Sstrhsrtj

I am trying to adjust the unit vectors for each of the axis, and draw a coordinate grid. I can get it to work without specifying the unit vectors, of specifying it as:

x={(1.0cm,0.0cm)}, y={(0.0cm,1.0cm), z={(-0.5cm,-0.1cm)}

Since I don't notice any difference in the output I am assuming that the above are the default settings. The above yields the graph on the left, but if I specify

x={(-0.5cm,-0.5cm)}, y={(0.9659cm,-0.25882cm)}, z={(0cm,1cm)}

then I get the grid on the right where the x-y grid (in red) does not quite look right to me.

The triangle in yellow is to show that the coordinates are working fine as it is drawn as:

begin{scope}[canvas is xy plane at z=0]

  draw [fill=yellow!10,opacity=0.2] (0,1) -- (3,0) -- (0,4) -- cycle;

end{scope}

References:

• A very good reference for the unit vectors is available at Drawing simple 3D cylinders in TikZ
  


• The settings for the unit vectors that I am trying to use are from the 3d box example from altermundus.com
  

Code:

documentclass{standalone}



usepackage{xparse}

usepackage{tikz}

usetikzlibrary{3d}



NewDocumentCommand{DrawCoordinateGrid}{O{} m m m m m m}{%

    defXGridMin{#2}

    defXGridMax{#3}

    defYGridMin{#4}

    defYGridMax{#5}

    defZGridMin{#6}

    defZGridMax{#7}

    %

    begin{scope}[canvas is xy plane at z=0, thick, red]

      draw [#1] (XGridMin,YGridMin) grid (XGridMax,YGridMax);

    end{scope}

    begin{scope}[canvas is yz plane at x=0, thin, blue]

      draw [#1] (YGridMin,ZGridMin) grid (YGridMax,ZGridMax);

    end{scope}

    begin{scope}[canvas is xz plane at y=0, thin, orange]

      draw [#1] (XGridMin,ZGridMin) grid (XGridMax,ZGridMax);

    end{scope}

}%



NewDocumentCommand{DrawCoordinateAxis}{O{} m m m m m m}{%

    defXAxisMin{#2}

    defXAxisMax{#3}

    defYAxisMin{#4}

    defYAxisMax{#5}

    defZAxisMin{#6}

    defZAxisMax{#7}

    %

    begin{scope}[thin, gray, -latex]

        draw [#1] (XAxisMin,0,0) -- (XAxisMax,0,0) node [below left] {$x$};

        draw [#1] (0,YAxisMin,0) -- (0,YAxisMax,0) node [right] {$y$};

        draw [#1] (0,0,ZAxisMin) -- (0,0,ZAxisMax) node [above] {$z$};

    end{scope}

}%



% A macro to save repeating the code

newcommand*{DrawTriangle}{%

    begin{scope}[canvas is xy plane at z=0]

      draw [fill=yellow!10,opacity=0.2] (0,1) -- (3,0) -- (0,4) -- cycle;

    end{scope}

}%





begin{document}

begin{tikzpicture}[

    x={(1.0cm,0.0cm)}, y={(0.0cm,1.0cm), z={(-0.5cm,-0.1cm)}}% All grids are ok

    ]



    DrawCoordinateGrid{0}{4}{0}{4}{0}{4}

    DrawCoordinateAxis[thick, black]{0}{5}{0}{5}{0}{5}



    DrawTriangle;% For reference purposes

end{tikzpicture}

%

begin{tikzpicture}[

    x={(-0.5cm,-0.5cm)}, y={(0.9659cm,-0.25882cm)}, z={(0cm,1cm)}% x-y grid is wacky

    ]



    DrawCoordinateGrid{0}{4}{0}{4}{0}{4}

    DrawCoordinateAxis[thick, black]{0}{5}{0}{5}{0}{5}



    DrawTriangle;% For reference purposes

end{tikzpicture}

end{document}

The implementation of canvas is xy plane at z in tikzlibrary3d.code.tex is incorrect, it merely sets a coordinate shift, but doesn't activate the full transformation code necessary. You can redefine the key correctly within your document:

documentclass{standalone}



usepackage{xparse}

usepackage{tikz}



usetikzlibrary{3d}

makeatletter

tikzoption{canvas is xy plane at z}{%

  deftikz@plane@origin{pgfpointxyz{0}{0}{#1}}%

  deftikz@plane@x{pgfpointxyz{1}{0}{#1}}%

  deftikz@plane@y{pgfpointxyz{0}{1}{#1}}%

  tikz@canvas@is@plane

}

makeatother





NewDocumentCommand{DrawCoordinateGrid}{O{} m m m m m m}{%

    defXGridMin{#2}

    defXGridMax{#3}

    defYGridMin{#4}

    defYGridMax{#5}

    defZGridMin{#6}

    defZGridMax{#7}

    %

    begin{scope}[canvas is xy plane at z=0, thick, red]

      draw [#1] (XGridMin,YGridMin) grid (XGridMax,YGridMax);

    end{scope}

    begin{scope}[canvas is yz plane at x=0, thin, blue]

      draw [#1] (YGridMin,ZGridMin) grid (YGridMax,ZGridMax);

    end{scope}

    begin{scope}[canvas is xz plane at y=0, thin, orange]

      draw [#1] (XGridMin,ZGridMin) grid (XGridMax,ZGridMax);

    end{scope}

}%



NewDocumentCommand{DrawCoordinateAxis}{O{} m m m m m m}{%

    defXAxisMin{#2}

    defXAxisMax{#3}

    defYAxisMin{#4}

    defYAxisMax{#5}

    defZAxisMin{#6}

    defZAxisMax{#7}

    %

    begin{scope}[thin, gray, -latex]

        draw [#1] (XAxisMin,0,0) -- (XAxisMax,0,0) node [below left] {$x$};

        draw [#1] (0,YAxisMin,0) -- (0,YAxisMax,0) node [right] {$y$};

        draw [#1] (0,0,ZAxisMin) -- (0,0,ZAxisMax) node [above] {$z$};

    end{scope}

}%



% A macro to save repeating the code

newcommand*{DrawTriangle}{%

    begin{scope}[canvas is xy plane at z=0]

      draw [fill=yellow!50,opacity=0.6] (0,1) -- (3,0) -- (0,4) -- cycle;

    end{scope}

}%





begin{document}

begin{tikzpicture}[

    x={(1.0cm,0.0cm)}, y={(0.0cm,1.0cm), z={(-0.5cm,-0.1cm)}}% All grids are ok

    ]



    DrawCoordinateGrid{0}{4}{0}{4}{0}{4}

    DrawCoordinateAxis[thick, black]{0}{5}{0}{5}{0}{5}



    DrawTriangle;% For reference purposes

end{tikzpicture}

%

begin{tikzpicture}[

    x={(-0.5cm,-0.5cm)}, y={(0.9659cm,-0.25882cm)}, z={(0cm,1cm)}% x-y grid is wacky

    ]



    DrawCoordinateGrid{0}{4}{0}{4}{0}{4}

    DrawCoordinateAxis[thick, black]{0}{5}{0}{5}{0}{5}



    DrawTriangle;% For reference purposes

end{tikzpicture}

end{document}

I agree with Jake and Jake's answer is fine. I remarked this problem but I never tried to change something and I used a workaround with the yx plane instead of xy plane.

documentclass{article}

usepackage{tikz}

usetikzlibrary{3d}





begin{document}



 begin{tikzpicture} [x={(-0.6cm,-0.4cm)}, y={(1cm,0cm)}, z={(0cm,1cm)}, scale=2]   

   begin{scope}[canvas is zy plane at x=0]

     draw[red,thick] (2,2) circle (1cm);

     draw [red!30] (0,0) grid (4,4);

     draw[top color=red!30,fill opacity=.5,red] (3,0)--(3,3)--(0,2)--cycle;   

   end{scope}



   begin{scope}[canvas is zx plane at y=0]

     draw[blue,thick] (2,2) circle (1cm);

     draw [blue!30] (0,0) grid (4,4); 

     draw [black,->] (0,0) -- (1,0) node[left] {z};

      draw[top color=blue!30,fill opacity=.5,blue] (3,0)--(3,3)--(0,2)--cycle;       

   end{scope}



   begin{scope}[canvas is yx plane at z=0]

     draw[orange,thick] (2,2) circle (1cm);

     draw [orange!30] (0,0) grid (4,4);   

     draw [black,->] (0,0) -- (1,0)node[above] {y};  

     draw [black,->] (0,0) -- (0,1)node[above] {x}; 

     draw[top color=orange!30,fill opacity=.5,orange] (3,0)--(3,3)--(0,2)--cycle;   

   end{scope}

 end{tikzpicture}    

end{document}      

With [x={(-0.5cm,-0.5cm)}, y={(0.9659cm,-0.25882cm)}, z={(0cm,1cm)}, scale=2]

a solution with PSTricks. Run it with xelatex

documentclass[12pt]{article}

usepackage{pst-3dplot}

pagestyle{empty}

begin{document}



begin{pspicture}(-5,-5)(5,6.5)

pstThreeDCoor[xMin=0,yMin=0,zMin=0,xMax=5,yMax=5,zMax=5,linewidth=2pt]%

psset{linewidth=0.1pt,linecolor=black!50,subticks=4}

pstThreeDPlaneGrid(0,0)(4,4)%

pstThreeDPlaneGrid[planeGrid=xz](0,0)(4,4)%

pstThreeDPlaneGrid[planeGrid=yz](0,0)(4,4)%

pstThreeDTriangle*[opacity=0.4](0,3,0)(0,0,1)(0,0,4)

pstThreeDTriangle[fillstyle=solid,fillcolor=yellow,opacity=0.4](3,0,0)(0,1,0)(0,4,0)

end{pspicture}



end{document}