Fold-and-Cut Examples (Erik Demaine)


"Take a piece of paper, fold it into any flat origami, and make one complete straight cut (i.e., a cut along a line). Now unfold the pieces, and see what you get. Are all shapes possible? Refering back to the original sheet of paper, what patterns of cuts can be achieved by this process?

The crease patterns at this site all have the property that, when folded up, a single complete straight cut can simultaneously cut all the bold lines and no more, producing the desired shape or shape."

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