Paper by Erik D. Demaine

Reference:

Brandon M. Wong and Erik D. Demaine, “Algorithmic Transitions between Parallel Pleats”, in Origami⁸: Proceedings of the 8th International Meeting on Origami in Science, Mathematics and Education (OSME 2024), Melbourne, Australia, July 16–18, 2024, to appear.

BibTeX

@InProceedings{PleatTransitions_OSME2024,
  AUTHOR        = {Brandon M. Wong and Erik D. Demaine},
  TITLE         = {Algorithmic Transitions between Parallel Pleats},
  BOOKTITLE     = {Origami$^8$: Proceedings of the 8th International Meeting on Origami in Science, Mathematics and Education (OSME 2024)},
  bookurl       = {http://www.impactengineering.org/8OSME/},
  ADDRESS       = {Melbourne, Australia},
  MONTH         = {July 16--18},
  YEAR          = 2024,
  PAGES         = {to appear},

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

Abstract:

We present a universal algorithm for constructing a locally flat-foldable crease pattern transitioning between two arbitrary sets of parallel pleats across a diagonal ridge crease. In other words, we generalize uniaxial ridge level shifters. We prove that such a transition is possible if and only if the number of input creases has the same parity on both sides, and the alternating sum of the intercepts of the input creases is the same on both sides. Finally, we show how such transition units can be useful for terminating dense bouncing.

Length:

The paper is 16 pages.

Availability:

The paper is available in PDF (513k).

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