What is Origami?
Origami, which literally translates to “folding paper,” is a Japanese practice dating back to at least the 17th century. In origami, the same simple concepts yield everything from a paper crane with about 20 steps to this dragon with over 1,000 steps, to a starshade.
As the space telescope prepares to snap a photo, the light of the nearby star blocks its view. But the telescope has a trick up its sleeve: a massive shield to block the glare. This starshade has a diameter of about 35 meters— that folds down to just under 2.5 meters, small enough to carry on the end of a rocket. Its compact design is based on an ancient art form.
A single, traditionally square sheet of paper can be transformed into almost any shape, purely by folding. Unfold that sheet, and there’s a pattern of lines, each of which represents a concave valley fold or a convex mountain fold.
Origami artists arrange these folds to create crease patterns, which serve as blueprints for their designs. Though most origami models are three dimensional, their crease patterns are usually designed to fold flat without introducing any new creases or cutting the paper.
The mathematical rules behind flat-foldable crease patterns are much simpler than those behind 3D crease patterns— it’s easier to create an abstract 2Ddesign and then shape it into a 3D form.
4 Rules for Flat-foldable Crease Pattern
There are four rules that any flat-foldable crease pattern must obey.
First, the crease pattern must be two-colorable— meaning the areas between creases can be filled with two colors so that areas of the same color never touch. Add another crease here, and the crease pattern no longer displays two-colorability.
Second, the number of mountain and valley folds at any interior vertex must differ by exactly two— like the three valley folds and one mountain fold that meet here. Here’s a closer look at what happens when we make the falls at this vertex. If we add a mountain fold at this vertex, there are three valleys and two mountains. If it’s a valley, there are four valleys and one mountain. Either way, the model doesn’t fall flat.
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The third rule is that if we number all the angles at an interior vertex moving clockwise or counterclockwise, the even-numbered angles must add up to 180 degrees, as must the odd-numbered angles. Looking closer at the folds, we can see why. If we add a crease and number the new angles at this vertex, the even and odd angles no longer add up to 180 degrees, and the model doesn’t fold flat.
Finally, a layer cannot penetrate a fold. A 2D, flat-foldable base is often an abstract representation of a final 3D shape. Understanding the relationship between crease patterns, 2D bases, and the final 3D form allows origami artists to design incredibly complex shapes. Take this crease pattern by origami artist Robert J. Lang.
The crease pattern allocates areas for a creature’s legs, tail, and other appendages. When we fold the crease pattern into this flat base, each of these allocated areas becomes a separate flap. By narrowing, bending, and sculpting these flaps, the 2D base becomes a 3D scorpion.
Now, what if we wanted to fold 7 of these flowers from the same sheet of paper? If we can duplicate the flower’s crease pattern and connect each of them in such a way that all four laws are satisfied, we can create a tessellation or a repeating pattern of shapes that covers a plane without any gaps or overlaps. The ability to fold a large surface into a compact shape has applications from the vastness of space to the microscopic world of our cells.
Uses of Origami
Using principles of origami, medical engineers have re-imagined the traditional stent-graft, a tube used to open and support damaged blood vessels. Through tessellation, the rigid tubular structure folds into a compact sheet about half its expanded size.
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5 Ways Origami Will Save Your Life
Origami principles have been used in airbags, solar arrays, self-folding robots, and even DNA nanostructures. Who knows what possibilities will unfold next.
It’s not just paper cranes. Here a list of how origami can change your life for the better. Origami can really save your life in difficult situations.
1. Helping you with math
Origami, like many other parts of life, has a heavy basis in math. Next time you’re stuck on a geometry problem, try reasoning it out with paper folding. Plus, it’s a lot more fun than calculus.
2. Making an awesome gift
If you’re broke but still want to give your friends and family something for Christmas, origami is a really cheap and unique gift. A lot of patterns can be found on the internet, and you can even just use notebook paper. Get ready to impress all of your friends with your craftiness.
3. Improving your health
Doing origami is very relaxing, and comes with all of the benefits of mindfulness and other meditation practices. Folding is also very good for flexing your brain muscles and improving eye-hand coordination. Even some of the simplest patterns can exercise your visual reasoning skills. With giant origami, you can even get some exercise.
4. Impressing someone special
Fresh cut flowers are expensive and can be a sad reminder that your love will eventually die too, along with those carnations. Paper flowers are cheap, original, and low maintenance. Plus, since they aren’t actually alive, they can be kept for a long time.
5. Preventing boredom
Origami can give you something to do, no matter where you are. And unlike anything digital, you’ll have something to show for your wasted time.
Doing origami will always set you apart, and is a great non-sequitur for events and parties. It makes you seem handy, smart, and sophisticated.
Why buy a desk organizer when you can make one? With so many patterns and paper designs, your office decor will never get old.