A **fractal** has been defined as “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,” a property called self-similarity.

Having watched a documentary on fractals I began to understand the concept of fractals and self-similarity. Everywhere in the natural world, if you care to look, you will see fractals. Whether it is in the outline of a mountain range or in the graphing of a beating heart, scientists chart the repetitive nature of the fractal.

We have fractals to thank for the ever reducing size of our cell phones as internal receivers shrink smaller and smaller yet remaining a likeness of what came before. Similarly scientists have proven that in a forest there is a correlation between the number and size of trees and the number and size of branches on any given tree!

So too it is with veins, whether it is the veins of a living creature or the “veins” of our Mother Earth,

life-giving sustenance flows through both and we will not survive if either collapses! **ENJOY . . .**

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I think I’ll show this to the Math teachers at school!

Pretty patterns

Sunrise, or sunset in the last two?

Either way, the colors are stunning!

Sunset, a photo taken from the deck of our home.

It’s good that you found so many examples close at hand.

This is fascinating stuff… I need to read more about it! Lovely post!