"Friday" Fractal XXVIII

i-5fa164d56e9d389fb1b157d774499a8c-6thcandle.jpgI'm a bit late on the Friday Fractal this week, mostly because I've been busy with my son's 6th birthday party. Since Roland adores these fractals almost as much as I do, I told him he could make this week's fractal. (That's another reason we're late... he has school on Fridays, and had the party yesterday.) He understands the basic premise behind a fractal--a pattern repeats, but with differences--enough to occasionally point them out to me in nature and art. When he sits down in front of the computer, however, he just wants to pick wild colors and weird shapes. I can't say as I blame him--it's fun. He started with a base formula, an Epilinski set (a curving variation of the Sierpinski triangle) which was preloaded into our program, and then twisted variables and colors to his heart's content. Eventually, he announced he was done. He zoomed in and out to show me his work (zooming being the most entertaining part of fractal creation) so we decided to include a few frames, increasing in detail. First, the "whole" fractal:

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Zooming in for a closer look:

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...and closer...

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...till we reach a place Roland calls "Mountain Cliffs", where rock-climbers are challenged by great fractal heights:

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Thanks, Roland, for this week's fractal, and have a happy birthday!

Fractals made 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.

Isn't your blog mostly about art, not science?

It's been a while since I used ChaosPro but I recognised those colours immediately! Roland must be the youngest fractalist I've ever come across... :D