...I intentionally examined the oats and discovered that each oat had the little branch, like a tree, which had a smaller branch and then from that, a smaller, identical branch....
...which for some reason reminds me of this bit of de Morgan doggerel:
Great fleas have little fleas upon their backs to bite 'em,
And little fleas have lesser fleas, and so ad infinitum.
No, Fractals really are, like that.... they showed coastlines, snowflakes, and talked about the double universe....