The discussion revolves around graphing the equation 4x² - 9y² = z in three-dimensional space, specifically focusing on how to sketch the corresponding hyperbolic paraboloid.
Some participants have offered insights into the challenges of sketching the hyperbolic paraboloid and suggested starting with different values of z. There are mentions of software tools like gnuplot and Maple for graphing, indicating a variety of approaches being explored.
Participants are navigating the complexities of visualizing a hyperbolic paraboloid and discussing the potential need for graphic programs, with some constraints noted regarding the availability of free software options.
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:
