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(*Modified original from Wikipedia User Stpasha*)
clr@i_:={Red,Orange,Yellow,Green,Cyan,Blue,Purple,Magenta,Pink,Gray,Black}[[i]];
style@n_:={PointSize@((1+n-#)/(4n^2)),clr@#}&/@Range[1+n];
f@x_:={{2#[[1]]-#[[2]],#[[1]]},{2#[[1]]+#[[2]],#[[1]]},{#[[1]]+2#[[2]],#[[2]]}}&/@x;
ticks=5{Range@17-1,Range@9-1};
doPlot@n_:=ListPlot[NestList[Flatten[f@#,1]&,{{2,1}},n],GridLines->ticks,Frame->True,FrameTicks->ticks,AspectRatio->1,PlotRange->{{0,80},{0,40}},LabelStyle->Directive@Medium,PlotStyle->style@n];
n=8;
out=doPlot@n
Export["Coprime"<>ToString@n<>".svg",out]

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