Department
Mathematics
Document Type
Article
Publication Date
4-2008
Abstract
An optimization problem that appears as an exercise in most modern calculus textbooks is the crease length problem. Here, Ellermeyer provides a solution of the general crease length problem in which all possible foldings of a corner to the opposite edge are taken into account. One of his findings will be that the minimum crease length is never produced by a Case 2 fold and hence that the general crease length problem always yields a different minimum than the constrained problem that is treated in the textbooks. He discovers a criterion that determines which foldings must be performed in order to achieve the minimum (and maximum) crease lengths.
Journal Title
Mathematics Magazine
Journal ISSN
0025-570X
Volume
81
Issue
2
First Page
138
Last Page
145
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