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\documentclass{minimal}
\usepackage{pstricks}
\usepackage{pst-plot}
\usepackage{multido}
\usepackage{pst-xkey}
\makeatletter
\pst@addfams{user}
\define@key[psset]{user}{nLoop}{\def\psnLoop{#1}}
\psset[user]{nLoop=1}
\makeatother
\def\chooseColor#1{%
\ifcase#1\or red\or green\or blue\or cyan\or magenta\or gray\fi}
\parindent=0pt
\pagestyle{empty}
\begin{document}
\psset{xunit=1.5mm,yunit=3mm}
\begin{pspicture}(-45,0)(45,20)
\psaxes[Dy=10,Dx=15]{->}(0,0)(-45,0)(45,20)%
\psset{linewidth=1pt}%
\pstVerb{%
/dc 0.2 def
/kx 12 def
/ky 12 def
/pi 3.141529 def
/rad2deg { 57.296 mul } def
/si { pi mul dup rad2deg sin exch div } def
/Func {
/nLoop exch def
x kx mul nLoop mul cos
nLoop dc mul si mul
} def
}%
\psset{plotpoints=400,linecolor=red,plotstyle=curve}%
\multido{\iA=1+1}{6}{%
\psplot[linecolor=\chooseColor\iA,nLoop=\iA]{-45}{45}{%
/y0 x kx mul cos dc si mul def
/y1 0 def
1 1 \psnLoop {
Func y1 add /y1 exch def
} for
y1 y0 add
dc mul 2 mul
dc add
ky mul
}%
}%
\end{pspicture}
\end{document}
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