Modular origami is so related to geometry, it could easily be used for a math fair project. This simple unit can create many, many polyhedrons (multiple sided objects, a cube being one example). This unit is one of those amazing units. It's a surprisingly easy module to make. However, you may need many pieces to create something truly extraordinary. Just a little patience is all it takes!
http://d5kh2btv85w9n.cloudfront.net/b/b4/Fold a Penultimate Module Step 9 Version 2.360p.mp4
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Notice how the edges of the module are "open" like "pockets." Insert one of the triangular flaps into that pocket. It doesn't matter how many layers there are, just make sure it fits. It should create a locking effect.
http://d5kh2btv85w9n.cloudfront.net/3/35/Fold a Penultimate Module Step 10 Version 2.360p.mp4
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Make a triangle by inserting another triangle into the pocket of the second one and let the flap of the first one go into the third one, and you're finished!
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