How to draw a much more dense grid or lattice?











up vote
2
down vote

favorite
1












My inquiries:




1) How to draw a much more dense grid in 2-dim?



2) How to draw a much more dense grid in 3-dim?




Let us say it is still 4 x 4 in 2d or 4 x 4 x 4 in 3D in size, but I want to have each side has 16 or 17 lattice point on unit 4 on the grid? (so 16 x 16 in 2D or 16 x 16 x 16 in 3D.)



Here is what I have:



begin{figure}[h!]
centering
begin{tikzpicture}
draw [very thin, lightgray] (0,0) grid (4,4);
end{tikzpicture}
label{fig:lattice}
caption{}
end{figure}


enter image description here










share|improve this question






















  • for 3d, take a look on : tex.stackexchange.com/questions/435503/drawing-3d-grids-cubes
    – flav
    6 hours ago















up vote
2
down vote

favorite
1












My inquiries:




1) How to draw a much more dense grid in 2-dim?



2) How to draw a much more dense grid in 3-dim?




Let us say it is still 4 x 4 in 2d or 4 x 4 x 4 in 3D in size, but I want to have each side has 16 or 17 lattice point on unit 4 on the grid? (so 16 x 16 in 2D or 16 x 16 x 16 in 3D.)



Here is what I have:



begin{figure}[h!]
centering
begin{tikzpicture}
draw [very thin, lightgray] (0,0) grid (4,4);
end{tikzpicture}
label{fig:lattice}
caption{}
end{figure}


enter image description here










share|improve this question






















  • for 3d, take a look on : tex.stackexchange.com/questions/435503/drawing-3d-grids-cubes
    – flav
    6 hours ago













up vote
2
down vote

favorite
1









up vote
2
down vote

favorite
1






1





My inquiries:




1) How to draw a much more dense grid in 2-dim?



2) How to draw a much more dense grid in 3-dim?




Let us say it is still 4 x 4 in 2d or 4 x 4 x 4 in 3D in size, but I want to have each side has 16 or 17 lattice point on unit 4 on the grid? (so 16 x 16 in 2D or 16 x 16 x 16 in 3D.)



Here is what I have:



begin{figure}[h!]
centering
begin{tikzpicture}
draw [very thin, lightgray] (0,0) grid (4,4);
end{tikzpicture}
label{fig:lattice}
caption{}
end{figure}


enter image description here










share|improve this question













My inquiries:




1) How to draw a much more dense grid in 2-dim?



2) How to draw a much more dense grid in 3-dim?




Let us say it is still 4 x 4 in 2d or 4 x 4 x 4 in 3D in size, but I want to have each side has 16 or 17 lattice point on unit 4 on the grid? (so 16 x 16 in 2D or 16 x 16 x 16 in 3D.)



Here is what I have:



begin{figure}[h!]
centering
begin{tikzpicture}
draw [very thin, lightgray] (0,0) grid (4,4);
end{tikzpicture}
label{fig:lattice}
caption{}
end{figure}


enter image description here







tikz-pgf tikz-styles technical-drawing draw grids






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked 6 hours ago









wonderich

578518




578518












  • for 3d, take a look on : tex.stackexchange.com/questions/435503/drawing-3d-grids-cubes
    – flav
    6 hours ago


















  • for 3d, take a look on : tex.stackexchange.com/questions/435503/drawing-3d-grids-cubes
    – flav
    6 hours ago
















for 3d, take a look on : tex.stackexchange.com/questions/435503/drawing-3d-grids-cubes
– flav
6 hours ago




for 3d, take a look on : tex.stackexchange.com/questions/435503/drawing-3d-grids-cubes
– flav
6 hours ago










2 Answers
2






active

oldest

votes

















up vote
3
down vote













Here is a 3D grid.



documentclass[tikz,border=3.14mm]{standalone}
usepackage{tikz-3dplot}
tdplotsetmaincoords{70}{110}
begin{document}
begin{tikzpicture}[tdplot_main_coords]
foreach X in {0,1,...,16}
{foreach Y in {0,1,...,16}
{draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
end{tikzpicture}
end{document}


enter image description here



And here is an illustration that shows what the view does.



documentclass[tikz,border=3.14mm]{standalone}
usepackage{tikz-3dplot}
begin{document}
foreach Rot in {0,10,...,360}
{tdplotsetmaincoords{70+15*sin(Rot)}{Rot}
begin{tikzpicture}[tdplot_main_coords]
path[use as bounding box,tdplot_screen_coords] (-6,-2) rectangle (6,7);
foreach X in {0,1,...,16}
{foreach Y in {0,1,...,16}
{draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
end{tikzpicture} }
end{document}


enter image description here






share|improve this answer




























    up vote
    2
    down vote













    The step key is used to indicate this.



    steps



    documentclass{article}
    usepackage{tikz}
    begin{document}

    begin{tikzpicture}
    draw [very thin, lightgray] (0,0) grid (4,4);

    begin{scope}[xshift=5cm]
    draw [very thin, lightgray,step=.1] (0,0) grid (4,4);
    end{scope}
    end{tikzpicture}
    end{document}





    share|improve this answer





















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      2 Answers
      2






      active

      oldest

      votes








      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes








      up vote
      3
      down vote













      Here is a 3D grid.



      documentclass[tikz,border=3.14mm]{standalone}
      usepackage{tikz-3dplot}
      tdplotsetmaincoords{70}{110}
      begin{document}
      begin{tikzpicture}[tdplot_main_coords]
      foreach X in {0,1,...,16}
      {foreach Y in {0,1,...,16}
      {draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
      draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
      draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
      end{tikzpicture}
      end{document}


      enter image description here



      And here is an illustration that shows what the view does.



      documentclass[tikz,border=3.14mm]{standalone}
      usepackage{tikz-3dplot}
      begin{document}
      foreach Rot in {0,10,...,360}
      {tdplotsetmaincoords{70+15*sin(Rot)}{Rot}
      begin{tikzpicture}[tdplot_main_coords]
      path[use as bounding box,tdplot_screen_coords] (-6,-2) rectangle (6,7);
      foreach X in {0,1,...,16}
      {foreach Y in {0,1,...,16}
      {draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
      draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
      draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
      end{tikzpicture} }
      end{document}


      enter image description here






      share|improve this answer

























        up vote
        3
        down vote













        Here is a 3D grid.



        documentclass[tikz,border=3.14mm]{standalone}
        usepackage{tikz-3dplot}
        tdplotsetmaincoords{70}{110}
        begin{document}
        begin{tikzpicture}[tdplot_main_coords]
        foreach X in {0,1,...,16}
        {foreach Y in {0,1,...,16}
        {draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
        draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
        draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
        end{tikzpicture}
        end{document}


        enter image description here



        And here is an illustration that shows what the view does.



        documentclass[tikz,border=3.14mm]{standalone}
        usepackage{tikz-3dplot}
        begin{document}
        foreach Rot in {0,10,...,360}
        {tdplotsetmaincoords{70+15*sin(Rot)}{Rot}
        begin{tikzpicture}[tdplot_main_coords]
        path[use as bounding box,tdplot_screen_coords] (-6,-2) rectangle (6,7);
        foreach X in {0,1,...,16}
        {foreach Y in {0,1,...,16}
        {draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
        draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
        draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
        end{tikzpicture} }
        end{document}


        enter image description here






        share|improve this answer























          up vote
          3
          down vote










          up vote
          3
          down vote









          Here is a 3D grid.



          documentclass[tikz,border=3.14mm]{standalone}
          usepackage{tikz-3dplot}
          tdplotsetmaincoords{70}{110}
          begin{document}
          begin{tikzpicture}[tdplot_main_coords]
          foreach X in {0,1,...,16}
          {foreach Y in {0,1,...,16}
          {draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
          draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
          draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
          end{tikzpicture}
          end{document}


          enter image description here



          And here is an illustration that shows what the view does.



          documentclass[tikz,border=3.14mm]{standalone}
          usepackage{tikz-3dplot}
          begin{document}
          foreach Rot in {0,10,...,360}
          {tdplotsetmaincoords{70+15*sin(Rot)}{Rot}
          begin{tikzpicture}[tdplot_main_coords]
          path[use as bounding box,tdplot_screen_coords] (-6,-2) rectangle (6,7);
          foreach X in {0,1,...,16}
          {foreach Y in {0,1,...,16}
          {draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
          draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
          draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
          end{tikzpicture} }
          end{document}


          enter image description here






          share|improve this answer












          Here is a 3D grid.



          documentclass[tikz,border=3.14mm]{standalone}
          usepackage{tikz-3dplot}
          tdplotsetmaincoords{70}{110}
          begin{document}
          begin{tikzpicture}[tdplot_main_coords]
          foreach X in {0,1,...,16}
          {foreach Y in {0,1,...,16}
          {draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
          draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
          draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
          end{tikzpicture}
          end{document}


          enter image description here



          And here is an illustration that shows what the view does.



          documentclass[tikz,border=3.14mm]{standalone}
          usepackage{tikz-3dplot}
          begin{document}
          foreach Rot in {0,10,...,360}
          {tdplotsetmaincoords{70+15*sin(Rot)}{Rot}
          begin{tikzpicture}[tdplot_main_coords]
          path[use as bounding box,tdplot_screen_coords] (-6,-2) rectangle (6,7);
          foreach X in {0,1,...,16}
          {foreach Y in {0,1,...,16}
          {draw (X/4,Y/4,0) -- (X/4,Y/4,16/4);
          draw (X/4,0,Y/4) -- (X/4,16/4,Y/4);
          draw (0,X/4,Y/4) -- (16/4,X/4,Y/4);}}
          end{tikzpicture} }
          end{document}


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 2 hours ago









          marmot

          82.3k492175




          82.3k492175






















              up vote
              2
              down vote













              The step key is used to indicate this.



              steps



              documentclass{article}
              usepackage{tikz}
              begin{document}

              begin{tikzpicture}
              draw [very thin, lightgray] (0,0) grid (4,4);

              begin{scope}[xshift=5cm]
              draw [very thin, lightgray,step=.1] (0,0) grid (4,4);
              end{scope}
              end{tikzpicture}
              end{document}





              share|improve this answer

























                up vote
                2
                down vote













                The step key is used to indicate this.



                steps



                documentclass{article}
                usepackage{tikz}
                begin{document}

                begin{tikzpicture}
                draw [very thin, lightgray] (0,0) grid (4,4);

                begin{scope}[xshift=5cm]
                draw [very thin, lightgray,step=.1] (0,0) grid (4,4);
                end{scope}
                end{tikzpicture}
                end{document}





                share|improve this answer























                  up vote
                  2
                  down vote










                  up vote
                  2
                  down vote









                  The step key is used to indicate this.



                  steps



                  documentclass{article}
                  usepackage{tikz}
                  begin{document}

                  begin{tikzpicture}
                  draw [very thin, lightgray] (0,0) grid (4,4);

                  begin{scope}[xshift=5cm]
                  draw [very thin, lightgray,step=.1] (0,0) grid (4,4);
                  end{scope}
                  end{tikzpicture}
                  end{document}





                  share|improve this answer












                  The step key is used to indicate this.



                  steps



                  documentclass{article}
                  usepackage{tikz}
                  begin{document}

                  begin{tikzpicture}
                  draw [very thin, lightgray] (0,0) grid (4,4);

                  begin{scope}[xshift=5cm]
                  draw [very thin, lightgray,step=.1] (0,0) grid (4,4);
                  end{scope}
                  end{tikzpicture}
                  end{document}






                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 6 hours ago









                  AndréC

                  6,96211140




                  6,96211140






























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