Revolving Fractals
arXiv:1905.05924 · doi:10.4171/JFG/107
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.
arXiv comment16 pages, 13 figures