This can be used for Anime/Manga Death Battles so I'll post this here if anyone is not sure about Dimensional Battles.

1st Dimension: The x-axis, also known as length. No other trait.

2nd Dimension: The y-axis added to the x-axis, creating height and thus, a second dimensional object like a square or triangle.

3rd Dimension: The z-axis added to both the y and x axes, creating depth and thus, a third dimensional object like a cube, prism or pyramid.

4th Dimension: The position in time occupied by the third dimensional being/object.

5th Dimension: A world slightly different than ours in which we could measure the similarities and differences.

6th Dimension: A plane containing all the possible universes with the same starting conditions as our own universe.

7th Dimension: A plane containing all the possible universes with different as well as the same starting conditions as our own universe.

8th Dimension: A plane containing all the possible universes with different as well as the same starting conditions as our own universe with each branching out infinitely.

9th Dimension: A plane containing universes with all the possible starting conditions and the laws of physics are completely different to our own.

10th Dimension: A plane where everything, whether it be possible or impossible, exists.