It is always hard to draw a polygon (eg. decagons, nonagons, heptagons...etc) with compass and ruler. The method I discovered is to divide a polygon into smaller triangles.  That means you only have to concentrate on one intersected triangle and the relations between the vectors. The other triangles are just repetitions.

Your challenge is how to find out the angle phi for other n-polygons (general knowledge: Trigonometry, Maths - Secondary School). I give you a hint in the following pdf for n-gons. 

If you have the solution for phi, don't post it here, they have to solve for their own! 

So let's get started how to fold the pentagon.

Step 1: The Crease Pattern

Red: valley folds
Blue: mountain folds
Black: cutting lines
<p>guys iam a 10th grade student. i really dont understand ur math up there so pls help</p>
Too easy!!! And super awesome!!
Great instructable! This is really cool.
WOW, yours is a very useful discovering!
Thanks :)

About This Instructable


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Bio: Studying geometry patterns, Computer Graphics. Researching how to (re)construct wireframes, shapes of geometric objects without rendering and unwrapping methods.
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