The Julia set is a 4D fractal, that is defined as the points where the z(n) = z(n-1) + c series is divergent.
As n and c are both complex numbers, they define the 4 dimensions of the set.
This app renders 3 arbitrary dimensions out of the 4. The 4th dimension can be manipulated trough a slider.
The mandelbrot set is actually a 2D slice of the 4D Julia set:
The usual 2D julia set images are also slices of the 4D geometry:
The set contains
The applications runs on Linux and Windows versions, where .net 6.0 is installed.
A GPU with OpenGL 4.5 drivers is required.