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A user has this nice graph of f(x) on his profile and I want to learn how to do it in matlab or Gnu octave.

enter image description here

f(x) = -(x*x*x +x + 1)
(0,0) = center
color(x,y) = arctan2(x, f(x))
lum(x,y) = sin(hypot(x, f(x))/alpha)

But when I try in matlab I fail:

>> y= -(x.*x.*x+x+1)

>> x = linspace(0,2*pi,100);

>> plot(x,y)

The matlab code does not make a plot that resembles the nice visual graph. I understand that I must also accomplish the effects, but can you help me on the way? Is there a program that is more or less suitable to make a plot like the above?

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    $\begingroup$ Why don't you ask the user from whose site you copied the picture? $\endgroup$ – Wolfgang Bangerth Jun 3 '16 at 4:01
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    $\begingroup$ I may misunderstood but your three MATLAB code lines are completely off topic. You need at least a contour command to reproduce the isocontour lines you have displayed, not a plot command. Only then you can focus on the colormap used for obtaining such a graph but it seems to have been postprocessed with another software. $\endgroup$ – Coriolis Jun 3 '16 at 7:43
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Using Python and mpmath:

import matplotlib
import mpmath
f = lambda z: z**3-z+1
mpmath.cplot(f, points=100000)

Easy peasy.... See here for the documentation on mpmath.cplot

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