Wednesday, March 10, 2010

Eye Candy

What is up with THIS?

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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