51 citations · 146 across the 6 of their papers we have counts for
5 papers · 1 filter
High resolution portrait of the ideal trefoil knot
Sylwester Przybyl, Piotr Pieranski
The shape of the most tight trefoil knot with N=200640 vertices found with an appropriately modified finite element method is analyzed. The high number of vertices makes plots of i…
Gordian Unknots
P. Pieranski, S. Przybyl, A. Stasiak
Numerical simulations indicate that there exist conformations of the unknot, tied on a finite piece of rope, entangled in such a manner, that they cannot be disentangled to the tor…
The ideal trefoil knot
P. Pieranski, S. Przybyl
The most tight conformation of the trefoil knot found by the SONO algorithm is presented. Structure of the set of its self-contact points is analyzed.
Tight open knots
P. Pieranski, S. Przybyl, A. Stasiak
The most tight conformations of prime knots are found with the use of the SONO algorithm. Their curvature and torsion profiles are calculated. Symmetry of the knots is analysed. Co…
Helical close packings of ideal ropes
S. Przybyl, P. Pieranski
Closely packed conformations of helices formed on the ideal rope are considered. The pitch versus radius relations which define a closely packed helix are determined. The relations…