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Smooth origami animation by crease line adjustment

Tomohiro Tachi
2006 ACM SIGGRAPH 2006 Research posters on - SIGGRAPH '06  
For appropriate deformation through rigid origami simulation, keeping of the flat-foldability of originally flat-foldable vertices is necessary.  ...  Introduction A folding process of simple origami can be represented by a sequence of simple folding processes [Miyazaki et al. 1996] , but this method cannot be applied for complex origami models because  ... 
doi:10.1145/1179622.1179642 dblp:conf/siggraph/Tachi06 fatcat:fv27fkgigrggbnqmqrxaz6jdma

Origami lattices from flat sheets and patterning yield metamaterials with exotic functions

Prachi Patel
2018 MRS bulletin  
I nspired by the Japanese paper-folding art of origami, researchers have devised techniques to create complex three-dimensional (3D) lattices from predesigned flat materials.  ...  The second category has more complex unit cells, requiring the lattice to be sliced along the tops and bottoms of rows.  ... 
doi:10.1557/mrs.2018.45 fatcat:zjoiyon6wvbc7jbnkizbxo4b7e

Recent Results in Computational Origami [chapter]

Erik Demaine, Martin Demaine
2002 Origami^{3}  
This field essentially began with Robert Lang's work on algorithmic origami design [25], starting around 1993. Since then, the field of computational origami has grown significantly.  ...  The purpose of this paper is to survey the work in the field, with a focus on recent results, and to present several open problems that remain.  ...  Map Folding: Sequence of Simple Folds In contrast to the complex origami folds arising from reaching folded states [8, 14] , we can consider the less complex model of simple folds.  ... 
doi:10.1201/b15735-3 fatcat:paa7j7zqjnbohewiaalhuxx2du

From flat sheets to curved geometries: Origami and kirigami approaches

Sebastien J.P. Callens, Amir A. Zadpoor
2018 Materials Today  
The centuries-old art forms of origami and kirigami could offer elegant solutions, involving only folding and cutting to transform flat papers into complex geometries.  ...  Fabricating arbitrarily complex three-dimensional geometries requires the ability to change the intrinsic curvature of initially flat structures, while simultaneously limiting material distortion to not  ...  Acknowledgments This research has received funding from the European Research Council under the ERC grant agreement n° [677575].  ... 
doi:10.1016/j.mattod.2017.10.004 fatcat:rrgjacoaxjeqrijfzxr7kr5yda

Some assembly needed

Ian Stewart
2007 Nature  
Delving into its complexities allows the construction of elaborate and useful structures from simple, flat templates.  ...  Origami, the ancient Japanese art of paper folding, is mathematically deeper than it looks.  ...  The basic problem of origami is the flat-folding problem: given a diagram of fold lines on a flat sheet of paper, can the paper be folded into a flat shape T. NOJIMA T.  ... 
doi:10.1038/448419a pmid:17653179 fatcat:u5fiwc3p2vem3nl3t7xmmraxhe

Identifying links between origami and compliant mechanisms

H. C. Greenberg, M. L. Gong, S. P. Magleby, L. L. Howell
2011 Mechanical Sciences  
</strong> Origami is the art of folding paper. In the context of engineering, orimimetics is the application of folding to solve problems.  ...  To demonstrate the feasibility of identifying links between origami and compliant mechanism analysis and design methods, four flat folding paper mechanisms are presented with their corresponding kinematic  ...  The scope and complexity of origami has exploded in the last twenty years creating many different schools of thought (Demaine et al., 2010) .  ... 
doi:10.5194/ms-2-217-2011 fatcat:bw7cb23eezcd3ghnwi47vxznue

Structural DNA Nanotechnology: From Design to Applications

Reza M. Zadegan, Michael L. Norton
2012 International Journal of Molecular Sciences  
There are two major methods to construct DNA nanostructures, and in the current review we will discuss the principles and some examples of applications of both the tile-based and DNA origami methods.  ...  In contrast, the origami method, at this time, would appear to be more appropriate for the construction of bigger, more sophisticated and exactly defined structures.  ...  Acknowledgments The authors acknowledge partial support from these ARO awards: W911NF-08-1-0109, W911NF-09-1-0218 and W911NF-11-1-0024.  ... 
doi:10.3390/ijms13067149 pmid:22837684 pmcid:PMC3397516 fatcat:qaud3ifxbfh2jjv5zr66b2ardy

Programming curvature using origami tessellations

Levi H. Dudte, Etienne Vouga, Tomohiro Tachi, L. Mahadevan
2016 Nature Materials  
Our approach enables the tailoring of origami patterns to drape complex surfaces independent of absolute scale, and quantify the energetic and material cost of doing so.  ...  We also assess the difficulty of realizing these geometric structures by quantifying the energetic barrier that separates the metastable flat and folded states.  ...  The ability to create complex origami structures depends on folding thin sheets along creases, a natural consequence of the large-scale separation between the thickness and the size of the sheet.  ... 
doi:10.1038/nmat4540 pmid:26808459 fatcat:unexnj5ehjhtzdfwb7mqqasshm

3D Printing of Complex Origami Assemblages for Reconfigurable Structures

Zeang Zhao, Xiao Kuang, Jiangtao Wu, Qiang Zhang, Glaucio Paulino, H. Jerry Qi, Daining Fang
2018 Soft Matter  
In order to achieve the 3D nature of engineered...  ...  Origami engineering principles have recently been applied to a wide range of applications, including soft robots, stretchable electronics, and mechanical metamaterials.  ...  L (mm): edge length of the flat panel l (mm): length of the hinge γ (°): characteristic angle α (°): oblique angle of the flat panel H (mm): thickness of the panel h (mm): thickness of the hinge Figure  ... 
doi:10.1039/c8sm01341a fatcat:w5tmhqfkhfevziql6sd2zjgvkm

A Comparative Study of Origami Inspired Folded Plates

Wojciech Gilewski, Jan Pełczyński, Paulina Stawarz
2014 Procedia Engineering  
In the present paper a comparative study of four origami inspired folded plate structures is presented. Longitudinal, facet, egg-box and Miuraori origami modules are used for the analysis.  ...  Origami is an old art of paper folding. From mechanical point of view origami can be defined as a folded structure.  ...  The other interesting aspect is to introduce semi-rigid or flexible connections on the borders of flat plates. Other interesting analysis is a truss model of the origami structure.  ... 
doi:10.1016/j.proeng.2014.12.050 fatcat:wwg6pvneafey5fwwogwwkwurhm

Topology and Geometry of Spin Origami

Krishanu Roychowdhury, D. Zeb Rocklin, Michael J. Lawler
2018 Physical Review Letters  
We do so by identifying a certain class of systems whose degenerate ground states can be mapped onto the folding motions of a generalized "spin origami" two-dimensional mechanical sheet.  ...  Some such anisotropic spin systems, including Cs2ZrCu3F12, map onto flat origami sheets, possessing extensive degeneracy similar to isotropic systems.  ...  So the rigidity matrix both encodes the flat spin wave band of a flat origami and reveals line nodes of nonflattenable origami.  ... 
doi:10.1103/physrevlett.121.177201 pmid:30411943 fatcat:o4s55moc7vdatfdwfbi76xt5ci

Clothing skirt designed on conical truss model

Eri Nakayama, Sachiko Ishida, Yu-Jing Liao, Ichiro Hagiwara
2013 Advances in Manufacturing  
Several applications of Origami have been tested in industrial area.  ...  Finally, the pattern is copied on felt clothing, and the scaled model of skirt on the basis of conical reverse truss model design is made.  ...  Acknowledgments Several parts of the research work were carried out by the support of Grants-in-Aid for scientific research (category S) (Grant No. 20226006). We acknowledge its aid dearly.  ... 
doi:10.1007/s40436-013-0019-0 fatcat:jq6sqrswurfdvlckch5dgebm5a

Topological transitions in the configuration space of non-Euclidean origami [article]

M. Berry, M.E. Lee-Trimble, C.D. Santangelo
2019 arXiv   pre-print
The design of such structures requires a deep understanding of the kinematics of origami fold patterns.  ...  Origami structures have been proposed as a means of creating three-dimensional structures from the micro- to the macroscale, and as a means of fabricating mechanical metamaterials.  ...  This work was done in part at the Aspen Center for Physics under grant NSF PHY-1607611.  ... 
arXiv:1910.01008v1 fatcat:7pulmewy75dp3al5dk2hz6gkqe

Origami tubes with reconfigurable polygonal cross-sections

E. T. Filipov, G. H. Paulino, T. Tachi
2016 Proceedings of the Royal Society A  
for verifying the rigid foldability of complex origami systems.  ...  Despite the higher complexity of manufacturing, origami tubes greatly extend the functionality of engineered thin sheet structures.  ... 
doi:10.1098/rspa.2015.0607 pmid:26997894 pmcid:PMC4786039 fatcat:useemrop2bf6vhrbbzvcwetlgu

Robust Folding of Elastic Origami [article]

M. E. Lee-Trimble, Ji-Hwan Kang, Ryan C. Hayward, Christian D. Santangelo
2022 arXiv   pre-print
We find that, in addition to the geometrical features of the origami, the finite elasticity of the nearly-flat origami configurations regulates the proliferation of potential misfolded states through a  ...  folding pathways, with a proliferation of geometric folding pathways as the origami structure becomes complex.  ...  Elastic origami Part of the sensitivity of competing minima to torques arises from the singular nature of the unfolded, flat origami.  ... 
arXiv:2109.10989v2 fatcat:6glt2ibyevfhhfann3nm3ot7tm
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