Paper Folding: How to Construct an Equiangular Triangle

Paper folding or origami can be used to create intricate and stunning designs.  In addition, paper folding can also be used to teach or learn mathematics. In this post, we use a square piece of paper to construct an equiangular triangle. After the construction, we prove that the triangle is equiangular.

Steps in Constructing an Equiangular Triangle 

1. Cut a square piece of paper. For the sake of discussion, we label the square ABCD.

2. Fold at the center so that AB coincides with CD . Crease well, then unfold.

paper folding

3. Select vertex and fold so that A falls on the center line and the crease passes through D. Unfold. » Read more

Ted Talk: Robert Lang on the Mathematics and Magic of Origami

In the previous post, I have shared to you sites about origami or paper folding.  Aside from these resources, I have also posted several examples of using it in the classroom. Several of these examples are introduction to the notion of proof, and getting the square root and cube root of a number. In addition, I have also shared a video using mathematics of origami to fold  gift wraps minimizing wastage.

Rober Lang: Origami Artist

But origami is a lot more than the things you have read above. Today, the art is already used as a model for airbags and telescope in space. There is even a research for  using it in devices that will be used in heart surgery.  » Read more

Origami and Its Surprising and Stunning Applications

Last year, I shared to you about Professor Haga’s superb book on the mathematics of origami titled Origamics: Mathematical Explorations Through Paper Folding. Yesterday, I found the video below on Facebook about origami and its relationship to mathematics, as well as its numerous surprising applications. Watch and be amazed.

Sometimes, I want to believe that somehow everything is connected to everything else. Well, I think physicists already believe that.

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