Here's my first submission into Jhonathanacus/Eireball 2.0's Fractal competition!

It's called a space filling curve. Any line that goes over every point on a grid is a space filling curve. As a bonus, this one discovered by David Hilbert in 1891 can repeat itself infinitely, and is therefore a fractal!

The Hilbert Curve starts as a little three-line-segment-box-thingy. In the next iteration, you copy that, and put one facing 90 degrees to the left and one to the right underneath those, and finally connect the lines that face each other. You then do the same with that shape, and then that shape, and so on. For this, I've used different colors to indicate which iteration something is added.

Iteration 1: Red

Iteration 2: Yellow

Iteration 3: Green

Iteration 4: Blue

Iteration 5: Purple

I hope you like it! Happy Pixeling!