Unstable Orbits of the Mandelbrot Set (Orbit Splines)

In this video we explore a hidden aspect of the Mandelbrot Set. For every single pixel in my videos there is an orbit. That is the path the value of z takes as we iterate over z=z^2+c. Normally, you don't see this, it is just something I calculate. In this video we use these values as control points to build a spline (curved line). Each spline represents a single point outside the Mandelbrot Set. (The inside points are usually less interesting, but see the "Spline Brot" video to get the idea. https://www.youtube.com/watch?v=hNVlygTyWEo )

There are 10 different orbits featured in this video. Actually, they are quite small, only around 1000 iterations.

Thank-you to my supporters on Patreon.

This video will be available for Patreons to download in the coming days, which will have a higher bitrate. You can also use these visuals on your own channel if you are a member of my Patreon page. https://www.patreon.com/mathstown

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Видео Unstable Orbits of the Mandelbrot Set (Orbit Splines) канала Maths Town