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”, 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.

BibTeX

@InProceedings{OrthoFoldCut_TJCDCGGG2021,
  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},
  BOOKTITLE     = {Abstracts from the 23rd Thailand-Japan Conference on Discrete and Computational Geometry, Graphs, and Games (TJCDCGGG 2021)},
  bookurl       = {https://www.math.science.cmu.ac.th/tjcdcggg/},
  MONTH         = {September 3--5},
  YEAR          = 2021,
  PAGES         = {30--31},

  comments      = {The full paper is available as <A HREF="https://arXiv.org/abs/2202.01293">arXiv:2202.01293</A>.},
  paperkind     = {abstract},
  unrefereed    = 1,
  withstudent   = 1,
  papers        = {OrthoFoldCut_TJM},
  webpages      = {fonts/orthofoldcut},
}

Abstract:

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.

Comments:

The full paper is available as arXiv:2202.01293.

Availability:

The abstract is available in PDF (242k).

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Related papers:

OrthoFoldCut_TJM (Orthogonal Fold & Cut)

Related webpages:

Orthogonal Fold & Cut Font