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How to draw a geometrical interpretation of Im(z^4)

Posted 10 years ago

Hi!

Excuse If I made something wrong but I wanted to ask you about a possibility to draw a diagram to show Im of z^4.

How to draw something similar on Wolfram Alpha? I mean the attached picture.

Thank you in advance.

Best wishes. enter image description here

POSTED BY: michael terry
4 Replies
Posted 10 years ago

Henrik, I'm grateful to you for your help.

The only difference I made was about swapping {a,b} to {b,a}.

Thank you.

enter image description here

POSTED BY: michael terry

Hi Michael,

perhaps this is what you are looking for:

ContourPlot[Im[(a + I b)^4], {a, b} \[Element] Disk[], PlotTheme -> "Monochrome", PlotPoints -> 100, 
   Contours -> #] & /@ {1, 5, 15}

which gives:

enter image description here

Regards -- Henrik

POSTED BY: Henrik Schachner
Posted 10 years ago

Thank you so much.

Is there any way to draw it using just black & white?

POSTED BY: michael terry
Posted 10 years ago

Perhaps something like

Plot3D[Im[(a + I b)^4], {a, -2, 2}, {b, -2, 2}]

here

POSTED BY: Bill Simpson
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