Earlier quoted context omitted.
The fault in your logic is your failure to account for the extrordinary difference in timescales involved in the creation of tablets and ferns. It's worth remembering that Charles Darwin was a geologist by training. At the time, geology was a relativly new discipline, and the first line of scientific inquiry that demanded any concept of deep time. Its development signaled the dawning realization that the Earth was a…
So what you are saying is that given enough time and some random events my tablet could actually come to existance all by itself? And who set the whole environment for this to happen?
Well, no. But there is nothing in the natural world that we know of that is implausible for development over the time scales involved.
Which is really separate from the point here, that the various fractal and fractal-like structures is that complex looking behavior and structure can emerge from very simple rule or encoding.