Hey kiddo! Do you like drawing? Because today we are going to talk about something very cool that you can draw called a fractal curve!
A fractal curve is like a special type of shape that is made up of smaller copies of itself. It's like if you drew a spiral, and then made a copy of the spiral inside of the first one, and then made a copy of that inside the second one, and kept going on and on forever.
Now, what's really neat about a fractal curve is that it has a special property called self-similarity. This means that if you zoom in really closely on any part of the curve, you will see that it looks just like the whole curve!
So, let's say you drew a fractal curve that looked like a tree. If you zoomed in on one of the branches, you would see that it looks just like the whole tree! And if you zoomed in even further on a smaller branch, it would still look like the whole tree.
Fractal curves are really fascinating because they can show up in nature in lots of different places, like in the way that lightning bolts or coastlines are shaped. They are also really fun to draw and can help you learn about math and patterns!