Paper by Erik D. Demaine

Joshua Ani, Josh Brunner, Erik D. Demaine, Martin L. Demaine, Dylan Hendrickson, Victor Luo, and Rachana Madhukara, “Orthogonal Fold & Cut”, Thai Journal of Mathematics, to appear.

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.

This paper is also available as arXiv:2202.01293.

The paper is available in PDF (670k).
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Related papers:
OrthoFoldCut_TJCDCGGG2021 (Orthogonal Fold & Cut)

See also other papers by Erik Demaine.
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Last updated February 26, 2024 by Erik Demaine.