What happens when the intersection of a fold line with the paper is disconnected? Does it count as multiple folds? Rich ------- Quoting James Propp <jamespropp@gmail.com>:
How many folds are needed to turn a square piece of paper into a flat figure with k holes?
As an example, you can fold a square up into a long skinny rectangle like the wrapper a drinking straw comes in, and then bend that long skinny rectangle in lots of places to create lots of crossings (and lots of holes between the crossings).
I can show that asymptotically you can get k holes with something like constant times sqrt(k) folds, but I don't know if this is best possible.
Jim Propp _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun