Timeline for Number of not self-intersecting closed paths spanning $n$ iid uniform points
Current License: CC BY-SA 3.0
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Jan 30, 2014 at 17:05 | comment | added | Joseph O'Rourke | The maximum number of simple polygonizations (that's a key search phrase) for a set of $n$ points has been heavily studied, and is somewhere between $4^n$ and $56^n$. See this link. I don't know of a result for random points. | |
Jan 30, 2014 at 16:48 | history | asked | kaleidoscop | CC BY-SA 3.0 |