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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Origami

Rigid folding analysis of offset crease thick folding

< Table of Contents for Origami
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Origami
  • Pages: 8
  • Title: Rigid folding analysis of offset crease thick folding
  • Author(s): Jason S. Ku, Erik D. Demaine
  • Keywords: folding, origami, thickness, rigid folding, configuration space
Abstract
The offset crease method is a procedure for modifying flat-foldable crease patterns in order to accommodate material thickness at creases. This paper analyzes the kinematic configuration space for the family of non-spherical linkage constructed by applying the offset crease method. We provide the system of equations that describes the parameterized configuration space of the linkage, and we visualize the two-dimensional solution space using appropriate projections onto the five-dimensional state space. By analyzing the projections over the space of flat-foldable crease patterns, we provide evidence that the flat and fully-folded states generated by the offset crease method are connected in the configuration space. We also present software for designing and constructing modified crease patterns using the offset crease method.

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