Snowflake-SixCircle

I love how a simple generative rule can create such lifelike structures. Can you see the rule behind this 5th-iteration hand-drawn snowflake fractal?

It starts with a simple six-pointed star skeleton:
Snowflake-SixCircle-Step1

Then each point of the star receives a circle area (inspired by almost-D3 integral Apollonian gaskets I found here):
Snowflake-SixCircle-Step2

And each circle receives a new star, and so on…
Snowflake-SixCircle-Step3

&c. &c. ad astra!

By the 4th iteration it looked like this:  Snowflake-SixCircle-Step4

 

2 thoughts on “Circle Gasket Snowflake

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