Results 21 to 30 of about 28,588 (91)

On Fibonacci Knots [PDF]

open access: yes, 2009
We show that the Conway polynomials of Fibonacci links are Fibonacci polynomials modulo 2. We deduce that, when $ n \not\equiv 0 \Mod 4$ and $(n,j) \neq (3,3),$ the Fibonacci knot $ \cF_j^{(n)} $ is not a Lissajous knot.Comment: 7p ...
Koseleff, Pierre-Vincent, Pecker, Daniel
core   +2 more sources

Symmetric Criticality for Tight Knots [PDF]

open access: yes, 2012
We prove a version of symmetric criticality for ropelength-critical knots. Our theorem implies that a knot or link with a symmetric representative has a ropelength-critical configuration with the same symmetry.
Cantarella, Jason   +3 more
core  

Symmetric tangled Platonic polyhedra. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Hyde ST, Evans ME.
europepmc   +1 more source

Topological gelation of reconnecting polymers. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Bonato A   +3 more
europepmc   +1 more source

Knotting matters: orderly molecular entanglements. [PDF]

open access: yesChem Soc Rev, 2022
Ashbridge Z   +5 more
europepmc   +1 more source

Four-dimensional aspects of tight contact 3-manifolds. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Hedden M, Raoux K.
europepmc   +1 more source

Geometric Predictors of Knotted and Linked Arcs. [PDF]

open access: yesACS Polym Au, 2022
Sleiman JL   +4 more
europepmc   +1 more source

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