75 Mandelbrot Variants

This video includes all 78 ABS fractals, from the classic 12, to geometric shapes, to chaos, each fractal has something to offer.

330 Cubic Fractals (Sequel):    • 330 Cubic Fractals  

Rendered at 30720x17280 8192i

If you would like to explore these fractals yourself, then you can download ABS-Fractal-Explorer from Itch.io and GitHub.
Itch.io: https://zerico2005.itch.io/abs-fracta...
GitHub: https://github.com/ZERICO2005/ABS-Fra...

Sections:
0:00 Introduction
0:10 Standard Fractals
2:02 Asymmetric Fractals Part 1
4:48 Symmetrical Fractals
8:29 Asymmetric Fractals Part 2
11:17 Geometric Shapes
11:45 Extra Information
12:25 Outroduction


The Zoom Calibration slide should say Log10(8), not Log10(4), sorry about that.

You can download the PNG files from this discord server:   / discord  

Running the amount of asymmetrical and symmetrical fractals through systems of equations says that there should be 50 asymmetrical and 28 symmetrical, however, I observed 44 asymmetrical and 36 symmetrical which only makes sense when the amount of fractals including duplicates is 240 instead of 256. This is because one or two fractals repeat on different equations. This has also happened with the Cubic ABS fractals where there is a ~5-20% chance of this one fractal showing up

April 9th 2022:
I have discovered that zrc = zr * zr + zi * zi and zrc = Math.abs(zr * zr + zi * zi) are the same since it is impossible to have a negative value there. This has caused 2 asymmetric fractals to show up 8 times and at least 3 symmetrical (The "Geometric Shapes") fractals to show up 4 times.

July 21st: The reason that the colors are slightly shifted in this video is because Olive exports in sRGB while VLC and YouTube ignore that and interprets the video as rec709 screwing up the colors.