@InertialObservr @sfera314 After making the fractal of complex values that diverge to inf. modulus in the power tower, I looked at dynamics of the points that neither converge nor diverge. Each frame is one step up the power tower. Weird: there's clear 3-periodicitypic.twitter.com/iWZmFjDUW9
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It turns out most (all?) initial values reach integer-periodic loops. In this image, black is the diverging fractal, blue points converge, orange points (small blob to the left of blue) reach a 2-periodic state, huge swathes (green) are 3-periodic. Red: 4-periodic, purple: 5pic.twitter.com/N3GKr6tcgw
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Replying to @AndrewM_Webb @sfera314
your content is awesome
4:54 PM - 24 Aug 2019
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