References and Links

  1. Robert Fathauer, "Fractal Knots Created by Iterative Substitution", in Proceedings of the Bridges 2007 Conference, edited by Reza Sarhangi and Javier Barrallo, pp. 335-342, 2007.
  2. Robert Fathauer, "A New Method for Designing Fractal Knots", in Proceedings of the Bridges 2009 Conference, edited by Craig S. Kaplan and Reza Sarhangi, pp. 251-258, 2009.
  3. Robert Fathauer, "Some Three-dimensional Self-similar Knots", in Proceedings of the Bridges 2010 Conference, edited by Craig S. Kaplan and Reza Sarhangi, 2010.
  4. Carlo Séquin, "Tangled Knots", presented at the Art+Math=X Conference, Boulder, CO, June 3, 2005. This page contains a list of recent talks by Carlo, with a link to the PowerPoint presentation from the conference, which includes an iterated knot.
  5. Paul Gailiunas, "Knot Designs from Snowflake Curves", in Proceedings of the Bridges 2006 Conference, edited by Reza Sarhangi and John Sharp, pp. 581-584, 2006. An iterated knot is described in this paper that is essentially the same as the first fractal trefoil described here.
  6. Colin C. Adams, "The Knot Book", The American Mathematical Society, Providence, RI, 2004. A good general reference on knots.
  7. Knot Atlas. This website contains considerable information on knots.


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