Neither, I see the knight's move possibilities as a circle or starburst.
How do you visualise Knight movements?


Check out the famous Knight Tour Problem (with animation) http://thechessworld.com/knightour.html
I think it will help you to visualise the knigt's moves.

1. Do you imagine it as an 'L' shape like the following:
X
X
X X
2. Or do you think of it in a diagonal form like this:
X
X
X
Just curious. When looking at the board I always visualise the Knights movements like in the second case.