👉 One fascinating aspect of mathematics is the concept of fractals, which exhibit self-similarity at different scales. A classic example is the Mandelbrot set, generated by a simple iterative formula \( z_{n+1} = z_n^2 + c \). The beauty lies in how tiny changes in the initial value \( c \) can lead to dramatically different patterns, revealing infinite complexity from a simple rule. This interplay between simplicity and complexity is a prime illustration of how profound mathematical principles can produce visually stunning and intricate structures, hinting at deeper connections between mathematics and the natural world.
