Active Origami pp 157-199

# Tuck-Folding Method for the Design of Origami Structures with Creased Folds

• Edwin A. Peraza Hernandez
• Darren J. Hartl
• Dimitris C. Lagoudas
Chapter

## Abstract

Following the description of the unfolding polyhedra method for origami design in the previous chapter, here the focus switches to an origami design method applicable to a much wider spectrum of three-dimensional goal shapes. This chapter presents the tuck-folding method to solve the following origami design problem: given a goal shape represented as a polygonal mesh (termed as the goal mesh), find the shape and fold pattern of a planar sheet that can be folded to match the goal mesh, and a history of folding motion from the planar configuration of the sheet to the configuration that matches the goal mesh. The method generates a sheet comprised of the faces of the goal mesh in addition to introduced regions having two rigid faces and three creased folds. The creased folds are used to tuck-fold the added regions to form the shape of the goal mesh. We also address the implementation of the tuck-folding method in a computational environment.

## Supplementary material

978-3-319-91866-2_4_MOESM1_ESM.zip (41 kb)
Tuck_Folding_Origami_Creased_Folds (ZIP 41KB)

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## Authors and Affiliations

• Edwin A. Peraza Hernandez
• 1
• Darren J. Hartl
• 1
• Dimitris C. Lagoudas
• 1
1. 1.Department of Aerospace EngineeringTexas A&M UniversityCollege StationUSA