QUADRISECANT APPROXIMATION OF HEXAGONAL TREFOIL KNOT
2011 ◽
Vol 20
(12)
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pp. 1685-1693
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It is known that every nontrivial knot has at least two quadrisecants. Given a knot, we mark each intersection point of each of its quadrisecants. Replacing each subarc between two nearby marked points with a straight line segment joining them, we obtain a polygonal closed curve which we will call the quadrisecant approximation of the given knot. We show that for any hexagonal trefoil knot, there are only three quadrisecants, and the resulting quadrisecant approximation has the same knot type.
2021 ◽
pp. 22-31
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1975 ◽
Vol 27
(3)
◽
pp. 636-665
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2002 ◽
Vol 216
(3)
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pp. 459-463
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Keyword(s):
2021 ◽
Vol 26
(5)
◽
pp. 5-16
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