Paper Folding Problem

Here's a problem we investigated in Room 21.

Can you fold a square of paper to show:
2 rectangles?
4 squares?
2 triangles?

That's easy! These ones are more challenging:
Can you fold a piece of paper to show:

3 rectangles?
3 triangles?
Rectangles and triangles?

How many ways can you find to solve these problems?







Have worked them out yet?




Here's one solution: