If I remember right there is a well known technique to make a 'fractal leaf' by just laying layers upon layers? I think it was mentioned in James Gleick - 'Chaos, Making a New Science'?

Don't remember the exact technique though?

"Approximate fractals are easily found in nature. These objects display self-similar structure over an extended, but finite, scale range. Examples include clouds, snow flakes, crystals, mountain ranges, lightning, river networks, cauliflower or broccoli, and systems of blood vessels and pulmonary vessels. Coastlines may be loosely considered fractal in nature.

Trees and ferns are fractal in nature and can be modeled on a computer by using a recursive algorithm. This recursive nature is obvious in these examples—a branch from a tree or a frond from a fern is a miniature replica of the whole: not identical, but similar in nature. The connection between fractals and leaves are currently being used to determine how much carbon is contained in trees."

So, yes LeeE, according to

Fractals, and Gleick too, I believe that they can be called fractals even when finite. In nature most everything you see are of a finite nature. It's in the mathematic modeling of those properties and in our mathematical treatment of QM we will see it differently, as I understands it?