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\documentclass{article}
\usepackage[pdftex,a3paper,margin=1pt,landscape]{geometry}
%% draw macros
\newcount\mlength
\mlength0
\newcount\cstate
\newdimen\mandelunit
\mandelunit=0.5pt
\def\wp{%
\ifnum\cstate=1 \global\advance\mlength1
\else\ifnum\cstate=-1 \vrule width \mlength\mandelunit height \mandelunit depth 0pt \global\mlength1 \fi\fi
\global\cstate1}
\def\bp{%
\ifnum\cstate=-1 \global\advance\mlength1
\else\ifnum\cstate=1 \hspace*{\mlength\mandelunit}\global\mlength1 \fi\fi
\global\cstate-1}
\def\r{%
\ifnum\cstate=1\hspace*{\mlength\mandelunit}\else\vrule width \mlength\mandelunit height \mandelunit depth 0pt \fi
\global\cstate0 \global\mlength0}
\begin{document}
\thispagestyle{empty}\noindent
\leavevmode\baselineskip=\mandelunit
\directlua{
maxloop=20
scale=0.002
function isMandel(a,b)
x=0
y=0
xx=0
yy=0
for k=0,maxloop do
xx=x*x
yy=y*y
if (xx + yy) > 4.0 then
return false
else
y=2*x*y+b
x=xx-yy+a
end
end
return true
end
for b=1.0,-1.0,-scale do
for a=-1.5,0.5,scale do
if isMandel(a,b) then
tex.print("\noexpand\\bp")
else
tex.print("\noexpand\\wp")
end
end
tex.print("\noexpand\\r\noexpand\\\noexpand\\")
end
}
\end{document}
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