Optimize the Length of the Crease of a Folded Piece of Paper
Optimize the Length of the Crease of a Folded Piece of Paper
A sheet of legal paper is 8.5 by 11.75 inches long. The lower-left corner is brought to a point inches from the upper-left corner and folded to form a crease. This Demonstration shows a graph of the crease length as a function of and a diagram of the folded paper. By moving the slider, you can estimate the length of the shortest and longest possible crease. The exact shortest possible crease (≈11.04) and the exact longest possible crease ((47-9≈12.78) may be determined by using Mathematica or traditional calculus techniques.
x
x
51
3
8
47
68
47
2
13
)