Visualization of graphs in three dimention

[mritunjay]

how to visualize three dimensional figures for example quadratic surfaces in three dimension when graph is plotted on two dimensional sheet which is usually the case.

 

[jimvoit]

Look up isometric drawing.

 

[kenewbie]

or, if you are talking about transforming an x,y,z point into a x,y point (ie a vector into pixels on a screen) look up 3d projection and perspective transformation.

Depending on how fluent you are at reading math, the wikipedia article might be what you need. (Though personally, I rarely find wikipedia good at explaining stuff I don't already know).

http://en.wikipedia.org/wiki/3D_projection

k

 

[HallsofIvy]

What, exactly, do you mean by "visualization"? A good two dimensional rendering of a 3 dimensional graph should include enough visual information (perspective, etc.) to make the 3 dimensional shape clear. At first I thought you were talking about visualizing a graph when you are only given the formula (say, z= x²+ y²) but, since you say "when graph is plotted on two dimensional sheet which is usually the case", apparently that is not what you are asking.