Hello. I have a question about higher dimensions. I don't really know the best way to phrase this so please bear with me.

So, dimension x y is 2 d and xyz is 3 d. If the graph got rid of the x coordinates and had just the y and zed values, then it would look like the xy graph. If we had a xyzr (where r is the 4 dimension), and we got rid of zed, then would the xyr graph look like the xyz graph? only turned in towards the 4th dimension such as the zy graph is turned towards to zed dimension?

I hope I am making sense, though I lack the proper vocabulary.

So, dimension x y is 2 d and xyz is 3 d. If the graph got rid of the x coordinates and had just the y and zed values, then it would look like the xy graph. If we had a xyzr (where r is the 4 dimension), and we got rid of zed, then would the xyr graph look like the xyz graph? only turned in towards the 4th dimension such as the zy graph is turned towards to zed dimension?

I hope I am making sense, though I lack the proper vocabulary.