On a generalized Sierpinski fractal in RP^n

Details On a generalized Sierpinski fractal in RP^n On a generalized Sierpinski fractal in RP^n

2008-04-07

arxiv.org/abs/0804.1154v3

Mathematics

Classical Analysis and ODEs

26 pages, 9 figures

Scientific paper

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

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