Sunday, 25 January 2015

paper folding - Create a 1 inch measurement


This is a follow up to the "Create a 3 inch measurement" puzzle, which got a lot of innovative solutions. Using the standard 8.5 x 11 inch paper, can you create a 1 inch measurement only by folding? Again no marking allowed. No ruler either.


One more thing. I realize that folding the 8.5 inch side three times can get you 1.06 inches. But can you do better than that? Maybe I was overdoing it, but I think I got it in more than 3 folds.



Answer



A solution in 4 folds:




1. Fold one corner down to the opposite side. We now have a triangle that is 8.5" by 8.5", and a flap below it that is 2.5" by 8".
2. Fold the flap up, and call this Flap A. Now unfold the paper and turn it upside down.
3-4. Repeat the same steps to get a Flap B.
Now, unfold the paper and just fold down Flap A and Flap B. the thin space between the two flaps should have length exactly 1".



This is because



The flaps are of length 2.5", and when folded up (or down) that is another 2.5" for a total of 5". If Flap A accounts for 5" and Flap B accounts for another 5" from either side of the 11" length of the paper, the space in between should be 1".




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