Fractal Tree Visualizer
Understanding Fractal Trees
What are Fractal Trees?
Fractal trees are self-similar patterns that exhibit recursive branching structures found in nature.
Key Concepts:
- Self-Similarity
- Recursive Generation
- Branching Patterns
- Fractal Dimension
- L-Systems
- Natural Patterns
Mathematical Properties
- Geometric Properties
- Hausdorff Dimension
- Space-Filling Properties
- Symmetry Groups
- Scaling Ratios
- Growth Patterns
- Exponential Branching
- Golden Ratio Relations
- Fibonacci Sequences
Applications
Biology
Plant Growth Models
Computer Graphics
Procedural Generation
Art & Design
Generative Art
Architecture
Organic Structures
Advanced Topics
- Complex Analysis
- Julia Sets
- Mandelbrot Relations
- Complex Dynamics
- Chaos Theory
- Sensitivity to Conditions
- Strange Attractors
- Period Doubling