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Rigidity of Origami Universal Molecules

  • John C. Bowers
  • Ileana Streinu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7993)

Abstract

In a seminal paper from 1996 that marks the beginning of computational origami, R. Lang introduced TreeMaker, a method for designing origami crease patterns with an underlying metric tree structure. In this paper we address the foldability of paneled origamis produced by Lang’s Universal Molecule algorithm, a key component of TreeMaker.

We identify a combinatorial condition guaranteeing rigidity, resp. stability of the two extremal states relevant to Lang’s method: the initial flat, open state, resp. the folded origami base computed by Lang’s algorithm. The proofs are based on a new technique of transporting rigidity and flexibility along the edges of a paneled surface.

Keywords

Dihedral Angle Edge Incident Outerplanar Graph Splitting Event Splitting Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • John C. Bowers
    • 1
  • Ileana Streinu
    • 2
  1. 1.Department of Computer ScienceUniversity of MassachusettsAmherstUSA
  2. 2.Department of Computer ScienceSmith CollegeNorthamptonUSA

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