Similarity Dimension/Examples
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Examples of Similarity Dimensions
Cantor Set
The similarity dimension $D$ of the Cantor set is given by:
- $D = \dfrac {\ln 2} {\ln 3}$
Closed Unit Interval
The similarity dimension of the closed unit interval:
- $I = \closedint 0 1$
is $1$.
Koch Snowflake
The similarity dimension $D$ of the Koch snowflake is given by:
- $D = \dfrac {\ln 4} {\ln 3}$
Unit Square
The similarity dimension of the unit square is $2$.