Beauty in Math - Fractals #8

Hello again.

When I first started working with fractals I learned very quickly to record everything I did so that I could recreate any image I wanted at any size without having to digitally enlarge, which can cause a pixelated look if you enlarge too much.
Unfortunately I have lost some equations over the years and can't recreate the images.
This first image is an example of one I lost the equation for. Fortunately I saved a large scale version of the image but I would love to keep exploring the detail in it. Without the equation, I can't do that :(

This second one is a bit unusual as it resembles a type of fractal called a Strange Attractor. Strange Attractors are curves that appear to orbit around multiple gravity centers in apparently random or chaotic ways. That's a fairly brief and not entirely accurate description. The mathematics involved has been used to describe weather patterns amongst other things.
The following website has a gallery of images plus the software to generate them if that takes your fancy.
ChaosScope

The unusual thing about this fractal is that it was not created with anything remotely like Strange Attractor equations. I guess there is more than one way get the same effect.

The last image is a fractal I included because I like spirals and they do feature a lot in the types of fractals I make.

Enjoy.
Richard