In geometry, a quadrisecant or quadrisecant line of a space curve is a line that passes through four points of the curve. This is the largest possible...

knot. It has been conjectured that every wild knot has infinitely many quadrisecants. As well as their mathematical study, wild knots have also been studied...

secant of the graph of a smooth function has a parallel tangent line Quadrisecant, a line that intersects four points of a curve (usually a space curve)...

Milnor in 1950. It was later shown to follow from the existence of quadrisecants (Denne 2004). If K is any closed curve in Euclidean space that is sufficiently...

fundamental group. Quadrisecants of wild knots: it has been conjectured that wild knots always have infinitely many quadrisecants. Telescope conjecture:...

(1904–1975), German geometric topologist who proved that every knot has a quadrisecant Anna Panorska, Polish-American expert on extreme events in stochastic...

concerning quadrisecants: H. Morton and D. Mond: Closed curves with no quadrisecants. In: Topology. v. 21, 1982, pp. 235–243; Greg Kuperberg: Quadrisecants of...

ropelength 12 {\displaystyle 12} . The answer is no: an argument using quadrisecants shows that the ropelength of any nontrivial knot has to be at least...

lines ai, the complementary set of four out of the five lines has two quadrisecants: b6 and a second line bi. The five lines b1, b2, b3, b4, and b5 formed...

projective variety. Not to be confused with quantic or quartic. quadrisecant A quadrisecant is a line meeting something in four points quadro-cubic, quadro-quartic...