I thoroughly enjoyed reading that. You have convinced me. I
always like entertaining my imagination with the concept of
infinite fractals since my first fractal 25 yrs ago - yet
something kept me from believing it was anything but a
fascinating side effect of graphing particular formulas a
certain way that resulted in self similar patterns. They make a
nice analogy to some real world systems in a rough way but upon
stricter analysis the fractals disappear. That being said, I
will continue my lifelong on and off fascination with fractals
and some of their properties. I have a general "rule of thumb"
that for each place that there is a gap, you will find another
gap within that gap, and so on. There is a point (not literally
a point) where things "stop" but until then, a "gaps within gaps
within gaps within gaps" is a useful way for me to visualize
reality from the macro to the micro as it were. Cracks within
cracks. It does have an end, just like a fracture ends with the
material yet it can produce some interesting effects until that
point in time.... well space.. well.. not space either... and
not really a point at all... but I think you know what I mean.
