detail everywhere. I found two basic ways to f

I was, similarly to some things Kai says here very inspired to find ever more 'dense' areas in fractals, full of detail everywhere. I found two basic ways to find fractals that appear to be 'detailed everywhere' rather than only near the inside/outside edge: One way is to use a negative non-integer exponent (say, -1.528) with the regular generalised Mandelbrot formula I call it 'negmandel'. This makes areas with loads of sharp 'cuts' all compounding with each other. The cuts are actually a digital 'artifact' caused by the way complex logarithm is (most often) evaluated on a computer. I'd be very interested to explore what happens if you try to do the logarithm in such a way that the cuts don't happen, but the maths is beyond me for the moment. A second way is to use a formula such as 'Nova' (in UltraFractal which is related to Newton's method for root-finding I believe) and turn up the 'relaxation' parameter. On the 'inside' (in the 'lake' if you like) some extremely detailed and very beautiful structures can be found. Visual examples on my blog: https://ultraiterator.blogspot.com https://ultraiterator.blogspot.com