Hi,
I saw this animation and thought it was interesting/awesome since i didn't know much about the other dimensions.
Check it out http://gajitz.com/mind-bending-science-visualizing-ten-dimensions/

This is very interesting.
Dimensions in physics is different to dimensions in maths. In physics the 4th dimension is time, whereas in maths it really isn't.
so in maths the 2nd dimension can be written as {(1,0),(0,1)}, i.e. I can use these points to represent any point in the 2nd dimension. You can also write it as {(1,1),(1,-1)} so you can look at the second dimension from different view points.
Anyway I hope to understand this much better by the time I finish my major.
Something like that. One model of 3D space with time is
Minkowski space, which is just

with a very strange pseudo inner product.
In maths, it's pretty normal to work in

dimensions, where

is an arbitrary positive integer. The difference between mathematicians and physicists then is that physicists work in a fixed dimensional space (in this case,

), and that they put further structure on this space (such as pseudo inner products, norms, metrics, etc).