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'Map Folding' printed from http://nrich.maths.org/

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Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles.

Label each quarter with same letter on both sides of the paper.

First Map

How many different ways can you fold it up?

Keep track of the ways by writing down the orders of letters from the top rectangle through to the bottom rectangle.

Second Map

Now try it with a set of six rectangles!