The infinitely recursive wonder of Fractals is one of my favorite topics. I recently saw this video linked on a couple different sites & thought it was pretty mind-blowing.
I'd recommend seeing the full size video several times. Just try to wrap your head around it (& through it..)
The only thing missing is the 'fractal machine elves'.
It's very strange to think we are perceiving a seemingly solid structure that doesn't exist in the physical world. It is an object of pure imagination.
Perhaps that jackass Plato was actually onto something with his theories of abstract, idealized forms.
With the emerging technology of 3D printing, creating an 'impossible' object like this will simply be a matter of ever-increasing resolution, like the DPI (dots per inch) in current imaging processes.