# Hausdorff dimension of the Cantor Set

by alpar_r
Tags: cantor, dimension, hausdorff
 P: 1 Hi everyone! I am thinking about, how can calculate the Hausdorff dimension of the Cantor set? I know, that this dimension is $$\frac{\log 2}{\log 3}$$ but I cannot prove it. Any ideas?
 P: 607 Of course you will need to use the definition of Hausdorff dimension. In one popular proof, you do it in two parts: One shows the dimension is <= log 2/log 3 and the other shows the dimension is >= log 2/log 3 . But of course both of them need the definition!

 Related Discussions Quantum Physics 5 Calculus & Beyond Homework 1 Calculus 2 Calculus 2