Classic Fractal Geometry Patterns with MATLAB Implementations

I am honored to present detailed MATLAB implementations for several classic fractal geometry patterns, including the Koch curve, Levy curve, fractal tree, and Sierpinski triangle. These implementations are comprehensively documented in files fractal(1) through fractal(5), each containing detailed annotations that explain the underlying algorithms and implementation approaches. The code utilizes recursive algorithms and iterative methods to generate fractal patterns, with key functions handling pattern generation, coordinate transformation, and visualization parameters. All programs have undergone rigorous debugging and testing to ensure successful execution, providing reliable tools for educational and research purposes. For those interested in fractal geometry, these implementations offer excellent learning opportunities to understand fractal concepts and principles through practical coding examples. The commented code explains how each fractal pattern is constructed mathematically and implemented programmatically, making it accessible for both learning and practical application in mathematical visualization.