Imagine a long thin strip of paper stretched out in front of you, left to right. Imagine taking the ends in your hands and placing the right hand end on top of the left. Now press the strip flat so that it is folded in half and has a creases. Repeat the whole operations on the new strip two more times.
How many creases are there? How many crease will there be if the operation is repeated 10 times in total?
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Problem 1 - Paper Strip
Due Date
Each problem will have a two week deadline. You must blog your answer(s) for this problem by:
Friday, October 9, 2009
Friday, October 9, 2009
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Stuck?
- - Specialize mentally by counting the creases after two folds
- - Perhaps a diagram will steady your mental image.
- - Specialize by trying it on a strip of paper.
- - Try 3 folds and 4 folds. Look for a pattern.
- - What do you want to find? Be clear and precise.
- - Is there something related to the creases that you can count more easily?
- - Check any conjectures on new examples?