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I figured out how to make the boundary of the Mandelbrot set using it's Laurent series ( mrob.com/pub/muency/laurentseries.html ) and decided to add some effects and animate it in OsciStudio. I could make it more detailed with more terms of the series, but the math involved to get them looks like it's beyond my current knowledge.
The visuals you see are made by "drawing" with the left audio channel as one coordinate and the right audio channel as the other. The video can be generated just by plugging the audio into an oscilloscope or oscilloscope emulator.
Created using OsciStudio and dood.al/oscilloscope.