Let's think about Football.
Position 1: I am at home. Watching the football game on the giant screen. Thanks for the channel guys, they are using lots of cameras, so I can see everything from different angles, in slow motion etc.
Position 2: I am in the stadium. I have just 1 point of view, and no slow motion.
Position 3: I am the referee. Comparing to position 1 and position 2 you can not even talk about the "point of view". I see lots of spheres. One of them is the ball and the others are the heads of the players.
Position 4: I am sitting on a chair at point Zenith! What I see is a rectangle, some drawings, and 25 PacMans (22 players + 3 referees) are moving from somewhere to somewhere, especially running after a circle called ball. (In this example, the heigth is negligible, because I am at the point very far away the stadium.)
If the name of the referee is Fred, now we can understand how Fred goes to left, right, up, down, briefly 360 degrees. Now he can move any direction! He doesn't need to fly to go other directions.
In brief, instead of looking from leftside of Fred, looking from over his head is sensible. (Hey I am sorry again about my English, hope you understand what I wanted to express. Actually, if it is possible, someone can edit this topic and make some corrections.)
I know in this situation, the rules of Flatland changes. So let's leave Flatland at the same place, and give another name to this new 2d world. (Instead of me, please may one of you name it?)
For example, can we call microorganisms' world as 2d world?. Because their heigth is negligible.