I am writing my final paper in the field ob computer enginering my work are on fractals. Some time ago, I found this fractal. Now I need to refer to it in my work but i have no clue what is it called. I searched the internet but found nothing really useful. The only mention fractal that I found is called an outward circle but its not exactly the same. http://pixgood.com/fractal-circle.html! My fractal :
It looks to me like you've got a slight variation of a standard visualization of the Cayley graph of the free group on two generators. If you take a look at the Wikipedia page on Cayley graphs, one of the first images you see is something like so:
Now, if we just place disks at the vertices scaled appropriately, we pretty much generate your image:
Of course, it's fractal properties will depend on the choice of scaling factor between steps. It think I've chosen a somewhat smaller scaling factor than you to generate my image.
Fractal Kvaziklever according to http://grafika.me/node/206