TITLE: Is there a koch circle?
QUESTION [6 upvotes]: Is there some fractal like the koch snowflake, but only with many circles around a bigger initial circle, each of them surrounded by smaller circles and so on (but all of them kissing one bigger circle)? So circles instead of the triangles in a koch snowflake... If not, why?

REPLY [2 votes]: If you draw 6 smaller circles inside each circle you draw... you end up with something like a

My rendering only draws 6 iterations deep - but you could theoretically go forever.