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The formula to calculate the lenght of a paper sheet you want to fold in half lenghtwise times is :

$$L=\frac{\pi t}{6}(2^n+4)(2^n-1)$$

Where L is the lenght of the sheet, t the thickness and n the number of folds.

Determinate the minimal lenght of a sheet of paper (which thickness t=0.02mm), you want to fold :

  1. Once
  2. Twice
  3. 5 times
  4. 7 times
  5. 10 times
  6. 20 times
  7. 50 times
  8. 100 times
  9. 4,928 times
  10. 59,258 times

(Yes, I picked random numbers for 9 and 10.)

Good luck !

 
 Aug 1, 2015

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