On torus knots and unknots

C Oberti, RL Ricca - Journal of Knot Theory and Its Ramifications, 2016 - World Scientific
A comprehensive study of geometric and topological properties of torus knots and unknots is
presented. Torus knots/unknots are particularly symmetric, closed, space curves, that wrap …

Induction effects of torus knots and unknots

C Oberti, RL Ricca - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
Geometric and topological aspects associated with induction effects of field lines in the
shape of torus knots/unknots are examined and discussed in detail. Knots are assumed to …

New computations of the superbridge index

C Shonkwiler - Journal of Knot Theory and Its Ramifications, 2020 - World Scientific
The knots 8 1, 8 2, 8 3, 8 5, 8 6, 8 7, 8 8, 8 1 0, 8 1 1, 8 1 2, 8 1 3, 8 1 4, 8 1 5, 9 7, 9 1 6, 9 2
0, 9 2 6, 9 2 8, 9 3 2, and 9 3 3 all have superbridge index equal to 4. This follows from new …

Families of curly knots

C Ernst, S Gover - Journal of Knot Theory and Its Ramifications, 2022 - World Scientific
A spiral knot or link diagram (introduced in [C. Adams, R. Hudson, R. Morrison, W. George,
L. Starkston, S. Taylor and O. Turanova, The spiral index of knots, Math. Proc. Cambridge …

Almost all 2-bridge knots are curly

C Ernst, S Gover - Journal of Knot Theory and Its Ramifications, 2022 - World Scientific
A spiral knot or link diagram (introduced in [C. Adams, R. Hudson, Rachel, R. Morrison, W.
George, L. Starkston, S. Taylor and O. Turanova, The spiral index of knots, Math. Proc …

On torus knots and unknots

R Ricca, C Oberti - JOURNAL OF KNOT THEORY AND ITS …, 2016 - boa.unimib.it
A comprehensive study of geometric and topological properties of torus knots and unknots is
presented. Torus knots/unknots are particularly symmetric, closed, space curves, that wrap …

Curves, Knots, and Total Curvature

C Evans - 2010 - wakespace.lib.wfu.edu
We present an exposition of various results dealing with the total curvature of curves in
Euclidean 3-space. There are two primary results: Fenchel's theorem and the theorem of …