# How to get the graph of this function?

Found the animation of this graph (without code) and its function

And I just need a graph, not an animation. How to do it? It's just "Plot" or what? I mean, I'm confused, because I don't know what to do with i

• The community expects the following from you: ✅: A clear description of an on-topic problem or goal. ❌: A minimal working Wolfram Language code example, formatted, easy to copy&paste, in Raw InputForm. ❌. An example of what you expect as output. ❌. Some proof of minimal Mathematica knowledge. ❌. Minimum due diligence: Share how you have searched the site and documentation, your attempts and reasons to believe an answer exists. Aug 8 at 16:55

Under the working assumption that $$\phi$$ is a real variable from 0 to 2 $$\pi$$, one way to go about it is the following:

func[f_] := (Exp[I f] Sqrt[I Cos[2 f] + Sqrt[Sin[2 f]^2]])/(
Exp[I/2] + Sqrt[2] (I Cos[2 f] + Sqrt[Sin[2 f]^2])^(3/2))

ListPlot[Table[ReIm@func@f, {f, 0, 2 Pi, .01}], Joined -> True]


Many thanks to @Bob Hanlon for the following suggestion:

ParametricPlot[ReIm@func@f, {f, 0, 2 Pi}, PlotPoints -> 100]


• +1 Also ParametricPlot[ReIm@func@f, {f, 0, 2 Pi}, PlotPoints -> 100] Aug 8 at 18:12
• @BobHanlon excellent recommendation. Many thanks!
– bmf
Aug 8 at 18:26