Trying to picture something** infinite** (that means something that has no end and goes on forever and ever) is amazingly difficult – it can make your brain hurt just thinking about it! A great way to help contemplate the size of infinity is through **fractals**. A fractal is a never-ending pattern that repeats itself at different scales, which is known as** self-similarity**. Even though fractals can look fantastically complicated, they’re really just made by repeating a simple process.

# Zoom, zoom, zoom

Mathematical fractals are created by calculating a simple equation thousands of times, and then feeding those answers in a loop back to the beginning. These fractals are infinitely complicated and allow us to zoom into the fractal forever.

# Eternal triangle

Another mathematical fractal is the **Sierpiński** triangle, named after the mathematician Wacław Sierpiński. This is a **self-similar fractal** and is made from a triangle with equal sides, inside of which smaller equal-sided triangles are repeatedly removed in a repeating pattern.

# Forever and ever

Infinity isn’t really a number, it’s an idea. Infinity is something that is endless and cannot be measured. What’s amazing is that in maths there are different sizes of infinity as well as different kinds of infinity. Amazing.