Revolving fractals

  • Kiko Kawamura

    Univeristy of North Texas, Denton, USA
  • Andrew Allen

    Univeristy of North Texas, Denton, USA
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Davis and Knuth in 1970 introduced the notion of revolving sequences, as representations of a Gaussian integer. Later, Mizutani and Ito pointed out a close relationship between a set of points determined by all revolving sequences and a self-similar set, which is called the Dragon. We will show how their result can be generalized, giving new parametrized expressions for certain self-similar sets.

Cite this article

Kiko Kawamura, Andrew Allen, Revolving fractals. J. Fractal Geom. 8 (2021), no. 3, pp. 289–304

DOI 10.4171/JFG/107