Parallel variations of the Mandelbrot set
The parallel variations of the [Mandelbrot set] are drawn by taking a series of rotated planes though a tube that pass the center axis. I have called them parallel from a visual perspective, by the fact that they are all generally the same shape, yet all unique bar for the exception when a plane is the planar axis. On these two planes, when i = 0 and j = 0 the Mandelbrot Set is drawn.

rotated cross sectionsParallel variations of the Mandelbrot set
3d model in 2d planes

4d model in 3d shapes