The first point raised was that it is difficult, when presented with a series of individual plots, to see the relationship between them. I don't think I actually presented a series in that sense with that intention, but here's one which I hope will help. You will see that I have marked on each the area to be magnified for the next plot.
The other query is of a rather more technical nature. I realised, reading the emails, that I had not explained - or not explained clearly enough - the process by which a fractal is produced. Fractals are produced naturally or artificially - in a computer. In either case (matter in the first instance, data in the second) becomes the input for a process which wreaks a small change in it. The slightly modified data or matter (the output from the process) then becomes the new input. It is fed back into the process and modified again in the same manner, before becoming output once more. The new output is fed back in... the process being repeated, usually thousands of times without variation, to produce the fractal, which may be either of two types: self-repeating or self-similar.