I didn’t know what to write about for this topic, so I did a quick google search of “chaos theory” and ended up on the wiki page for it. I didn’t have to scroll down very far to see a few images of interest. The first was of something called the “lorenz attractor” and the second was a gif of a “double rod pendulum” animation.
According to wikipedia: “Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions.”
The first thing that came to mind when I saw these was of something I had as a child. A toy called a Spirograph. It was a little piece of plastic you would insert your pencil into, and then move it around on a piece of paper to create really beautiful designs. It’s similar to the double rod pendulum in the sense that if you move your pencil a certain way it could completely change the outcome of your design. Also because you move your pencil around so many times and it would seem like you were just creating a big scribble on paper but it ends up being a very intricate image produced.