This is a 3D-section of the four dimensional cubic parameter space (the iteration formula is z -> z^3 - 3a^2 z + b), the axis a_real pointing into the fourth dimension, the 3D-slice is performed at a_real = 0.6. The red set is a part of M+, the grey set of M-. The motive is somewhat rotated.
The image is rendered using a special module for Ultra Fractal, the module written by my very dear friend Greenseng her on dA. All his modules, as well as mine can be downloaded from here. Resized 6400x 4800. Small color adjustments is performed. All this postprocessing by Photoshop.
Regarding deep zooms in the Mandelbrot set, if you check out my deviation Cauliflowerfort and click the link under "Artist's Comments", from page 4 you can follow the entire zoom sequence in 28 steps
.. and from the middle of the nineties there is a fantastic TV program about fractals, Colors of Infinity by Arthur Clarke
I like how you put all the math etc. here underneath your work, I noticed #UndeadAcademy[link] does that too. I really overlooked the power that comes from this piece.
Regarding deep zooms in the Mandelbrot set, if you check out my deviation Cauliflowerfort and click the link under "Artist's Comments", from page 4 you can follow the entire zoom sequence in 28 steps
.. and from the middle of the nineties there is a fantastic TV program about fractals, Colors of Infinity by Arthur Clarke