brotShot.gif

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Mandelbrot set where the imaginary part of the seed Z changes over time. The inclusion test for the Mandelbrot set iterates from 0. Here that iteration starting value changes from 0 to (0 + 0.05i), to (0 + 0.1i), etc.

As the Mandelbrot set is also a parameter map of Julia sets (where a point in the complex plane is included in the Mandelbrot set precisely when the Julia set parameratized by that point is connected), I wonder what relationship (if any) Julia sets have to versions with seeds other than 0. If these modified versions of the Mandelbrot set are a map of anything, I would expect any associated quasi-Julia set definitions to need some kind of concomitant modification as well.

Code: Download brotShot.zip || Github