mandelbrot-js
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Gray screen with deep zoom
For now you have limit in zooming (~10^15) because you use javascript 64-bit float. But you can overcome the limit by using floating point expansion technique that is pretty fast. For example you can use double.js or bigfloat library.
That is true, but I don't have time to fix it myself. I tried something like that, but was not satisfied with the speed. Perhaps change to arbitrary precision when we reach a certain limit or something.