One often cited description that Mandelbrot published to describe geometric fractals is “a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole”; this is generally helpful but limited. Authorities disagree on the exact definition of fractal, but most usually elaborate on the basic ideas of self-similarity and an unusual relationship with the space a fractal is embedded in.  One point agreed on is that fractal patterns are characterized by fractal dimensions, but whereas these numbers quantify complexity (i.e., changing detail with changing scale), they neither uniquely describe nor specify details of how to construct particular fractal patterns.
Leeched like lime from this soil
The grains of me are gone
And falling away
Numbers swirl and tumble
Names all interchange
Heads of friends are hooded
Keys each night re-cut
In 66 we went to Spain you told me
The year before Charlene was born
Our wedding day was cloudy
Some song suggested
Am I portable?
Is there a jar somewhere to catch what is left?
Or do these memories become minerals
Feeding some darker place?
Hold me softly my love
For I am leaving