This is a topic I have struggled with for many years and can't find any interesting discussion on it.
Zero D = finite point of focus
1D = a line representing 1 axis
2D = the form of a shape along 2 axis x and y principle
3D = a depth or plane added (ie. the depth and field percieved in a photograph)
4D = depth and perspective when movement is added (ie. when the head is moved side-to-side the images react with one another with the closest objects moving against a more stationary background)
* () brackets are my own interpretation of each.
The problem for me is I have been under the impression that 2D would include a visual like an old atari game with no depth of field and adding that depth like the newer consoles added a 3rd dimension. However if one tries to move or swerve their head it makes no difference in the field of vision. So, if you add that extra dimension aren't you really adding a fourth dimension?
While my curiosity doesn't come from gaming (not into video games), it comes from being an artist who is interested in perspective.
Any and all input would be greatly appreciated even if it goes beyond 4D.