Ultra Fractal, formula Cubic Parameterspace3 in the sp3-module written by my dear friend Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from [link]
That may be cause "my fractals" are completely raw, that's without filters and heavy post works if you wanna see REALLY raw fractals, check out my so far recent journal Maybe you would appreciate my Chaotic series of fractal articles (<- click) if you have a little theoretical interest
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
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
If you wanna try some free simple fractal software, go to my journal [link] . You don't need to know the math behind