A simple question, but one I am unable to find the answer to; What is $$\sup\{y:x+y\cdot i \in M\}$$ Where $M$ is the Mandelbrot set. How is this constant calculated? Is it a known constant? Etc...
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1This reddit post claims the point is approximately $-0.20710786709396773 + 1.12275706363259748$ with the real part close to the principal value of $i^i$ – Ross Millikan Aug 17 '18 at 14:34