These fractals were created using the excellent, free, mathematics / artistic software called Mandelbulb-3D. The software uses math equations to generate amazing fractal object images.
Learning to use Mandelbulb 3D can be easily accomplished by inputting a set of existing parameters, generating a 3D fractal, then experimenting by modifying the input values and regenerating the fractal. To that end I have created 60 fractal images using various formulas and provide the parameters for each image for experimentation and learning.
The input parameters for all the fractal objects seen here can be found on my GitHub page HERE.