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ON THE WRITHING NUMBER OF A NON-CLOSED CURVE

    https://doi.org/10.1142/9789812703460_0026Cited by:12 (Source: Crossref)
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    Abstract:

    The paper deals with the definition and computation of the writhing number of an arbitrary fragment of a space curve. The approach is based on closing the tangent indicatrix with a geodesic. A relationship connecting the writhe with the Gauß integral over the open curve is studied. Single and double helical shapes are presented as examples.