This is a unique deep zoom with 3rd order features! This video has some of the best multi-way symmetry that you will find in any of my videos, try starting around 1:42:39 if you are short on time. This zoom video is designed to feature two different embedded Julia sets. You find embedded Julia sets when you pass into the influence of a mini-Mandelbrot. In this video the main Mandelbrot (1st order) creates hair-like features. From the 2nd order Mandelbrot we pick up features of the Julia Set with the mushroom spirals. The 3rd order gives another embedded Julia Set which is recognisable from the very dense colour changes.
Often the 3rd order areas are very dense and increase the iteration count very quickly, which can make them hard to colour. To compensate I've tried to design a colour scheme that works in all points of the video. This makes for a very mellow colour scheme in the 2nd order areas with only minimal changes in hue. As we venture in and out of the 3rd order areas the colour changes are quite dramatic. There is an amazing 3rd order spiral at 50:06 that repeats itself with higher symmetry later in the video.
The music is by "ooyy". If you don't like it, please don't complain, just play your own :-)
This is a traditional Mandelbrot zoom, with traditional linear colouring.
Depth: 2.96e1511
Iterations: 8.8 million.
Software: Kalles Fraktaler / After Effects
Colouring method: Linear.
This video is best viewed at high-resolution. The original high bitrate version will be available for Patreons as soon as it finished uploading. (61.8gb mp4)
Thank-you to my supporters on Patreon.
/********************************************************************************
Patreon: / mathstown (Support, Downloads & Usage Rights)
Website: www.maths.town
Twitter: / mathstown
Ko-Fi: ko-fi.com/math... (Buy me a coffee)
********************************************************************************/
1 дек 2018