Thus spake "sue neff" <neffsens...@comcast.net> on 8/28/15 5:46 PM:
> 2) When I visited ?Le Pli? in Paris (and also when Robert Lang lectured > some time Ago at CMU in Pittsburgh) I saw a demonstration of the following: > ?Take a sheet of paper (often an origami square) make several careful folds? > Then?take scissors and after making one cut ?unfold a shape (sort of like Our > way to make a ?Betsy Ross? star). In France, I think the shape was the > Paharita Bird. Does this ?craft? have a name? This is the famous "One-straight-cut" problem, first solved in generality by Erik and Martin Demaine and Anna Lubiw. A fuller description of the problem is here: https://en.wikipedia.org/wiki/Fold-and-cut_theorem Their paper describing their solution is downloadable from Erik's site: http://erikdemaine.org/papers/FoldCut_G4G5/ A somewhat more robust (but more complex) algorithm was described by Bern Demaine, Eppstein, and Hayes at 3OSME ("A disk-packing algorithm for an origami magic trick,"); PDF downloadable from here: https://en.wikipedia.org/wiki/Fold-and-cut_theorem HTH, Robert
