Fractal Ruler

rulerThis one reminded me of a fractal version of the tic marks on a ruler.  It’s up there with the minimal spiral for one of my favorite illustrations of the self similarity of fractals.  As they become more complex, it becomes more and more difficult to make out the relationships between the different parts.  This one being more “one” dimensional seems to make it easier to take in.

This one feels like it is constructed out of lines rather than individual points, which seem to make the relationships less mind bending, even though the definitions only differ by a few numbers.  The moment it really sunk in that every individual point in the circles I was looking at really really was circular patterns all the way down.  I’d been looking at and computing images of various fractals for over 20 years at that point, but had never made that particular connection before.  I had to see the parts as an exact copy of the whole instead of  each one being subtly different.

 

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