The average shape of the closed trefoil knot fluctuating on a floppy rope Marcin Modlinski, Sylwester Przybyl and Piotr Pieranski Eur. Phys. J. E, 36 5 (2013) 47 Published online: 14 May 2013 DOI: 10.1140/epje/i2013-13047-6