Thank you for your cooperation.
ParametricPlot[{Re[Exp[I t]], Im[Exp[I t]]}, {t, 0, 2 Pi}]
Try these 3D plots:
Plot3D[Re[E^(x + I y)], {x, 0, 2 Pi}, {y, 0, 2 Pi}, PlotRange -> All] Plot3D[Im[E^(x + I y)], {x, 0, 2 Pi}, {y, 0, 2 Pi}, PlotRange -> All]
How to plot this new curve ?
See attached notebook.
a beautiful presentation ...
The trick to getting the vertical lines is to use Exclusions -> None as a plot option:
zr[t_] := Re[Sqrt[E^(-7 I t)] + E^(I t)] zi[t_] := Im[Sqrt[E^(-7 I t)] + E^(I t)] ParametricPlot[{zr[t], zi[t]}, {t, -2, 5}, MaxRecursion -> 10, Exclusions -> None]
Folks take a note of the new M10.1 function ReIm. With it code becomes simpler:
ParametricPlot[ReIm[Sqrt[E^(-7 I t)] + E^(I t)], {t, -2, 5}, Exclusions -> None]
Simon Cadrin, I suggest reading about proper posting of code on this website. It is easier for those who help you to copy code from your post. Equations in images are strongly discouraged.
