Chaotic Energy Board - inside a canonical 2-dimensional space of complex numbers [8K]
The Chaotic Energy Board fractal is generated by iterating the function:
f(a+ib) = ( (a-1)(a+1)/cos(2a𝜋) + i * (b-1)(b+1)/cos(2b𝜋) )^2 + c , f(0)=0
in the complex plane ℂ which will either escape or remain bounded.
0:00 Channel Intro
0:12 Resolution Limitation
0:30 Introduction
1:04 The Mandelbrot Set
1:29 Coloring Example #1
2:22 Coloring Example #2
2:57 "Chaotic Energy Board"
4:04 Start Animation
5:40 Let's Zoom in
6:25 The Art of Mathematics
All the visualization that are presented in this video were made in 19200 by 10800 resolution
but unfortunately , due to YouTube restriction , i had to reduce the video resolution to 8k which is 7680 by 4320
The intro animation was made using "Gradients Logo" by VideoMaker
https://motionarray.com/premiere-pro-...
The audio visualizer was made in adobe after effects
Using a tutorial by "Premiere Gal"
• How to Create REACTIVE AUDIO Visualizers i...
Intro Sound: Detour (Sting) - Gunnar Olsen [Copyright free, Royalty free]
Main Music: Radiant Voids [Copyright free, Royalty free]
Everything else was made using my own code in html and JavaScript alone!
i am writing this down in order that you can understand two things:
1. I did not used any (fractal) program out there to do this
2. You can do this on your own using my code
http://myzeta.125mb.com/Mandelbrot.html