Add to ORKGthis paper we study physical knots; that is, knots tied (as closed loops) in real pieces of rope, which have diameter. Intuitively, for a given diameter, one needs a certain minimum length of rope in order to tie a (non-trivial) knot, and (more vaguely), the more complicated the knot you want to tie, the more rope you need. To be specific, we can ask
Knots are commonly found in molecular chains such as DNA and proteins, and they have been considered...
This paper considers and relates several notions of energy and other measures of geometric complexit...
Knots are a common occurrence in everyday life, so common, in fact, that they are often taken for gr...
Classical knot theory studies one-dimensional filaments; in this paper we model knots as more physic...
What length of rope (of given diameter) is required to tie a particular knot? Or, to turn the proble...
AbstractClassical knot theory studies one-dimensional filaments; in this paper we model knots as mor...
In this paper we define a set of radii called thickness for simple closed curves denoted by K, which...
AbstractGiven a “short” piece of rope, one can tie only “simple” knots. We make this precise by mode...
The thickness of a knot is the radius of the thickest rope with which the knot could be tied. Basic ...
A physical interpretation of the rope simulated by the SONO algorithm is presented. Properties of th...
We present some commonly-used models for polymers in different experimental conditions, including so...
The ropelength problem asks for the minimum-length configuration of a knotted diameter-one tube embe...
Abstract. The ropelength of a knot is the quotient of its length by its thick-ness, the radius of th...
The ropelength of a knot is the quotient of its length by its thickness, the radius of the largest e...
Liu Chun-Lung.Thesis (M.Phil.)--Chinese University of Hong Kong, 2006.Includes bibliographical refer...
Knots are commonly found in molecular chains such as DNA and proteins, and they have been considered...
This paper considers and relates several notions of energy and other measures of geometric complexit...
Knots are a common occurrence in everyday life, so common, in fact, that they are often taken for gr...
Classical knot theory studies one-dimensional filaments; in this paper we model knots as more physic...
What length of rope (of given diameter) is required to tie a particular knot? Or, to turn the proble...
AbstractClassical knot theory studies one-dimensional filaments; in this paper we model knots as mor...
In this paper we define a set of radii called thickness for simple closed curves denoted by K, which...
AbstractGiven a “short” piece of rope, one can tie only “simple” knots. We make this precise by mode...
The thickness of a knot is the radius of the thickest rope with which the knot could be tied. Basic ...
A physical interpretation of the rope simulated by the SONO algorithm is presented. Properties of th...
We present some commonly-used models for polymers in different experimental conditions, including so...
The ropelength problem asks for the minimum-length configuration of a knotted diameter-one tube embe...
Abstract. The ropelength of a knot is the quotient of its length by its thick-ness, the radius of th...
The ropelength of a knot is the quotient of its length by its thickness, the radius of the largest e...
Liu Chun-Lung.Thesis (M.Phil.)--Chinese University of Hong Kong, 2006.Includes bibliographical refer...
Knots are commonly found in molecular chains such as DNA and proteins, and they have been considered...
This paper considers and relates several notions of energy and other measures of geometric complexit...
Knots are a common occurrence in everyday life, so common, in fact, that they are often taken for gr...