I sat in on the last 10 minutes (I had crappy luck with my session selection) of a presentation at T3 this past weekend that reminded me of Recursive Explorations With Number Cycles.
The sketch below is based on the iterative rule
which has been modified to be
Under certain conditions, it appears that the points might lie on a hyperbola. At other times, it appears the points might lie on some sort of cubic. Certainly, an investigation is in order!
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