# ParametricPlot with more than two parameters [closed]

This is a general question, and it actually was already asked before but for a case that was wisely solved (see here). I'm going to give a naive example to be clear:

Let us suppose you have three different parametric functions (pairs): {fx[a],fy[a]},{gx[b],gy[b]} and {hx[c],hy[c]} , with no common factor between them, etc. In particular, they come from NDSolve so they are actually InterpolatingFunctions with specific ranges, so we cannot handle the parameter regions of a,b,c.

For example:

ParametricPlot[{{x^2, 2 x}, {y^3, 3 y}}, {x, 0, 2}, {y, 0, 3}]

gives no problem. But,

ParametricPlot[{{x^2, 2 x}, {y^3, 3 y}, {z^4, 4 z}}, {x, 0, 2}, {y, 0, 3}, {z, 0, 4}]

does give the following message:

ParametricPlot::nonopt: "Options expected (instead of {z,0,4}) beyond position 3 in ParametricPlot[{{x^2,2\ x},{y^3,3\ y},{z^4,4\ z}},{x,0,2},{y,0,3},{z,0,4}]. An option must be a rule or a list of rules.

Is there a possibility to plot this case? Wolfram says in this site:

"The Wolfram Language can plot parametric functions in both two and three dimensions. Use a parametric plot when you can express the x and y or x,y, and z coordinates at each point on your curve as a function of one or more parameters."

Here "more parameters" means two?

## closed as off-topic by mikado, m_goldberg, José Antonio Díaz Navas, Thies Heidecke, Kuba♦Jan 11 at 23:19

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question arises due to a simple mistake such as a trivial syntax error, incorrect capitalization, spelling mistake, or other typographical error and is unlikely to help any future visitors, or else it is easily found in the documentation." – mikado, m_goldberg, José Antonio Díaz Navas, Thies Heidecke, Kuba
If this question can be reworded to fit the rules in the help center, please edit the question.

• Is that ok: MapThread[ ParametricPlot, {{{x^2, 2 x}, {y^3, 3 y}, {z^4, 4 z}}, {{x, 0, 2}, {y, 0, 3}, {z, 0, 4}}} ] // Show[#, PlotRange -> All, AspectRatio -> 1/GoldenRatio] &? – Kuba Jan 7 at 21:06
• @Kuba Thanks, it worked! I didnt know MapThread. Now I will try to use it in my case. – Patrick El Pollo Jan 7 at 21:11
• MapThread is not necessary, it just makes it shorter than writing Show[3 x ParametricPlot]. – Kuba Jan 7 at 21:16
• @Kuba Oh, yes. Thanks again. – Patrick El Pollo Jan 7 at 21:19