creating recursive, self-similar patterns with Adobe Illustrator

Sorry if the title isn’t quite accurate, i was having trouble describing this idea with words. Here’s an example:

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It’s fairly easy to approximate with the Transform effects, but it’s not quite the same. Actually it’s perfect until you adjust the scaling parameters, then it’s forever skewed and all symmetry of the whole is lost. That is it becomes more like a coil/spiral; the edges will never meet like it would as a ring/circle.

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Also I tried to make a brush based on this pattern, thinking i could just draw a circle and set the stroke to the brush, but I couldn’t seem to pull it off.

Another thing is the hue that gradually changes with every iteration, but I might be able to approximate it with the blend tool. Any solution that can do this will be preferred, but the real goal is just to achieve the pattern.

Obviously it could be done manually, but I find myself doing this kind of (and similar) pattern(s) quite often, be it for art & illustration or technical diagrams. It would be nice if I could find a quick, clever, (accurate/precise would be a bonus) way to do it.

Answer

This can be done with a simple Blend in Illustrator.

You can use the Replace Spine command and get the blend to follow a circle. You merely have to cut the circle at one anchor point for the blend to space correctly.

Note that I selected the 5 base circles and distributed horizontal spacing so they were all equally spaced before creating the blend. This helps the blend space iterations a bit better.

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Note that in the blend, the first and last circles actually overlap. That blue circle is underneath the purple circle. Coloring may need adjustment due to this fact. It is not a good idea to remove that blue (or purple) circle because it will cause the blend to change.

And it is still a blend.. so changes to those base circles will alter the entire blend.

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Attribution
Source : Link , Question Author : voices , Answer Author : Scott

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