Cycles and Circles (Fractal LXV)

It’s time to set clocks back an hour again, if you are in an area that practices daylight savings time. I sometimes wish we didn’t use it here in Colorado; it always manages to confuse my schedule somehow. At any rate, I figured I’d honor the turning of the wheel of time, and the changing seasons with an abstract fractal:

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Seasonal Cycles and Fractal Concentric Circles

It might not seem too recognizable, but I used the same sort of formula to create this fractal as I did these fractal trees earlier in the year. Since I’ve been messing around with animations lately, it may actually be easier to just show how a tree can turn into a wheel (or to be more precise, a fractal wheel can turn into a tree and back again.)

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Notice that the number of divisions in the branches increases (or decreases) in increments, while the change in size is gradual. It seems like a fitting metaphor for autumnal changes... the trees gradually change color and lose their leaves, but a cold snap can arrive in an instant. (Come to think of it, this might make a pretty accurate analogy for global climate change as well.)

Fractals made by the author using ChaosPro.

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Note from your fractalist: Sorry, folks, this one is a day late. I discovered early yesterday that my old website had been hacked. It has been fixed, now, although I plan to eventually remove everything from there, and repost it here somewhere.
After questioning how easily we might create useful models of our environment the other day, I started to wonder if I could even mimic our planet with a fractal.
Today, you can create your own fractal. (Don't worry, I'll still include one of my artistic fractals at the end of this post.) You don't need to download any programs, or learn any new techniques.
Something about climate change makes people want to argue. Take Greenland, for instance.

And what a session it was. Really positive response, you helped a lot of people out, and you have a good seminar presence. Was that really your first? Thanks again Ron!