Optimize the Length of the Crease of a Folded Piece of Paper

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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 (
) and the exact longest possible crease (
) may be determined by using Mathematica or traditional calculus techniques.
Contributed by: John A. Boerger (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Optimize the Length of the Crease of a Folded Piece of Paper"
http://demonstrations.wolfram.com/OptimizeTheLengthOfTheCreaseOfAFoldedPieceOfPaper/
Wolfram Demonstrations Project
Published: March 7 2011