How do fractals appear in art, science, and nature?

Started May 9, 2023

Abstract or project description

Scientists and mathematicians have long been intrigued by the beauty and significance of fractals. Fractals are infinitely repeating geometric patterns that show up in all aspects of life, whether that is mathematics, art, or science. They stem from the process of reiterating a simple mathematical formula in order to plot complex and self-similar geometric shapes. In particular, the Mandelbrot and Julia sets have been depicted on complex planes to reveal forever repeating shapes that exceed the topological dimension. Fractals are images of dynamic systems, and they have a relationship with chaos theory in that they form a static representation of chaos.