Similarity Dimension/Examples/Koch Snowflake

Example of Similarity Dimension

The similarity dimension $D$ of the Koch snowflake is given by:

$D = \dfrac {\ln 4} {\ln 3}$


Proof

See Fractal Dimension of Koch Snowflake.


Sources

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