ERIC Number: EJ959242
Record Type: Journal
Publication Date: 2011-Mar
Abstractor: As Provided
Dynamics of Folds in the Plane
Krylov, Nikolai A.; Rogers, Edwin L.
College Mathematics Journal, v42 n2 p108-114 Mar 2011
Take a strip of paper and fold a crease intersecting the long edges, creating two angles. Choose one edge and consider the angle with the crease. Fold the opposite edge along the crease, creating a new crease that bisects the angle. Fold again, this time using the newly created crease and the initial edge, creating a new angle along the chosen edge. It is well known that the angles thus constructed approach a limiting value independent of the initial angle. In this article, we generalize this process relaxing the requirement that the long edges be straight and that the folds be angle bisectors.
Descriptors: Mathematical Models, Mechanics (Physics), Motion, Geometry, Mathematics Education, College Mathematics, Mathematics Instruction, Teaching Methods
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Authoring Institution: N/A