-
physical knot theory, each
realization of a link or knot has an ****ociated
ropelength.
Intuitively this is the
minimal length of an
ideally flexible rope that...
- one that can be
formed from
three convex curves. In knot theory, the
ropelength of a knot or link is the
shortest length of
flexible rope (of
radius one)...
- other. This
model minimizes the
ropelength of the link and
until 2002 the Hopf link was the only link
whose ropelength was known. The
convex hull of these...
- \oint _{K}\kappa \,ds>4\pi .\,} An
example of a "physical"
invariant is
ropelength,
which is the
length of unit-diameter rope
needed to
realize a particular...
-
connection with knot
invariants including the
minimum total curvature and the
ropelength of a knot. The
number of
quadrisecants of a non-singular
algebraic curve...
- us to
introduce a
scale with
respect to
which we can then
define the
ropelength of a link.
There exist several possible definitions of
thickness that...
-
specific embeddings ("conformations") of the circle. Such
properties include ropelength and
various knot
energies (O’Hara 2003). Most of the work
discussed in...
-
invariant Linking number Milnor invariants Racks and
quandles and
Biquandle Ropelength Seifert surface Self-linking
number Signature of a knot
Skein relation...
- Ernst, C.; Por, A. (2012), "Average
crossing number,
total curvature and
ropelength of
thick knots",
Journal of Knot
Theory and Its Ramifications, 21 (3):...
- it off a year or two. The
reason is, of course, that [climbing] a full
ropelength of
horizontal roof on tiny
hooks is
relatively easy".
While the evolution...
