51 citations · 137 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
On non-measurable sets and invariant tori
Piotr Pieranski, Krzysztof W. Wojciechowski
The question: "How many different trajectories are there on a single invariant torus within the phase space of an integrable Hamiltonian system?" is posed. A rigorous answer to the…
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.
Quasi-quantization of writhe in ideal knots
P. Pieranski, S. Przybyl
The values of writhe of the most tight conformations, found by the SONO algorithm, of all alternating prime knots with up to 10 crossings are analysed. The distribution of the writ…
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…