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KNOTTING OF REGULAR POLYGONS IN 3-SPACE

    https://doi.org/10.1142/S0218216594000204Cited by:28 (Source: Crossref)
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    Abstract

    The probability that a linear embedding of a regular polygon in R3 is knotted should increase as a function of the number of sides. This assertion is investigated by means of an exploration of the compact variety of based oriented linear maps of regular polygons into R3. Asymptotically, an estimation of the probability of knotting is made by means of the HOMFLY polynomial.