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.

BibTeX

@Article{OrthoFoldCut_TJM,
  AUTHOR        = {Hayashi Ani and Josh Brunner and Erik D. Demaine and Martin L. Demaine and Della Hendrickson and Victor Luo and Rachana Madhukara},
  authororig    = {Joshua Ani and Josh Brunner and Erik D. Demaine and Martin L. Demaine and Dylan Hendrickson and Victor Luo and Rachana Madhukara},
  TITLE         = {Orthogonal Fold \& Cut},
  JOURNAL       = {Thai Journal of Mathematics},
  journalurl    = {http://thaijmath.in.cmu.ac.th/index.php/thaijmath},
  VOLUME        = 21,
  NUMBER        = 4,
  MONTH         = {December},
  YEAR          = 2023,
  PAGES         = {1047--1060},

  comments      = {This paper is also available as <A HREF="https://arXiv.org/abs/2202.01293">arXiv:2202.01293</A> and from <A HREF="https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1564">the journal</A>.},
  withstudent   = 1,
  papers        = {OrthoFoldCut_TJCDCGGG2021},
  webpages      = {fonts/orthofoldcut},
}

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.

Availability:

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Related papers:

OrthoFoldCut_TJCDCGGG2021 (Orthogonal Fold & Cut)

Related webpages:

Orthogonal Fold & Cut Font