A while back there was a post that mentioned one way to draw labyrinths (via the method pictured above).
Here's another way. For this second method, you can use some square graph paper, and start with drawing an axis that has two units in each direction (you might call these 4 radial spokes).
From the end of each axis you draw a path as pictured below, extending the end of each axis in an alternating fashion.
If you want, you can finish off the labyrinth by extending the path you drew in step 4 down to the bottom of the grid (step 5).
Once you see the alternating pattern for extending the end of each axis, you can try without the grid, and might find that the free-hand version looks nicer.
If you wanted to extend this process to make larger labyrinths, you would need to start with more radial spokes (this example used four radial spokes - can you do it with three, or with five?).
If you'd like to have a labyrinth that brings you back to the beginning, instead of leaving you stranded in the middle, you can draw a curve through center of the labyrinth's path - you go in on one side of this new curve, and out on the other.