Time for more brainstrain, and I have a real stormer for you. I first came across this at a friend's house when I was about 15. I never solved it then.
Below are 2 triangles, both 13 squares by 5. Each triangle is made up of 6 different shapes, but as you can see, when you reorder them overall, a mysterious square gap appears. Why?
You can print this puzzle out, and try all the shapes for yourself. It really is not possible. Click on the picture to get a full size image.
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