Iterative Implementation of Koch Curve and Fractal Generation
1. Generate Koch snowflake fractal by iteratively applying Koch curve transformation to each side of an equilateral triangle. Develop MATLAB programs to visualize the fractal, calculate its area, and compute its fractal dimension through recursive algorithms. 2. Design creative generator rules for novel fractal patterns using iterative graphical transformations. Implement computational methods to render these fractals and determine their dimensional properties, primarily using MATLAB's plotting and mathematical functions.