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”, in Abstracts from the 23rd Thailand-Japan Conference on Discrete and Computational Geometry, Graphs, and Games (TJCDCGGG 2021), September 3–5, 2021, pages 30–31.

We characterize the shapes that can be produced by “Orthogonal Fold & Cut”: folding a rectangular sheet of paper on vertical and horizontal creases, and then making a single straight cut. We also solve a handful of simpler related problems: Orthogonal Fold & Punch, 1-Dimensional Fold & Cut, Signed 1-Dimensional Fold & Cut, and 1-Dimensional Interval Fold & Cut.

The full paper is available as arXiv:2202.01293.

The abstract is available in PDF (242k).
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Related papers:
OrthoFoldCut_TJM (Orthogonal Fold & Cut)

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Last updated September 20, 2023 by Erik Demaine.