All render video

Platform support:

1. Windows 10, 11
2. Windows 8, 7 (without ansi, set use_ansi 0 on 8 line)
3. Linux

2d fractal:

1. Mandelbrot
2. Tricorn
3. Burning Ship
4. Collatz (z = ((7 * z + 2) - cos(pi * z) * (5 * z + 2)) / 4)
5. Collatz Mandelbrot (z = ((7 * z + 2) - exp(z) * (5 * z + 2)) / 4)
6. Collatz v2 (z = ((7 * z + 2) - exp(pi * z * i) * (5 * z + 2)) / 4)
7. z = e ^ z
8. Phoenix
9. Feather
10. Newton
11. Lyapunov
12. Euler e ^ (pi * i * z)
13. Gamma
14. Zeta

3d fractal:

1. Mandelbulb

4d quaternion fractal:

1. Mandelbrot Quaternion

4d bicomplex fractal:

1. Mandelbrot Bicomplex

Compile to binary:

g++ -std=c++17 -O2 -march=native -ffast-math main.cpp -o output

Hotkey:

1. 'V' - switch fractal
2. '0' - render fullhd (create "render" folder if doesn't exist)
3. 'U' - switch on julia
4. '4568' - move Julia position (or rotate in 3d)
5. 'WASD' - move
6. 'QE' - zoom in/out
7. 'Ctrl + Scroll Mouse' - Increase preview resolution
8. 'N' - change on 3d
9. 'F' - apply 1/C transformation
10. 'RT' - change power (int steps)
11. '[]' - change power (float steps)
12. 'B' - change on buddha-render
13. 'I' - switch to 3d projection of 4d bicomplex
14. 'Y' - switch to 3d projection of 4d quaternion

For all dynamic system fractals in pure math, there is always Julia

Any formula in mathematics can be converted into a fractal

There are two main fractal formulas

1. z ^ 2
2. e ^ z

The main and most significant are Mandelbrot, Collatz, Netwon, Lyapunov