It continues forever! See here for example: https://mathoverflow.net/questions/215187/is-there-a-reference-for-computing-pi-using-external-rays-of-the-mandelbro

It continues forever! See here for example: https://mathoverflow.net/questions/215187/is-there-a-reference-for-computing-pi-using-external-rays-of-the-mandelbrot https://mathoverflow.net/questions/215187/is-there-a-referen... I believe you are just running into the limits of double precision arithmetic; indeed log_2((10^8)^2) > 53.