http://calc3.askbot.com/questions/Open source question and answer forum written in Python and DjangoenCopyright Askbot, 2010-2011.Sun, 22 Jun 2014 18:33:47 -0500http://calc3.askbot.com/question/5/how-do-i-make-a-parametric-plot/How can I generate a parametric plot with Mathematica? For example, the following function should supposedly generate a spiral: $$\vec{p}(t) = \langle t\cos(t), t\sin(t) \rangle.$$ How can I generate this spiral and show it on AskBot? Also, what about parametric plots in 3D? For example, the following function supposedly generates a helix: $$\vec{p}(t) = \langle t, \cos(t), \sin(t) \rangle.$$ What about other tools like [Desmos](https://www.desmos.com/) or [WolframAlpha](http://www.wolframalpha.com/)?Sun, 22 Jun 2014 18:19:49 -0500http://calc3.askbot.com/question/5/how-do-i-make-a-parametric-plot/http://calc3.askbot.com/question/5/how-do-i-make-a-parametric-plot/?answer=6#post-id-6Mathematica has a groovy command called `ParametricPlot` that allows you to generate parametric plots. Here's how to generate the spiral: ParametricPlot[{t*Cos[t], t*Sin[t]}, {t, 0, 6 Pi}, PlotStyle -> Thick]  There's a 3D version called `ParametricPlot3D`. Here's how to generate the helix: ParametricPlot3D[{t, Cos[t], Sin[t]}, {t, 0, 6 Pi}] Sun, 22 Jun 2014 18:33:47 -0500http://calc3.askbot.com/question/5/how-do-i-make-a-parametric-plot/?answer=6#post-id-6