It's even somewhat surprising that a positive volume is possible.
--Dan
It surprised me until I found an origami example on the internet. There's whole lot of stuff on this problem, e.g. http://www.ics.uci.edu/~eppstein/junkyard/teabag.html but I couldn't find anything on the natural question, what if instead of a square you have a disc? Can there be a positive volume? dg
_________________________________________________________________________
<< Jim asks:
<< Do any spiders build genuinely three-dimensional webs?
Just Friday I turned over an 8-inch rock from our garden0, and clinging to the bottom were two thin earthworms and a paperish thing that resembled the remains of some kind of cocoon. When that thing started flexing, I thought we were about to witness the emergence of some insect's next stage. But instead -- after about five minutes of flexing -- out walked a spider -- a black one quite fat (probably expecting) -- looking quite formidable.
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
David Gale Professor Emeritus Department of Mathematics University of California, Berkeley