I came up last sleepless night with a fractal of my own. There are two versions of it. The first version has the following rules:

- Build a circle with radius of
*r*
- Draw inside the previous circle a circle of radius of
*r */ 2
- Draw circles below, above and sides of the previous circle, the radius of these smaller circles being
*r */ 4

Choose for a new circle the circle that’s radius is *r / *2. Repeat the previous steps *ad infinitum.*

Unfortunately on WordPress.com I can’t add the JavaScript-code where you could change the amount of iterations, so let’s just settle for pictures.

This kind of fractal might be invented already, but I haven’t seen one ever before.

Version 2 of this fractal:

The previous has a bit more complicated rules.

I made two color version of the previous too:

The second one:

Last night I was a bit playing with these fractal images in JavaScript, below is one more picture:

Perhaps this fractal of mine has at least some value of curiosity.

I try to find the time sometime in September to come back to this topic.

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*Suositellut*

Posted by Markus in Mathematics Tags: fractals