Paper by Erik D. Demaine

Reference:

Hayashi Ani, Josh Brunner, Erik D. Demaine, Martin L. Demaine, Della Hendrickson, Victor Luo, and Rachana Madhukara, “Orthogonal Fold & Cut”, Thai Journal of Mathematics, volume 21, number 4, December 2023, pages 1047–1060.

Abstract:

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.

Comments:

This paper is also available as arXiv:2202.01293 and from the journal.

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