Revolving Fractals
Dynamical Systems
2021-06-22 v3
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 a new parametrized expression for certain self-similar sets.
Cite
@article{arxiv.1905.05924,
title = {Revolving Fractals},
author = {Kiko Kawamura and Andrew Allen},
journal= {arXiv preprint arXiv:1905.05924},
year = {2021}
}
Comments
16 pages, 13 figures