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I'm sure they picked the point they're zooming in on intentionally, but I thought it was interesting when it started being radially symmetrical.

I wonder how they chose the point; trial and error, or was there some mathematical way of guaranteeing that there is something "interesting" at that point?

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As long as you keep to the "edge" of the set, I think you're guaranteed to find interesting things wherever you go. I presume this zoom was guided, the exact zoom position manually adjusted every once in a while based on what comes up.

Or they recorded it zooming out, and reversed the recording.

But they still had to find an interesting point from which to zoom out, right?

Yes, but I imagine fractal heads are like us CA heads, spending hours toying and exploring the virtual spaces we've built.

CA?

Cellular automata,. Things like Conway's game of life, rule 110 and a lot others

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