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I wanted to know if anyone had any advise on how to transform a 2D geometric shape into a 3D one.

I have some 2D shape which is given by the equation f(x,y) = const. = k.

I wish to rotate this 2D shape into the 3rd dimension by an angle theta and then write down what the 3D function is g(x,y,z) in terms of f(x,y) and the angle theta.

Any advise would be appreciated!

Natski