The Fold-and-Cut Problem (Erik Demaine) - 3 views
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Marcus Maertens on 29 May 13How many shapes can be obtained by folding a paper and applying just one straight cut? You'll be surprised...
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johannessimon81 on 30 May 13"The theorem is that every pattern (plane graph) of straight-line cuts can be made by folding and one complete straight cut. Thus it is possible to make single polygons (possibly nonconvex), multiple disjoint polygons, nested polygons, adjoining polygons, and even floating line segments and points." - So the you can cut any assembly of polygons but not a single curved edge (with a finite number of folds (points don't count)): useless. :-P