English

On a generalized Sierpinski fractal in RP^n

Classical Analysis and ODEs 2009-08-16 v3 Dynamical Systems

Abstract

We associate a fractal in \RPn\RPn to each vector basis of \bRn+1\bR^{n+1} and we study its measure and asymptotic properties. Then we discuss and study numerically in detail the cases n=1,2,3n=1,2,3, evaluating in particular their Hausdorff dimension.

Keywords

Cite

@article{arxiv.0804.1154,
  title  = {On a generalized Sierpinski fractal in RP^n},
  author = {Roberto De Leo},
  journal= {arXiv preprint arXiv:0804.1154},
  year   = {2009}
}

Comments

26 pages, 9 figures

R2 v1 2026-06-21T10:28:36.380Z