Divide Paper into Fifths:
Fujimoto Approximation


Fujimoto Approximation
Interestingly, you can “eye-ball” a 1/5 division and get surprisingly good results if you employ Fujimoto’s Approximation. This method decreases the initial error by a half every time you make a fold. Although it is an approximation, the final result is often good enough to proceed with your origami folding.



Fujimoto Approximation



Divide Paper into Fifths: Fujimoto Approx.


  • Start on the left-edge of the paper and make a pinch fold at a location which you estimate to be approximately 1/5th of the length of the paper.
    Call this pinch mark “A”.


  • Fold the right-corner of the paper so it meets with “A”. Make pinch fold “B”.


  • Fold the right-corner of the paper so it meets with “B”.
    Make a pinch fold “C”.


  • Fold the left-corner of the paper to meet with “C” and make pinch fold “D”.


  • Fold the left-corner of the paper to pinch mark “D”. Press down to form crease “E”. Assuming that your initial pinch “A” is not too far off, crease E will be quite close to the true 1/5th division.


  • At this point, it is just a matter of folding the right side of the paper in half to get 2/5th segments.


  • These are then folded in half to get five 1/5th divisions.


    Fujimoto’s approximation works for any divisions and any angle too. The mathematics behind the Fujimoto Approximation is discussed in Tom Hull’s book Project Origami: Activities for Exploring Mathematics. You can also learn more about this approximation here.





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