Fractals

  1. Fractals in Nature
    1. Biological Systems
      1. Plant Structures
        1. Leaf Venation Patterns
          1. Root System Architecture
            1. Branching Patterns in Trees
              1. Flower Arrangements
                1. Romanesco Broccoli Spirals
                2. Animal Physiology
                  1. Lung Structure and Bronchial Trees
                    1. Circulatory System Networks
                      1. Neural Networks and Dendrites
                        1. Kidney Filtration Systems
                        2. Cellular and Molecular Levels
                          1. Protein Folding Patterns
                            1. DNA Structure
                              1. Cell Membrane Surfaces
                            2. Geological Formations
                              1. Coastline Geometry
                                1. The Coastline Paradox
                                  1. Measurement Scale Dependence
                                  2. Mountain Profiles
                                    1. Fractal Terrain Models
                                      1. Erosion Patterns
                                      2. River Networks
                                        1. Drainage Basin Patterns
                                          1. Delta Formation
                                            1. Meandering Structures
                                            2. Rock and Mineral Structures
                                              1. Fault Line Distributions
                                                1. Crystal Growth Patterns
                                                  1. Porous Rock Structures
                                                2. Atmospheric and Weather Phenomena
                                                  1. Cloud Formation Patterns
                                                    1. Lightning Discharge Paths
                                                      1. Snowflake Crystal Structures
                                                        1. Turbulence in Fluid Flow
                                                          1. Weather Pattern Scaling
                                                          2. Astronomical Structures
                                                            1. Galaxy Distribution
                                                              1. Crater Patterns
                                                                1. Solar System Dynamics
                                                                  1. Cosmic Web Structure

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                                                                7. Random and Stochastic Fractals

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                                                                9. Applications of Fractal Geometry