English

Fractals corresponding to the metallic means sequences

Dynamical Systems 2024-06-26 v1

Abstract

In this work, we introduce a class of fractal subsets of [0,1][0,1] corresponding to the aperiodically ordered metallic means sequences. We find simple formulas for the fractal dimension for these fractals.

Keywords

Cite

@article{arxiv.2406.16885,
  title  = {Fractals corresponding to the metallic means sequences},
  author = {Y. S. J. Liang and Darren C. Ong},
  journal= {arXiv preprint arXiv:2406.16885},
  year   = {2024}
}

Comments

16 pages

R2 v1 2026-06-28T17:17:39.429Z