PyXPlot

Examples - Branch Cut

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A plot of the imaginary part of the mathematical function log(z), showing the branch cut along the negative real axis.

Script

set numerics complex
set xlabel "Re($z$)"
set ylabel "Im($z$)"
set zlabel "$\mathrm{Im}(\mathrm{log}[z])$"
set key below
set size 8 square
set grid
set view -30,30
plot 3d [-10:10][-10:10] Im(log(x+i*y)) \
     with surface col black \
     fillcol hsb(atan2($1,$2)/(2*pi)+0.5):hypot($1,$2)/18+0.2:0.7
      

Notes

A plot of the imaginary part of the mathematical function log(z), showing the branch cut along the negative real axis.