> Very highly magnified images require more than the standard 64–128 or so bits 
> of precision that most hardware floating-point units provide, requiring 
> renderers to use slow "bignum" or "arbitrary-precision" math libraries to 
> calculate.

[https://en.wikipedia.org/wiki/Mandelbrot_set#Perturbation_theory_and_series_approximation](https://en.wikipedia.org/wiki/Mandelbrot_set#Perturbation_theory_and_series_approximation)

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