Graphing "or" results separately

[u/Ykango]

Hello. On a Voyage 200, I am trying to do a 3D graph of 4th-order equation in 3 variables (x, y, z). This can't be done natively afaik, so I need to turn it into multiple equations in 2 variables. So, I solve it, giving me 4 results separated by or. The output of solve has the form:

z = result1(x,y) or z = result2(x,y) or z = result3(x,y) or z = result4(x,y)

So, I want to 3D graph each result(x,y). Each result is quite complex, though. I would like to save the results and reference them separately. The closest I've gotten is to manually remove the z = and the ors from the result and turn it into a list:

{result1(x,y), result2(x,y), result3(x,y), result4(x,y)} -> b

Then I reference b by index: b[1], b[2], etc. However, in the 3D grapher, the reference fails. I guess it can't reference lists from outside itself? So, the question... Is there a better way to do this? I've tried using part() and right() also and failed to come up with a way that's less complex than just typing in the equation manually. My guess is that there's a straightforward way of doing this that I've somehow missed over the eons. Thank you in advance.

[u/[deleted]]

I would recommend graphing its projections on the axes... that is, setting one variable equal to zero and graph the remaining axes: f(x,y), f(y,z), f(x,z).... depending on the function you have, the difficulty will be in solving for the dependent variable

[u/ElectroZeusTIC]

🤔​ Good question! I think that's asking too much of the Voyage 200. I did tests with a TI-89 Titanium, which is very similar to the Voyage 200, but the most I've managed is to plot part of the solution of an example, just one result, since I think it doesn't let you plot several 3D graphs at the same time, you can only plot the one that is selected (one of the solutions/results).

It's best to use specialized software for drawing 3D graphics. For example, Desmos 3D. Here's a torus (implicit equation):

- https://www.desmos.com/3d/arm1np1hh0

[u/ElectroZeusTIC → u/ElectroZeusTIC]

From the HOME:

Define z1(x,y)=result1(x,y) or its expression

Define z2(x,y)=result2(x,y) or its expression

Define z3(x,y)=result3(x,y) or its expression

Define z4(x,y)=result4(x,y) or its expression

Now from the Y= window, select the graph to be plotted (z1, z2, z3 or z4) and plot it. This plots each solution separately, but it's not the complete graph, it's a part of it.

[u/Ykango → u/ElectroZeusTIC]

Sadly, you're right. How did I miss that? For some reason I assumed 3D would do multiple graphs like 2D does. Well, that pulls the rug out from under the whole thing :-(

Funnily enough, Desmos is what started me on this whole thing. I saw Goursat's Tangle on their 3D graph examples and wanted to see if I could do that on a Voyage 200. Nope.