G-Code-Friendly Smooth Fractal

Hey, it looks like I invented a new flavor of fractals well suited for laser engraving! Here it is:


Here is another example:


But wait a minute, wasn’t this fractal out there for a long time?

Well, there was a similar one. I even wrote an implementation of it in Scratch:


However, that one was line-based. Mine is arc-based. See how smooth it is?


Why arc, not Bezier splines or some other cool curves? Well, G-code only supports arcs. So I had to come up with some math to smoothly connect arcs with different radiuses.
As usual, here are the sources, binaries and examples in a case you are interested:

Binaries, Sources, Examples

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