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arxiv 2202.01293 v2 pith:FRUMCPD7 submitted 2022-02-02 cs.CG math.MG

Orthogonal Fold & Cut

classification cs.CG math.MG
keywords foldorthogonalalongangleaxis-alignedcharacterizecreasesfolding
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We characterize the cut patterns that can be produced by "orthogonal fold & cut": folding an axis-aligned rectangular sheet of paper along horizontal and vertical creases, and then making a single straight cut (at any angle). Along the way, we solve a handful of related problems: orthogonal fold & punch, 1D fold & cut, signed 1D fold & cut, and 1D interval fold & cut.

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