< > [Discrete](../../discrete/index.html) > Folding
### Intro
* What? <a href='http://www.pbs.org/video/nova-origami-revolution-episode/'>popular press</a>
* Why?
* Material Properties
* Manufacturability
* How?
* Physical Modeling and Design software
* Externally driven methods
* Active vs. Passive Folding
* Curved Crease Folding
### Material Properties
* <a href='http://www2.eng.cam.ac.uk/~sdg/preprint/SDG%20dissertation.pdf'>Deployable Structures: Concepts and Analysis</a>
* <a href='http://mechanicaldesign.asmedigitalcollection.asme.org/article.aspx?articleid=1737156'>Accommodating Thickness in Origami-Based Deployable Arrays</a>
* <a href='http://origami.c.u-tokyo.ac.jp/~tachi/cg/RigidFoldableCylindersCellsTachiMiuraJournalIASS2012.pdf'>Rigid foldable cylinders and cells</a>
* <a href='http://www.pnas.org/content/112/40/12321'>Origami tubes assembled into stiff, yet reconfigurable structures and metamaterials</a>
* <a href='http://iopscience.iop.org/article/10.1088/0964-1726/23/9/094012/meta'>Origami interleaved tube cellular materials</a>
* <a href='http://advances.sciencemag.org/content/1/8/e1500224'>Unraveling metamaterial properties in zigzag-base folded sheets</a>
* <a href='https://bertoldi.seas.harvard.edu/files/bertoldi/files/bas_nature.pdf?m=1484777823'>Rational design of reconfigurable prismatic architected materials</a>
* <a href='https://bertoldi.seas.harvard.edu/files/bertoldi/files/boatti_adv_mat.pdf?m=1493950537'>Origami Metamaterials for Tunable Thermal Expansion</a>
### Manufacturability
* <a href='https://www.energy.gov/sites/prod/files/2015/02/f19/QTR%20Ch8%20-%20Roll%20To%20Roll%20Processing%20TA%20Feb-13-2015.pdf'>Roll to roll processes</a>
* <a href='https://www.economist.com/news/science-and-technology/21702741-printing-conventional-rotary-presses-will-create-cheaper-electronics'>2D vs. 3D printing</a>
* Honeycombs
* <a href='https://www.researchgate.net/publication/242111263_Continuously_produced_honeycomb_cores'>Continuous uniform honeycombs</a>
* <a href='http://mechanicaldesign.asmedigitalcollection.asme.org/article.aspx?articleid=1831332'>Shaped honeycombs</a> and <a href='https://www.jstage.jst.go.jp/article/jsmea/49/1/49_1_38/_pdf/-char/en'>more exotic</a>
* Continuous shaped honeycombs: <a href='https://calischs.pages.cba.mit.edu/msec2018/buckle.pdf'>Paper</a> and <a href='https://calischs.pages.cba.mit.edu/kiri/doc/img/roller/mmvv-sequence-small.mp4'>Video</a>
* Folded sheets
* <a href='http://www.markschenk.com/research/files/PhD%20thesis%20-%20Mark%20Schenk.pdf'>overview of manufacturing approaches</a>
* <a href='http://www.foldcore.eu/'>Foldcore</a>, Yves Klett <a href='https://www.youtube.com/watch?v=xh6UNYjjjUA'>lecture</a>
* <a href='http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.87.6958&rep=rep1&type=pdf'>Basily</a>
* Thick origami
* <a href='http://origami.c.u-tokyo.ac.jp/~tachi/cg/ThickRigidOrigami_tachi_5OSME.pdf'>Rigid-Foldable Thick Origami</a>
* <a href='http://jasonku.mit.edu/pdf/THICKHINGE_ASME.pdf'>Folding thick materials with hinges</a>
* <a href='http://jasonku.mit.edu/pdf/THICKFOLDING_JMR.pdf'>Folding thick materials with crease patterns</a>
* Crease mechanics/geometry
* <a href='http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1830770'>Fold Mechanics of Natural and Synthetic Origami Papers</a>
* <a href='http://arc.aiaa.org/doi/pdf/10.2514/6.2017-1875'>Modeling and Design of Shape Memory Alloy-based Origami Structures with Smooth Folds</a>
### Physical Modeling and Design
* <a href='https://paulino.ce.gatech.edu/conferences/papers/16Liu_merlin.pdf'>MERLIN</a>
* <a href='https://www.sciencedirect.com/science/article/pii/S0020768317302408'>Bars and hinge models</a>
* Rigid Simulation: <a href='http://origami.c.u-tokyo.ac.jp/~tachi/cg/SimulationOfRigidOrigami_tachi_4OSME.pdf'>Paper</a> and <a href='http://www.tsg.ne.jp/TT/software/index.html'>Software
* Origamizer: <a href='https://pdfs.semanticscholar.org/758b/3b9cea1b8391a73ff68846011c7f480fe7a0.pdf'>Paper</a> and <a href='http://www.tsg.ne.jp/TT/software/index.html'>Software</a>
* <a href='http://apps.amandaghassaei.com/OrigamiSimulator/'>GPU simulator</a>
* <a href='https://github.com/edemaine/fold'>FOLD interchange format</a>
* <a href='http://courses.csail.mit.edu/6.849/fall12/'>Geometric Folding Algorithms</a>
* <a href='http://www.popupcad.org/'>Popup CAD</a>
* <a href='http://www.langorigami.com/article/treemaker'>Treemaker</a>
### Externally driven methods
* <a href='http://www.mit.edu/~calisch/fold/www/cardboard.html'>Laser cutting</a>
* <a href='http://www.mit.edu/~calisch/fold/www/poly.html'>Knife cutting</a>
* <a href='http://www.mit.edu/~calisch/fold/www/creasing.html'>Creasing</a>
* <a href='http://web.mit.edu/2.75/resources/random/Living%20Hinge%20Design.pdf'>Living hinges</a>
* Lamination
* <a href='https://micro.seas.harvard.edu/papers/JMD08_Wood.pdf'>Paper</a> and <a href='https://www.youtube.com/watch?v=PqUOOf-1SSU'>video</a>
* many more...
### Active vs. Passive folding
#### Prismatic Folding
<img src='popUp.png' width=600px class="center">
* <a href="KinematicPaperMechanisms.pdf">Paper Mechanisms</a>
* <a href="https://youtu.be/Vjjw0vADWdU">Dancing Bot</a>
* <a href="GeometricMechanicsPeriodicOrigami.pdf">Mechanics of Periodic Origami</a>
#### More Prismatic Folding (Systems)
<img src='system.png' width=600px class="center">
* <a href="ProgrammingCurvatureOrigamiTessellations.pdf"> Programming Curvature with Origami Tessellation</a>
* <a href="ActionOrigamiSystemsSphericalMechanisms.pdf">Action Origami and Spherical Mechanisms (diagrams pg.20, spherical linkage pg.28)</a>
* <a href="ProgrammableAssemblyFoldableStrings.pdf"> Programmable Assembly with Moteins (Foldable Strings)</a>
* <a href="Self-DeployingOrigamiStructuresMisalignedCreasePatterns.pdf"> Self-Deploying Origami Structures</a>
* <a href="TopoOptForOrigamiActiveMechanisms.pdf"> Topo Optimization for Active Origami Mechanisms</a>
### Curved Crease Folding
<img src='curveCrease.png' width=600px class="center">
* <a href="CurvedCrease.pdf"> Curved Crease </a>
* <a href="GeometricMechanicsCurvedCrease.pdf"> Mechanics of Curved Crease Origami</a>
* <a href="RigidOrigamiCurvedFolding.pdf"> Rigid Origami Curved Folding </a>
* <a href='https://arxiv.org/abs/1502.03191'>Characterization of Curved Creases and Rulings: Design and Analysis of Lens Tessellations</a>
* <a href='https://dspace.mit.edu/handle/1721.1/93013'>Duks Koschitz on David Huffman's curved crease designs</a>
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