English

Von Koch and Thue-Morse revisited

Number Theory 2008-12-02 v2

Abstract

We revisit the relation between the von Koch curve and the Thue-Morse sequence given in a recent paper of Ma and Goldener by relating their study to papers written by Coquet and Dekking at the beginning of the 80s. We also emphasize that more general links between fractal objects and automatic sequences can be found in the literature.

Cite

@article{arxiv.math/0610791,
  title  = {Von Koch and Thue-Morse revisited},
  author = {J. -P. Allouche and G. Skordev},
  journal= {arXiv preprint arXiv:math/0610791},
  year   = {2008}
}

Comments

Slight changes on the first version. Accepted by "Fractals"

R2 v1 2026-07-22T17:45:00.724Z