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Inscribing Smooth Knots with Regular Polygons
Author(s) -
Wu YingQing
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609303002662
Subject(s) - mathematics , knot (papermaking) , inscribed figure , mathematics subject classification , combinatorics , geometry , chemical engineering , engineering
A regular n ‐gon inscribing a knot is a sequence of n points on a knot, such that the distances between adjacent points are all the same. It is shown that any smooth knot is inscribed by a regular n ‐gon for any n . 2000 Mathematics Subject Classification 57M25 (primary).