Orthogonal Fold & Cut

Discrete and Computational Geometry, Graphs, and Games

Authors

  • Joshua Ani
  • Josh Brunner
  • Erik D. Demaine
  • Martin L. Demaine
  • Dylan Hendrickson
  • Victor Luo
  • Rachana Madhukara

Keywords:

origami, folding, orthogonal, characterization

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.

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Published

2023-12-31

How to Cite

Ani, J., Brunner, J., Demaine, E. D., Demaine, M. L., Hendrickson, D., Luo, V., & Madhukara, R. (2023). Orthogonal Fold & Cut: Discrete and Computational Geometry, Graphs, and Games. Thai Journal of Mathematics, 21(4), 1047–1060. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1564

Issue

Vol. 21 No. 4 (2023): December

Section

Articles