Btukfyl

For one of my academic courses, i need to generate sample lattices and was wondering if there was any way to generalize the hard-coded points I am using. Instead of repeating -5.19,-3.46,-1.73,0,1.73,3.46,5.19 all the time, is there a way to define a macro or equivalent.

    documentclass{standalone}



    usepackage{tikz}



    usepackage{pgfplots}

    pgfplotsset{width=5.5in,compat=1.10}

    begin{document}

      begin{tikzpicture}

      begin{axis}[axis lines=middle,

      xmin=-6, xmax=6,

            ymin=-6,ymax=6,

                    xlabel = $x$,

                    ylabel = $y$]

    addplot [->, thick,  red]

            coordinates { (0,0) (sqrt(3),1)} node[above right,pos=1] {$v_1$};

    addplot [->, thick,  blue]

            coordinates { (0,0) (0,2)} node[above right,pos=1] {$v_2$};



    addplot+ [mark=none,black] table {

    0.5 1

    -0.5 1

    -1 0

    -0.5 -1 

    0.5 -1

    1 0

    0.5 1

    };



    addplot[only marks, mark=o, samples at={-5.19,-3.46,-1.73,0,1.73,3.46,5.19}]{-0.55*x + 2};

    addplot[only marks, mark=o, samples at={-5.19,-3.46,-1.73,0,1.73,3.46,5.19}]{-0.55*x-2};



    addplot[only marks, mark=o, samples at={-5.19,-3.46,-1.73,0,1.73,3.46,5.19}]{-0.55*x-4};

    addplot[only marks, mark=o, samples at={-5.19,-3.46,-1.73,0,1.73,3.46,5.19}]{-0.55*x+4};



    addplot[only marks, mark=o, samples at={-5.19,-3.46,-1.73,0,1.73,3.46,5.19}]{-0.55*x-6};



    addplot[only marks, mark=o, samples at={-5.19,-3.46,-1.73,0,1.73,3.46,5.19}]{-0.55*x+6};



    addplot[only marks, mark=o, samples at={-5.19,-3.46,-1.73,0,1.73,3.46,5.19}]{-0.55*x};

    end{axis}

    end{tikzpicture}

    end{document}

You could use a loop. (Of course there are even simpler ways to create such lattices.)

documentclass[tikz,border=3.14mm]{standalone}

usepackage{pgfplots}

pgfplotsset{compat=1.16}

pgfplotsset{width=5.5in,compat=1.10}

begin{document}

  begin{tikzpicture}

  begin{axis}[axis lines=middle,

  xmin=-6, xmax=6,

        ymin=-6,ymax=6,

                xlabel = $x$,

                ylabel = $y$]

addplot [->, thick,  red]

        coordinates { (0,0) (sqrt(3),1)} node[above right,pos=1] {$v_1$};

addplot [->, thick,  blue]

        coordinates { (0,0) (0,2)} node[above right,pos=1] {$v_2$};



addplot+ [mark=none,black] table {

0.5 1

-0.5 1

-1 0

-0.5 -1 

0.5 -1

1 0

0.5 1

};

pgfplotsinvokeforeach{-6,-4,...,6}{

addplot[only marks, mark=o, samples

at={-5.19,-3.46,-1.73,0,1.73,3.46,5.19}]{-0.55*x + #1};}

end{axis}

end{tikzpicture}

end{document}