Fractal Dimension: Understanding Complex Geometric Structures

This lecture delves into the concept of fractal dimension, exploring the Hausdorff dimension of various fractals such as the 3D quadratic Koch surface and the Hilbert curve. It covers calculating fractal dimensions analytically, providing formulas for volume and surface area as a function of recursion level, and understanding the convergence of these values. The lecture also includes practical examples like the Cantor Dust and discusses applications in computer graphics.