JournalsjfgVol. 8, No. 3pp. 289–304

Revolving fractals

  • Kiko Kawamura

    Univeristy of North Texas, Denton, USA

  • Andrew Allen

    Univeristy of North Texas, Denton, USA
Revolving fractals cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

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