Classic Graphical Representations in Fractal Geometry

The documentation fractal(1) through fractal(5) presents my carefully crafted MATLAB implementations for visualizing classic fractal geometries, including Koch curves, Lévy curves, fractal trees, Sierpinski triangles, and other remarkable patterns. These visually captivating graphics not only demonstrate aesthetic appeal but also serve as effective tools for understanding fundamental concepts in fractal geometry. Each implementation features extensive code annotations that elucidate algorithmic approaches - particularly recursion strategies and coordinate system transformations - enabling readers to comprehend the programming logic and apply these techniques in their own studies. All programs have undergone rigorous debugging to ensure robust performance and computational efficiency. The code examples demonstrate practical applications of iterative refinement methods and self-similarity principles characteristic of fractal generation. I hope this documentation proves valuable for your exploration of mathematical visualization and computational geometry.