jeffwack111 / Spiders

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Given an external angle, calculate epsilon such that a circle of radius epsilon around zero lays within the Julia set #6

Open jeffwack111 opened 11 months ago

jeffwack111 commented 8 months ago

Here's a related computation. Suppose we know that $|c| < \epsilon$ , and we want to find a disk in the dynamic plane which is contained in the Julia set. $|z^2 + c|<|z|^2+|c|<|z|^2+\epsilon<|z| \implies |z| < (1+\sqrt{1-4\epsilon})/2$