[2026] PTE Academic Listening - Fill in the Blanks (Type In)

Fractal geometry is a branch of mathematics that focuses on the study of and irregular shapes found in nature. Before the work of Benoit Mandelbrot, traditional geometry was unable to accurately describe the rough surfaces of mountains or clouds. A defining characteristic of fractals is self-similarity, where a pattern repeats itself at every scale. This means that a small of the object resembles the structure of the entire thing. These mathematical have significant applications in fields such as computer graphics, fluid dynamics, and even economics. By understanding these patterns, scientists can better simulate the unpredictable systems of the natural world.