In this lesson on Complex Numbers Continued, the instructor discusses complex transformations and fractal geometry. The video demonstrates various transformations such as homo-thetti, multiplication by i, and multiplication by 1+i. The instructor also explains the concept of Julia sets and Mandelbrot sets, which are the filled-in sets of certain transformations. The lesson concludes with a zoomed-in view of the beautiful Mandelbrot set and how it represents the essence of chaos in modern science.
More discussion about complex numbers and the complex plane, including complex transformations and fractal geometry.