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Direct linkHoensch, Ulrich A. – College Mathematics Journal, 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…
Descriptors: Equations (Mathematics), Calculus, Geometric Concepts, Mathematics Instruction
