Mathematics of Securing a Box With a Single Rubber Band

In this article, we study the configuration of a rubber band wrapped around a (sweet) box. The rubber band is a loop trying to attain minimum length. We, therefore, study such curves, also known as closed geodesics, on a cuboid which is the typical shape of such a box. The arguments should be access...

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Bibliographic Details
Published in:Resonance 2021-06, Vol.26 (6), p.841-850
Main Authors: Jayanth Vyasanakere, P., Nityananda, Rajaram
Format: Article
Language:English
Subjects:
Classroom
Education
Geometry
Humanities and Social Sciences
Mathematics
multidisciplinary
Science
Science Education
Secondary school students
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Summary:In this article, we study the configuration of a rubber band wrapped around a (sweet) box. The rubber band is a loop trying to attain minimum length. We, therefore, study such curves, also known as closed geodesics, on a cuboid which is the typical shape of such a box. The arguments should be accessible even to a high school student, while the conclusions have elements of surprise and hence interest.
ISSN:0971-8044
0973-712X
DOI:10.1007/s12045-021-1183-3