Similarity Dimension/Examples/Cantor Set

Example of Similarity Dimension

The similarity dimension $D$ of the Cantor set is given by:

$D = \dfrac {\ln 2} {\ln 3}$

Proof

See Fractal Dimension of Cantor Set.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): fractal
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): fractal