#ManDelDrop

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Just lost two hours of writing a post in which this video was involved. Lesson learned: never compose in tumblr. Thanks tumblr!

Explanation: It’s a video of me turning the mandelbrot set inside out.

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Remeber that video the other day? Here it is in 1080p, zoomed out enough that you can see the full structure of the mandeldrop. Watch it in fullscreen with the quality set to 1080p; or something, because youtube’s compression made it terrible, otherwise.

Explanation: It’s still me turning the mandelbrot set inside out. I do this by parametrizing the equation so blah blah blah.

Use this math I worked out to do it yourself if you want.

z^2 + (n/f) * c + (1-(n/f)) * t

where n is the number of the frame being rendered, and f is the total number of frames to be rendered, and t is some arbitrary transformation of c, in this case, c^-1

I’ll write a post for non-mathematicians at some point. One that doesn’t use the sort of impenetrable jargon that idiots who need to feel smart love. I’m about halfway done with it, actually.

Oh also, the reason why the quaternion mandelbrot set looks like poorly-lathed cylindrical shite is because quaternion algebra doesn’t prune preperiodic points from rotation. Instead it make them continuous across 360 degrees. I just figured this out the other day, and consequently respect my fellow countryman’s invention more. They’re almost correct.