10 years (exactly) on from my unanswered question

"Interior Distnace Estimate for Julia Sets - Getting Rid Of Spots"
https://math.stackexchange.com/questions/1153052/interior-distance-estimate-for-julia-sets-getting-rid-of-spots

I think I found the answer: apply l'Hospital's rule to the limit for attracting (not super-attracting) interior distance, take the maximum of all such distance estimates.

https://en.wikipedia.org/wiki/L'H%C3%B4pital's_rule

Not very principled (I haven't checked the necessary conditions for the rule to be valid), but seems to work ok for removing the spots at the preimages of the attractor.

#fractals #JuliaSet #DistanceEstimate #graphics #attractor #PreImage

interior distance estimate for Julia sets - getting rid of spots

From wikibooks colouring the Julia set, the distance estimate $\delta(z)$ can be calculated by: $$\begin{aligned} \delta(z) &= \lim_{n \to \infty} \frac{|z_n| \log |z_n|}{\left|\frac{\partial}{\

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