Paper by Erik D. Demaine

Reference:

Amartya Shankha Biswas, Erik D. Demaine, and Jason S. Ku, “Efficient Origami Construction of Orthogonal Terrains using Cross-Section Evolution”, in Origami⁷: Proceedings of the 7th International Meeting on Origami in Science, Mathematics and Education (OSME 2018), volume 2, Oxford, England, September 5–7, 2018, pages 631–646, Tarquin.

BibTeX

@InCollection{OrthogonalTerrain_Origami7,
  AUTHOR        = {Amartya Shankha Biswas and Erik D. Demaine and Jason S. Ku},
  TITLE         = {Efficient Origami Construction of Orthogonal Terrains using Cross-Section Evolution},
  BOOKTITLE     = {Origami$^7$: Proceedings of the 7th International Meeting on Origami in Science, Mathematics and Education (OSME 2018)},
  bookurl       = {http://osme.info/7osme/},
  PUBLISHER     = {Tarquin},
  ADDRESS       = {Oxford, England},
  MONTH         = {September 5--7},
  YEAR          = 2018,
  VOLUME        = 2,
  PAGES         = {631--646},

  withstudent   = 1,
  length        = {16 pages},
}

Abstract:

We introduce a new method of origami construction, using cross section diagrams. Instead of beginning our construction from a 2-dimensional sheet of paper, we consider a 1-dimensional cross section moving forwards in time. We obtain conditions for the validity of a particular cross section evolution sequence, and prove that the resulting folded state is isometric to a flat sheet of paper.

Subsequently, we use this machinery to design an efficient construction of orthogonal terrains, with arbitrary rational extrusion heights.

Length:

The paper is 16 pages.

Availability:

The paper is available in PDF (667k).

See information on file formats.

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