Publications related to Chiral knot

The strength of surgical knots involves a critical interplay between friction and elastoplasticity

Pedro Miguel Nunes Pereira de Almeida Reis, Paul Johanns, Changyeob Baek, Paul Grandgeorge

Knots are the weakest link in surgical sutures, serving as mechanical ligatures between filaments. Exceeding their safe operational limits can cause fatal complications. The empirical nature of present guidelines calls for a predictive understanding of the ...

AMER ASSOC ADVANCEMENT SCIENCE2023

Computational Exploration of Multistable Elastic Knots

Mark Pauly, Michele Vidulis, Yingying Ren

We present an algorithmic approach to discover, study, and design multistable elastic knots. Elastic knots are physical realizations of closed curves embedded in 3-space. When endowed with the material thickness and bending resistance of a physical wire, t ...

2023

Exploring the inner workings of the clove hitch knot

Pedro Miguel Nunes Pereira de Almeida Reis, Tomohiko Sano, Paul Johanns, Changyeob Baek, Paul Grandgeorge

We perform a combined experimental and computational investigation of the clove hitch knot. We develop a physical model for the clove hitch by tying an elastic rod onto a rigid cylinder. In the experiments, we characterize the mechanical performance, geome ...

ELSEVIER2022

Periodic Motion of Sedimenting Flexible Knots

Giovanni Dietler, Krishnan Thyagarajan, Andrzej Stasiak

We study the dynamics of knotted deformable closed chains sedimenting in a viscous fluid. We show experimentally that trefoil and other torus knots often attain a remarkably regular horizontal toroidal structure while sedimenting, with a number of intertwi ...

APS2018

On chirality of toroidal embeddings of polyhedral graphs

Senja Dominique Barthel

We investigate properties of spatial graphs on the standard torus. It is known that nontrivial embeddings of planar graphs in the torus contain a nontrivial knot or a non-split link due to [2, 3]. Building on this and using the chirality of torus knots and ...

World Scientific Publishing2017

Tuning knot abundance in semiflexible chains with crowders of different sizes: a Monte Carlo study of DNA chains

Giovanni Dietler

We use stochastic simulation techniques to sample the conformational space of linear semiflexible polymers in a crowded medium and study how the knotting properties depend on the crowder size and concentration. The abundance of physical knots in the chains ...

Royal Society of Chemistry2016

Untangling the Mechanics and Topology in the Frictional Response of Long Overhand Elastic Knots

Pedro Miguel Nunes Pereira de Almeida Reis

We combine experiments and theory to study the mechanics of overhand knots in slender elastic rods under tension. The equilibrium shape of the knot is governed by an interplay between topology, friction, and bending. We use precision model experiments to q ...

American Physical Society2015

Chirality of structure and magnetism in the magnetoelectric compound Cu2OSeO3

Henrik Moodysson Rønnow, Arnaud Magrez, Jonathan White, Krunoslav Prsa, Ping Huang

Small-angle diffraction of polarized neutrons and resonant contribution to diffraction of synchrotron radiation have been applied to prove chirality of the crystal and magnetic structures of the magnetoelectric insulator Cu2OSeO3. Similarly to other chiral ...

Amer Physical Soc2014

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Chiral knot

The strength of surgical knots involves a critical interplay between friction and elastoplasticity

Computational Exploration of Multistable Elastic Knots

Mechanics of Physical Knots: From Filaments in Contact to Surgical Suturing

Exploring the inner workings of the clove hitch knot

Periodic Motion of Sedimenting Flexible Knots

On chirality of toroidal embeddings of polyhedral graphs

Tuning knot abundance in semiflexible chains with crowders of different sizes: a Monte Carlo study of DNA chains

Untangling the Mechanics and Topology in the Frictional Response of Long Overhand Elastic Knots

Mechanical form-finding of timber fabric structures

Chirality of structure and magnetism in the magnetoelectric compound Cu2OSeO3

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Chat with Graph Search

Computational Exploration of Multistable Elastic Knots

Mechanics of Physical Knots: From Filaments in Contact to Surgical Suturing

Exploring the inner workings of the clove hitch knot

Periodic Motion of Sedimenting Flexible Knots

Untangling the Mechanics and Topology in the Frictional Response of Long Overhand Elastic Knots

Tuning knot abundance in semiflexible chains with crowders of different sizes: a Monte Carlo study of DNA chains

On chirality of toroidal embeddings of polyhedral graphs

The strength of surgical knots involves a critical interplay between friction and elastoplasticity

Mechanical form-finding of timber fabric structures

Chirality of structure and magnetism in the magnetoelectric compound Cu2OSeO3