Subject: Is there up and down/vertical direction in space?

By taking note of how far apart our solar system's celestial objects are, it 
seems an accurate 2-dimensional map can be drawn. Space is endless, but do the 
directions up and down exist in space? Is space on a horizontal plane, or does 
it stretch out in all directions? Is it that we occupy only a small dot in 
space and the void between solar systems and even galaxies is so wide that up 
and down doesn't matter? But looking at our galaxy shape, some sense of 
vertical direction must exist. It popped in my head one day, and I've never 
been able to find an answer for this question. Please answer!

Re: Is there up and down/vertical direction in space?