On a generalized Sierpinski fractal in RP^n

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Authors
De Leo, Roberto
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Abstract
Description
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.
Comment: 26 pages, 9 figures
Keywords
Mathematics - Classical Analysis and ODEs, Mathematics - Dynamical Systems, 28A80, 11B39, 05C05
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