Patterns in Nature: self-similarity & scale ￼
- Exact self-similarity: identical at all scales; e.g. Koch snowflake
- Quasi self-similarity: approximates the same pattern at different scales; may contain small copies of the entire fractal in distorted and degenerate forms
- Statistical self-similarity: repeats a pattern stochastically so numerical or statistical measures are preserved across scales
- Qualitative self-similarity: as in a time series
Multifractal scaling: characterized by more than one fractal dimension or scaling rule.