Cfrgtkky

I want to modify my three-dimensional Cartesian coordinate system as shown in the picture attached.

1. I would like to have numbers under my ticks.


2. I want parts of the grid to be parallel to the x_1 axis.

What changes have to be made to my code?

MWE:

documentclass{scrartcl}



usepackage{pgfplots}

pgfplotsset{compat=newest}



begin{document}



begin{center}

begin{tikzpicture}

draw[gray!60!white, thick] (-4.99,-4.99) grid (9.99,9.99);

draw[->, >=latex, ultra thick] (0,0,-2.6) -- (0,0,13) node[left]{$x_1$};

draw[->, >=latex, ultra thick] (0,0,0) -- (10,0,0) node[below]{$x_2$};

draw[->, >=latex, ultra thick] (0,0,0) -- (0,10,0) node[left]{$x_3$};

foreach z in {2.6,5.2,7.8,10.4}

draw[shift={(0,0,z)}, ultra thick] (0pt,0pt,0pt) -- (0pt,-0.21pt,0pt);

foreach x in {2,4,6,8}

draw[shift={(x,0)}, ultra thick] (0pt,0pt) -- (0pt,-6pt);

foreach y in {2,4,6,8}

draw[shift={(0,y)}, ultra thick] (0pt,0pt) -- (-6pt,0pt);

draw[fill=green!50!white, nearly transparent] (0,0,0) -- (0,0,12.7) -- (0,9.9,12.7) -- (0,9.9,0);

draw[fill=blue!50!white, nearly transparent] (0,0,0) -- (9.9,0,0) -- (9.9,9.9,0) -- (0,9.9,0);

draw[fill=red!50!white, nearly transparent] (0,0,0) -- (9.9,0,0) -- (9.9,0,12.7) -- (0,0,12.7);

draw[blue, ultra thick, ->] (4,0,5.2) -- (4,4,5.2);

draw[red, ultra thick, ->] (0,0,5.2) -- (4,0,5.2);

draw[green, ultra thick, ->] (0,0,0) -- (0,0,5.2);

shade[ball color=yellow] (4,4,5.2) circle (0.2);

end{tikzpicture}

end{center}



end{document}

With some styles and declare function for constants. The grids are drawn manually with one loop, the ticks with labels with a second loop. Use the scale parameter to adjust the size of the diagram.

documentclass{scrartcl}

usepackage{tikz}

begin{document}



begin{center}

begin{tikzpicture}[

  scale=2,

  axisstyle/.style={

    ->,

    >=latex,

    ultra thick

  },

  gridstyle/.style={

    gray!60!white, thick

  },

  tickstyle/.style={

    ultra thick

  },

  axisbg/.style={

    fill=#1!50,

    nearly transparent

  },

  arrows/.style={

    ultra thick,

    ->,

    #1

  },

  declare function={

    ticklen=0.15;

    xmax=5;

    ymax=5;

    zmax=5;

  },

]    



draw[axisstyle] (0,0,-1) -- (0,0,zmax) node[left]{$x_1$};

draw[axisstyle] (0,0,0) -- (xmax,0,0) node[below]{$x_2$};

draw[axisstyle] (0,0,0) -- (0,ymax,0) node[left]{$x_3$};



foreach x in {0.5,1,...,4.5}

{

  draw [gridstyle] (0,0,x) -- (xmax,0,x);

  draw [gridstyle] (0,0,x) -- (0,ymax,x);



  draw [gridstyle] (x,0,0) -- (x,0,zmax);

  draw [gridstyle] (x,0,0) -- (x,ymax,0);



  draw [gridstyle] (0,x,0) -- (0,x,zmax);

  draw [gridstyle] (0,x,0) -- (xmax,x,0);

}

foreach x in {1,...,4}

{

  draw [tickstyle] (0,0,x) -- (0,-ticklen,x) node[below] {$x$};



  draw [tickstyle] (x,0,0) -- (x,-ticklen,0) node[below] {$x$};



  draw [tickstyle] (0,x,0) -- (-ticklen,x,0) node[left] {$x$};

}



fill[axisbg=green] (0,0,0) -- (0,0,zmax) -- (0,ymax,zmax) -- (0,ymax,0);

fill[axisbg=blue]  (0,0,0) -- (xmax,0,0) -- (xmax,ymax,0) -- (0,ymax,0);

fill[axisbg=red]   (0,0,0) -- (xmax,0,0) -- (xmax,0,zmax) -- (0,0,zmax);



draw[arrows=blue]  (2,0,2) -- (2,2,2);

draw[arrows=red]   (0,0,2) -- (2,0,2);

draw[arrows=green] (0,0,0) -- (0,0,2);



shade[ball color=yellow] (2,2,2) circle[radius=0.1];



end{tikzpicture}

end{center}



end{document}

A quick solution:

documentclass{scrartcl}



usepackage{pgfplots}

pgfplotsset{compat=newest}



begin{document}



begin{center}

begin{tikzpicture}

%draw[gray!60!white, thick] (-4.99,-4.99) grid (9.99,9.99);

draw[->, >=latex, ultra thick] (0,0,-2.6) -- (0,0,13) node[left]{$x_1$};

draw[->, >=latex, ultra thick] (0,0,0) -- (10,0,0) node[below]{$x_2$};

draw[->, >=latex, ultra thick] (0,0,0) -- (0,10,0) node[left]{$x_3$};

foreach z/zc in {2.6/1,5.2/2,7.8/3,10.4/4}{

draw[shift={(0,0,z)}, ultra thick] (0pt,0pt,0pt) -- (0pt,-0.21pt,0pt)node[below]{zc};

draw[gray!60!white, thick](0,0,z)--++(0:10);

draw[gray!60!white, thick](0,0,z)--++(90:10);}

foreach x/xc in {2/1,4/2,6/3,8/4}{

draw[shift={(x,0)}, ultra thick] (0pt,0pt) -- (0pt,-6pt)node[below]{xc};

draw[gray!60!white, thick](x,0)--++(0:10);

draw[gray!60!white, thick](x,0)--++(90:10);

draw[gray!60!white, thick](x,0)--++(-135:7);}

foreach y/yc in {2/1,4/2,6/3,8/4}{

draw[shift={(0,y)}, ultra thick] (0pt,0pt) -- (-6pt,0pt)node[left]{yc};

draw[gray!60!white, thick](0,y)--++(0:10);

draw[gray!60!white, thick](0,y)--++(-135:7);}

draw[fill=green!50!white, nearly transparent] (0,0,0) -- (0,0,12.7) -- (0,9.9,12.7) -- (0,9.9,0);

draw[fill=blue!50!white, nearly transparent] (0,0,0) -- (9.9,0,0) -- (9.9,9.9,0) -- (0,9.9,0);

draw[fill=red!50!white, nearly transparent] (0,0,0) -- (9.9,0,0) -- (9.9,0,12.7) -- (0,0,12.7);

draw[blue, ultra thick, ->] (4,0,5.2) -- (4,4,5.2);

draw[red, ultra thick, ->] (0,0,5.2) -- (4,0,5.2);

draw[green, ultra thick, ->] (0,0,0) -- (0,0,5.2);

shade[ball color=yellow] (4,4,5.2) circle (0.2);

end{tikzpicture}

end{center}



end{document}

As you are loading pgfplots, why not using it? It does all the grids with a simple option.

documentclass{scrartcl}



usepackage{pgfplots}

pgfplotsset{compat=newest}



begin{document}



begin{center}

begin{tikzpicture}

begin{axis}[x={(10,0)},y={(0,10)},z={({-10/sqrt(8)},{-10/sqrt(8)})},

grid = both,minor tick num=4,xmin=0,xmax=9.9,ymin=0,ymax=9.9,zmin=0,zmax=12.7,

ticks=none,clip=false,tick style={opacity=0}]

draw[->, >=latex, ultra thick] (0,0,-2.6) -- (0,0,13) node[left]{$x_1$};

draw[->, >=latex, ultra thick] (0,0,0) -- (10,0,0) node[below]{$x_2$};

draw[->, >=latex, ultra thick] (0,0,0) -- (0,10,0) node[left]{$x_3$};

draw[fill=green!50!white, nearly transparent] (0,0,0) -- (0,0,12.7) -- (0,9.9,12.7) -- (0,9.9,0);

draw[fill=blue!50!white, nearly transparent] (0,0,0) -- (9.9,0,0) -- (9.9,9.9,0) -- (0,9.9,0);

draw[fill=red!50!white, nearly transparent] (0,0,0) -- (9.9,0,0) -- (9.9,0,12.7) -- (0,0,12.7);



addplot3[->,no marks,blue,ultra thick] coordinates {(4,0,5.2) (4,4,5.2)};

addplot3[->,no marks,red,ultra thick] coordinates {(0,0,5.2) (4,0,5.2)};

addplot3[->,no marks,green,ultra thick] coordinates {(0,0,0) (0,0,5.2)};

shade[ball color=yellow] (4,4,5.2) circle (0.2);

end{axis}

end{tikzpicture}

end{center}

end{document}

EDIT: Fixed the z units.