Wow, this is something entirely different from what I expected.
Let me start off by saying that this is something well-worth exploring in the form of a game. From my experience, video games are a bunch of simple ideas, expressed in dumbed-down, creative ways for an audience to enjoy the experience of living/solving them. And I think there's a bunch of stuff here that can be simplified into a super-digestible game format. The beauty of fractals, their nature to be the same no matter how deep you look, all this can be used in a picturesque and both literal and metaphorical way to spark interest and fun.
I don't know if you are interested in this, though. Just my two cents on the topic.
Cheers!