Evan Zodl : The unexpected math of origami

 Evan Zodl·TED-Ed
The unexpected math of origami 
Summary 

I’m Japanese and For me, this is a scientifically unexpected math story but it is the Origami of Japanese. Origami means to fold a single square sheet of paper. It can be transformed into almost any shape by only folding.  For children, the rule of Origami was only not to cut the paper. 

However, it seems to have four mathematical rules. It has areas that never touch,1) of course, the next mountain fold is a valley fold, and 2) angles add up 180 degrees. 3) However, when we were children, we didn’t know that, but we could make cranes! 

By folding the crease pattern into the flat base, it means by narrowing, bending, and sculpting flaps, the 2D base becomes and shows some parts like 3D! For example, you can create a mouth of a crane or a movement of wings, right?

When we were children, we imagined a lot of crease patterns in our brains, though, in this generation, in computers, it can show beautiful crease patterns. We can’t think that this is the Japanese Origami from the 17th century, it leads to using airbags, solar arrays, self-folding robots, and even DNA nanostructures. Furthermore, I've heard that it prevents you from Alzheimer's disease because you can use your hands a lot. Enjoy Origami and you must design incredibly complex shapes!