Origami Design

[Mei Li Wu]

Ifyou go one level up, to the level of true origami mastery, where one tries to devise their own model, that frustration can be even higher. This is because, only a small percentage of origami enthusiasts have ever managed to become a true origami artist, one capable of designing their own models.

It is strange to see how many people believe an authentic origami design requires special skills. The belief that a true origami artist somehow sees the whole process in advance is probably the most hindering belief newcomers to the origami world can have.

For reasons beyond understanding, the internet is full of origami tutorials teaching you how to fold almost any model. However, even though those tutorials are nice and easy to understand, and their authors have put a lot of effort to produce them, they are hardly of any use if you want to understand and ultimately learn the theory behind origami.

On one of the origami mailing lists I am subscribed to someone asked:

How do the contents of this book compare with Fuse's two previous (but out-of-print) books on spirals? Does it include everything from those two books (and presumably a bit more)?

Both books include some models that aren't included in "Spiral: Origami Art Design". For example, "Let's Fold Spirals" included quite a couple of boxes that aren't in the new publication, and "Origami Spirals" includes some star shapes.

Generally, though, much of the content in Part 1 and 2, and perhaps half of Part 4 were indeed published in the two previous spiral books. I think this is actually pretty neat, because those two books are much thought after, but essentially impossible to get a hold of these days.

I will point out that in all four parts of the new book models are presented which I couldn't find in the other two books. Moreover, Part 3 is completely original, and Part 4 has a good chunk of original content.

As a disclaimer, I don't know Japanese, so I cannot say what background information Tomoko Fuse gives in the two out-of-print publications. But I think even on the models presented in both the old and new publications she gives more information in the new book. For sure, the models are presented more beautifully.

Generally, in the old books I couldn't find much mathematical explanation on how the spirals came to be, or how you could vary the patterns to create your own spirals. While Tomoko Fuse doesn't elaborate on the subject super-extensively in the new book, so definitely gives all the details I needed to understand the concept and how to apply it. I checked whether I understood it when constructing the crease pattern for -fuse-whirlpool_spiral_4_10_10 and then folding it. So I'm quite certain I "got it". So what Tomoko Fuse provides is definitely sufficient, and as mentioned in the review, will give especially the advanced folders much inspiration and joy. For beginners - sure, it'll probably be quite a challenge, perhaps too big of a challenge. But then again, we all progress with time, don't we? :)

Origami, the traditional Japanese art of paper folding, is one of my favorite Japanese traditions (along with the tea ceremony). It started in the 17th century AD at the latest and was popularized outside of Japan in the mid-1900s.

The goal of origami art is to transform a flat sheet of paper into a finished sculpture through folding and sculpting techniques, and as such the use of cuts or glue are not considered to be origami. Today, origami has evolved into a modern art form. You can find origami fashion, origami jewelry, origami furniture, origami soap packaging, origami architecture and more.

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RNA origami is a framework for the modular design of nanoscaffolds that can be folded from a single strand of RNA and used to organize molecular components with nanoscale precision. The design of genetically expressible RNA origami, which must fold cotranscriptionally, requires modelling and design tools that simultaneously consider thermodynamics, the folding pathway, sequence constraints and pseudoknot optimization. Here, we describe RNA Origami Automated Design software (ROAD), which builds origami models from a library of structural modules, identifies potential folding barriers and designs optimized sequences. Using ROAD, we extend the scale and functional diversity of RNA scaffolds, creating 32 designs of up to 2,360 nucleotides, five that scaffold two proteins, and seven that scaffold two small molecules at precise distances. Micrographic and chromatographic comparisons of optimized and non-optimized structures validate that our principles for strand routing and sequence design substantially improve yield. By providing efficient design of RNA origami, ROAD may simplify the construction of custom RNA scaffolds for nanomedicine and synthetic biology.

The data supporting the findings of this study are further documented in the associated Supplementary Information. All raw data and analysis files used in the study are available upon request from the authors.

The code used to generate RNA origami designs in this study is included in the associated Supplementary Information. Future updates to the code will be made available on GitHub ( -lab/ROAD) and on a dedicated web server with accompanying tutorials ( -design/). The code is licensed under the MIT licence.

C.G., P.W.K.R. and E.S.A. conceived the project. C.G., G.G. and E.K.S.M. performed the research. P.W.K.R. and E.S.A. supervised the project. C.G., P.W.K.R. and E.S.A. wrote the manuscript. All authors analysed the data and commented on the manuscript.

The effect of multiple folded paper aeroplanes in flight is created by an arrangement of basic geometric shapes in a range of muted and colourful shades. Complexity and simplicity characterise an endlessly intriguing design. Offering a strong, contemporary aesthetic, the 3D appearance of the original Origami Rockets design is accentuated through textured cut and uncut velvet.

ORIGAMI SIMULATOR

This app allows you to simulate how any origami crease pattern will fold. It may look a little different from what you typically think of as "origami" - rather than folding paper in a set of sequential steps, this simulation attempts to fold every crease simultaneously. It does this by iteratively solving for small displacements in the geometry of an initially flat sheet due to forces exerted by creases. You can read more about it in our paper: Fast, Interactive Origami Simulation using GPU Computation by Amanda Ghassaei, Erik Demaine, and Neil Gershenfeld (7OSME) All simulation methods were written from scratch and are executed in parallel in several GPU fragment shaders for fast performance. The solver extends work from the following sources: Origami Folding: A Structural Engineering Approach by Mark Schenk and Simon D. Guest

Freeform Variations of Origami by Tomohiro Tachi

This app also uses the methods described in Simple Simulation of Curved Folds Based on Ruling-aware Triangulation to import curved crease patterns and pre-process them in a way that realistically simulates the bending between the creases.

Originally built by Amanda Ghassaei as a final project for Geometric Folding Algorithms. Other contributors include Sasaki Kosuke, Erik Demaine, and others. Code available on Github. If you have interesting crease patterns that would make good demo files, please send them to me (Amanda) so I can add them to the Examples menu. My email address is on my website. Thanks!

VIRTUAL REALITY

This tool currently supports an interactive Virtual Reality mode for the Vive and Oculus headset and controllers (it may work on others, but it is not tested). For this to work, you must first use a WebVR enabled browser: currently only an experimental build of Chromium (with enable-webvr and -enable-gamepad-extensions flags) and the latest Firefox for Windows are supported by this app.

When you open this page with the appropriate browser, you will see a button that says "ENTER VR". Clicking this will put the app into an interactive VR mode. The hand controllers will allow you to grab the origami mesh and pull on it. This is especially interesting if you set the Mesh Material to Strain Visualization so you can see how your interactions change the internal strains in the material.

Troubleshooting:

If the simulation looks choppy, consider lowering the Animation Settings > Num Steps Per Frame setting. The origami should load up in the center of your playspace. If things load way off in the distance, you may need to reboot your headset and controllers and refresh this app. I do this through SteamVR. If you hand controllers are not appearing, try clicking the System Button (Vive) to get them to wake up. If you still have trouble connecting, try refreshing this app. WebVR is changing rapidly, if you cannot connect be sure you have the latest browser version and install any firmware updates on your headset, controllers, and sensors.

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