- can have with a line, and for such
curves the
quadrisecants form a
discrete set of lines.
Quadrisecants have been
studied for
curves of
several types:...
- 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...
-
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...
-
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)...
-
fundamental group.
Quadrisecants of wild knots: it has been
conjectured that wild
knots always have
infinitely many
quadrisecants.
Telescope conjecture:...
-
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...
- (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...
-
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...
-
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...
