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by floatrock 821 days ago
The hows-it-done article describes the meta-pixel pattern concept then gives you the "clock-ratio" of the periodicity:

> In addition, the pattern has a period of 35328, so advancing 35328 generations will cause the generation at the meta level to advance by 1.

I would even say this time dilation is necessary because the pattern's self-similarity is across time, and if the two levels operate at different clocks, you need to slow down the next level as it comes up to the self-similar animated view of the prior level.

In other words, the structure at level n requires 35328 iterations of the self-similar structure at level n+1, so if you're bringing n+1 up to the self-similar view of n, you need to slow down n+1 as it's coming up to also hit the time-based self-similarity.

I wonder then if there's something like a time-invariant constant, maybe along the lines of the "computational complexity" of any view remains constant across all levels of zoom.