Generalization of rigid foldable quadrilateral mesh origami

By Tomohiro Tachi. 2009

262 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ab401d7e479b2b0875c53bd53fd57a0ac2eb75d2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. E. Filipov
2. Ke Liu
3. Tomohiro Tachi
4. Glaucio H. Paulino
5. Zhuhong You
6. J. Gattas
7. Levi H. Dudte
8. Pooya Sareh

Citations in the corpus

• A Framework for the Symmetric Generalisation of the Miura-ori (2015, background): “, [1] or [2]), and also freeform [3], variations on the Miura pattern.”
• Programming curvature using origami tessellations. (2016, background): “Tachi [1] finds that a generic quadrilateral structure is rigid-foldable if it is • everywhere locally flat-foldable (satisfies the Kawasaki condition) and • a non-trivial configuration (neither flat nor flat-folded states) of the structure exists.”
• Bar and hinge models for scalable analysis of origami (2017, methodology): “The folding can be performed by correcting geometric errors using the Moore-Penrose pseudo- 39 40 inverse (Tachi, 2009), or using Newton-Raphson iterations with a sufficiently small (e.g. 1/1000) increments of the eigenmode.”
• Miura-Base Rigid Origami: Parameterizations of First-Level Derivative and Piecewise Geometries (2013, background): “Particular attention has been drawn to rigid origami, a subset of origami that permits continuous motion between folded states without the need for twisting or stretching of the facets between the creases [1].”
• Origami-inspired active structures: a synthesis and review (2014, unknown): “structures that can approximate curved surfaces [186, 187, 188].”
• Geometry of Miura-folded metamaterials (2013, unknown): “aB = aA cos γA cos γB ; [11]”
• Origami tubes assembled into stiff, yet reconfigurable structures and metamaterials (2015, background): “Among various rigid folding patterns, the Miura-ori has attracted attention for its folding characteristics (22, 23), elastic stiffness properties beyond rigid folding (24, 25), geometric versatility (26, 27), and intrinsic material-like characteristics (28, 29).”