Every knot is a billiard knot

P. V. Koseleff; D. Pecker

Banach Center Publications (2014)

  • Volume: 100, Issue: 1, page 173-178
  • ISSN: 0137-6934

Abstract

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We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.

How to cite

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P. V. Koseleff, and D. Pecker. "Every knot is a billiard knot." Banach Center Publications 100.1 (2014): 173-178. <http://eudml.org/doc/282331>.

@article{P2014,
abstract = {We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.},
author = {P. V. Koseleff, D. Pecker},
journal = {Banach Center Publications},
keywords = {billiard knots; Lissajous knots; Chebyshev knots; cylinder knots},
language = {eng},
number = {1},
pages = {173-178},
title = {Every knot is a billiard knot},
url = {http://eudml.org/doc/282331},
volume = {100},
year = {2014},
}

TY - JOUR
AU - P. V. Koseleff
AU - D. Pecker
TI - Every knot is a billiard knot
JO - Banach Center Publications
PY - 2014
VL - 100
IS - 1
SP - 173
EP - 178
AB - We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.
LA - eng
KW - billiard knots; Lissajous knots; Chebyshev knots; cylinder knots
UR - http://eudml.org/doc/282331
ER -

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