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ERIC Number: EJ862220
Record Type: Journal
Publication Date: 2009-Mar
Pages: 6
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0746-8342
A "Paperclip" Approach to Curvature, Torsion, and the Frenet-Serret Formulas
Hoensch, Ulrich A.
College Mathematics Journal, v40 n2 p113-118 Mar 2009
We explore how curvature and torsion determine the shape of a curve via the Frenet-Serret formulas. The connection is made explicit using the existence of solutions to ordinary differential equations. We use a paperclip as a concrete, visual example and generate its graph in 3-space using a CAS. We also show how certain physical deformations to the paperclip (e.g. bending) can easily be incorporated in the differential equations.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A