A Characterization of Quintic Helices
classification
🧮 math.GT
keywords
alphapolynomialcharacterizationcurvedegreefunctionsheliceshelix
read the original abstract
A polynomial curve of degree 5, $\alpha$, is a helix, if and only if both $||\alpha^'||$ and $||\alpha^'\wedge \alpha^{''}||$ are polynomial functions.
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