The discussion focuses on sketching the hyperbolic paraboloid represented by the equation 4x² - 9y² = z in a 3D coordinate system. Participants emphasize the importance of understanding the intersections with the coordinate planes (x=0, y=0, z=0) to visualize the shape. Tools such as Gnuplot and Maple are mentioned for graphing, with Gnuplot being a free option that requires some familiarity. The conversation highlights the complexity of accurately depicting the hyperbolic paraboloid and suggests starting with various z-values for better representation.
PREREQUISITESStudents of multivariable calculus, mathematicians, educators, and anyone interested in visualizing complex surfaces in 3D space.
Which plane? You have a hyperbolic paraboloid there.Twice said:
Right, thanks, I meant how do I draw the hyperbolic paraboloid on the axes?fresh_42 said:
That's indeed not an easy task. I would start step by step along different values of ##z##. Maybe you will need to change the order of the coordinates to improve the picture, but that can only be said after you saw what it looks like. The link above got you how it would look like and it's very curved. Maybe there are better graphic programs out there, but I don't know them. (Of course there are, but I meant the freely available ones.)Twice said:
Twice said:
