The Power of "e" - Irrational Power Mandelbrot Zoom

Quite some time ago I had some requests for some more fractional power zooms. This is what the Mandelbrot formula looks like when it is raised to the power of Euler's number "e" (2.7182818284590452353602874713527), instead of the normal 2. Non-integer power result in branch cuts, so these fractals are a fun mess. These are only short because they are very computationally expensive to render.

Formula: z = z^e +c

Euler's number "e" is probably the most important constant in mathematics (perhaps after pi). In this context though, it has no special significance. It was just a curiosity. I should have a couple more fractional/irrational powered zooms coming soon.

Thank-you to my supporters on Patreon.

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Music: SoloAcoustic5 by www.audionautix.com (Creative Commons).

I am making this particular video creative commons.

Видео The Power of "e" - Irrational Power Mandelbrot Zoom канала Maths Town