Generating Samples at Points used in pgfplots












1















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}


enter image description here






pgfplots







share|improve this question























  • Sure, with pgfplotsinvokeforeach ...

    – marmot
    Mar 12 at 3:05
















1















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}


enter image description here






pgfplots







share|improve this question























  • Sure, with pgfplotsinvokeforeach ...

    – marmot
    Mar 12 at 3:05














1












1








1








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}


enter image description here






pgfplots







share|improve this question














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}


enter image description here






pgfplots




pgfplots






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Mar 12 at 2:38









GrandFleetGrandFleet

1848




1848













  • Sure, with pgfplotsinvokeforeach ...

    – marmot
    Mar 12 at 3:05



















  • Sure, with pgfplotsinvokeforeach ...

    – marmot
    Mar 12 at 3:05

















Sure, with pgfplotsinvokeforeach ...

– marmot
Mar 12 at 3:05





Sure, with pgfplotsinvokeforeach ...

– marmot
Mar 12 at 3:05










1 Answer
1






active

oldest

votes


















0














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}


enter image description here






share|improve this answer























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    1 Answer
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    active

    oldest

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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    0














    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}


    enter image description here






    share|improve this answer




























      0














      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}


      enter image description here






      share|improve this answer


























        0












        0








        0







        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}


        enter image description here






        share|improve this answer













        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}


        enter image description here







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Mar 12 at 4:02









        marmotmarmot

        110k5136255




        110k5136255






























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