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How to anchor the origin (0,0,0) to the center of multiple generated images in tikz?


TikZ: Cropping the Bounding BoxAlign edges with anchor other than centerHow to define the default vertical distance between nodes?Understanding TikZ border anchorEdge anchor in tikztikz and pgfdeclareshape why the text is not at the center anchor?small multiple images moving toward each other in beamertikz anchor unexpectedtikz-cd nested tikzpicture wrong center anchortikz: show 0 at the axis origin






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty{ margin-bottom:0;
}







2















I have the following file to generate an animation with a separate file



documentclass[tikz, border=1cm]{standalone}



usepackage{tkz-euclide}

usetkzobj{all}



begin{document}



foreach vari in {0,5,10,15,...,360}

{



  begin{tikzpicture}

    [

      scale=.5,

      x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},

      rotate around z=vari

    ]



        % coordinates



        coordinate (A) at (3,-3,0);

        coordinate (B) at (3,3,0);

        coordinate (C) at (-3,3,0);

        coordinate (D) at (-3,-3,0);

        coordinate (E) at (3,-3,3);

        coordinate (F) at (3,3,3);

        coordinate (G) at (-3,3,3);

        coordinate (H) at (-3,-3,3);



        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](C,D,H,G)



        % Axes 3d



        draw[->,>=stealth] (3,0,0) -- (5,0,0);

        draw[->,>=stealth] (0,3,0) -- (0,5,0);

        draw[dashed] (0,0,0) -- (0,0,4);

        draw[dashed] (0,0,0) -- (0,3,0);

        draw[dashed] (0,0,0) -- (3,0,0);



        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,C,D)

        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](B,C,G,F)

        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,D,H,E)

        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,F,E)

        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](G,H,E,F)



        tkzDrawSegments[ultra thick](A,B B,C C,G G,H H,E E,F E,A F,B F,G)

        tkzLabelPoints[above](E,F,G,H)

        tkzLabelPoints[below](A,B,C,D)



        draw[->,>=stealth] (0,0,4) -- (0,0,7); 

    end{tikzpicture}  

}

end{document}


but my problem is that the point (0,0,0) changes place during rotation and I would like to have it in a single place throughout the entire animation. Is there a way to anchor it?



Thank you.






tikz-pgf animate







share|improve this question





























    2















    I have the following file to generate an animation with a separate file



    documentclass[tikz, border=1cm]{standalone}
    

    
usepackage{tkz-euclide}
    
usetkzobj{all}
    

    
begin{document}
    

    
foreach vari in {0,5,10,15,...,360}
    
{
    

    
  begin{tikzpicture}
    
    [
    
      scale=.5,
    
      x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},
    
      rotate around z=vari
    
    ]
    

    
        % coordinates
    

    
        coordinate (A) at (3,-3,0);
    
        coordinate (B) at (3,3,0);
    
        coordinate (C) at (-3,3,0);
    
        coordinate (D) at (-3,-3,0);
    
        coordinate (E) at (3,-3,3);
    
        coordinate (F) at (3,3,3);
    
        coordinate (G) at (-3,3,3);
    
        coordinate (H) at (-3,-3,3);
    

    
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](C,D,H,G)
    

    
        % Axes 3d
    

    
        draw[->,>=stealth] (3,0,0) -- (5,0,0);
    
        draw[->,>=stealth] (0,3,0) -- (0,5,0);
    
        draw[dashed] (0,0,0) -- (0,0,4);
    
        draw[dashed] (0,0,0) -- (0,3,0);
    
        draw[dashed] (0,0,0) -- (3,0,0);
    

    
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,C,D)
    
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](B,C,G,F)
    
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,D,H,E)
    
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,F,E)
    
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](G,H,E,F)
    

    
        tkzDrawSegments[ultra thick](A,B B,C C,G G,H H,E E,F E,A F,B F,G)
    
        tkzLabelPoints[above](E,F,G,H)
    
        tkzLabelPoints[below](A,B,C,D)
    

    
        draw[->,>=stealth] (0,0,4) -- (0,0,7); 
    
    end{tikzpicture}  
    
}
    
end{document}


    but my problem is that the point (0,0,0) changes place during rotation and I would like to have it in a single place throughout the entire animation. Is there a way to anchor it?



    Thank you.






    tikz-pgf animate







    share|improve this question

























      2












      2








      2








      I have the following file to generate an animation with a separate file



      documentclass[tikz, border=1cm]{standalone}
      

      
usepackage{tkz-euclide}
      
usetkzobj{all}
      

      
begin{document}
      

      
foreach vari in {0,5,10,15,...,360}
      
{
      

      
  begin{tikzpicture}
      
    [
      
      scale=.5,
      
      x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},
      
      rotate around z=vari
      
    ]
      

      
        % coordinates
      

      
        coordinate (A) at (3,-3,0);
      
        coordinate (B) at (3,3,0);
      
        coordinate (C) at (-3,3,0);
      
        coordinate (D) at (-3,-3,0);
      
        coordinate (E) at (3,-3,3);
      
        coordinate (F) at (3,3,3);
      
        coordinate (G) at (-3,3,3);
      
        coordinate (H) at (-3,-3,3);
      

      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](C,D,H,G)
      

      
        % Axes 3d
      

      
        draw[->,>=stealth] (3,0,0) -- (5,0,0);
      
        draw[->,>=stealth] (0,3,0) -- (0,5,0);
      
        draw[dashed] (0,0,0) -- (0,0,4);
      
        draw[dashed] (0,0,0) -- (0,3,0);
      
        draw[dashed] (0,0,0) -- (3,0,0);
      

      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,C,D)
      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](B,C,G,F)
      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,D,H,E)
      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,F,E)
      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](G,H,E,F)
      

      
        tkzDrawSegments[ultra thick](A,B B,C C,G G,H H,E E,F E,A F,B F,G)
      
        tkzLabelPoints[above](E,F,G,H)
      
        tkzLabelPoints[below](A,B,C,D)
      

      
        draw[->,>=stealth] (0,0,4) -- (0,0,7); 
      
    end{tikzpicture}  
      
}
      
end{document}


      but my problem is that the point (0,0,0) changes place during rotation and I would like to have it in a single place throughout the entire animation. Is there a way to anchor it?



      Thank you.






      tikz-pgf animate







      share|improve this question














      I have the following file to generate an animation with a separate file



      documentclass[tikz, border=1cm]{standalone}
      

      
usepackage{tkz-euclide}
      
usetkzobj{all}
      

      
begin{document}
      

      
foreach vari in {0,5,10,15,...,360}
      
{
      

      
  begin{tikzpicture}
      
    [
      
      scale=.5,
      
      x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},
      
      rotate around z=vari
      
    ]
      

      
        % coordinates
      

      
        coordinate (A) at (3,-3,0);
      
        coordinate (B) at (3,3,0);
      
        coordinate (C) at (-3,3,0);
      
        coordinate (D) at (-3,-3,0);
      
        coordinate (E) at (3,-3,3);
      
        coordinate (F) at (3,3,3);
      
        coordinate (G) at (-3,3,3);
      
        coordinate (H) at (-3,-3,3);
      

      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](C,D,H,G)
      

      
        % Axes 3d
      

      
        draw[->,>=stealth] (3,0,0) -- (5,0,0);
      
        draw[->,>=stealth] (0,3,0) -- (0,5,0);
      
        draw[dashed] (0,0,0) -- (0,0,4);
      
        draw[dashed] (0,0,0) -- (0,3,0);
      
        draw[dashed] (0,0,0) -- (3,0,0);
      

      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,C,D)
      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](B,C,G,F)
      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,D,H,E)
      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,F,E)
      
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](G,H,E,F)
      

      
        tkzDrawSegments[ultra thick](A,B B,C C,G G,H H,E E,F E,A F,B F,G)
      
        tkzLabelPoints[above](E,F,G,H)
      
        tkzLabelPoints[below](A,B,C,D)
      

      
        draw[->,>=stealth] (0,0,4) -- (0,0,7); 
      
    end{tikzpicture}  
      
}
      
end{document}


      but my problem is that the point (0,0,0) changes place during rotation and I would like to have it in a single place throughout the entire animation. Is there a way to anchor it?



      Thank you.






      tikz-pgf animate




      tikz-pgf animate






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 8 hours ago









      Concept7Concept7

      1237 bronze badges




      1237 bronze badges






















          1 Answer
          1






          active

          oldest

          votes


















          3














          It is not the point (0,0,0) that changes but the bounding box. To prevent this from happening, you can set a bounding box yourself, e.g. by saying 



            path[use as bounding box] (-4,-1.45) rectangle (4,4);


          This yields



          documentclass[tikz, border=1cm]{standalone}
          

          
usepackage{tkz-euclide}
          
usetkzobj{all}
          

          
begin{document}
          

          
foreach vari in {0,5,10,15,...,360}
          
{
          

          
  begin{tikzpicture}
          
  path[use as bounding box] (-4,-1.45) rectangle (4,4);
          
  begin{scope}
          
    [
          
      scale=.5,
          
      x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},
          
      rotate around z=vari
          
    ]
          

          
        % coordinates
          
        coordinate (A) at (3,-3,0);
          
        coordinate (B) at (3,3,0);
          
        coordinate (C) at (-3,3,0);
          
        coordinate (D) at (-3,-3,0);
          
        coordinate (E) at (3,-3,3);
          
        coordinate (F) at (3,3,3);
          
        coordinate (G) at (-3,3,3);
          
        coordinate (H) at (-3,-3,3);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](C,D,H,G)
          

          
        % Axes 3d
          

          
        draw[->,>=stealth] (3,0,0) -- (5,0,0);
          
        draw[->,>=stealth] (0,3,0) -- (0,5,0);
          
        draw[dashed] (0,0,0) -- (0,0,4);
          
        draw[dashed] (0,0,0) -- (0,3,0);
          
        draw[dashed] (0,0,0) -- (3,0,0);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,C,D)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](B,C,G,F)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,D,H,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,F,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](G,H,E,F)
          

          
        tkzDrawSegments[ultra thick](A,B B,C C,G G,H H,E E,F E,A F,B F,G)
          
        tkzLabelPoints[above](E,F,G,H)
          
        tkzLabelPoints[below](A,B,C,D)
          

          
        draw[->,>=stealth] (0,0,4) -- (0,0,7); 
          
    end{scope} 
          
    end{tikzpicture}  
          
}
          
end{document}


          enter image description here



          However, I would recommend tikz-3dplot for that. It allows you to do orthographic projections, and makes it more easy to distinguish hidden from foreground faces. I also use [a routine to determine the minimal bounding box that fits all frames.



          documentclass[tikz,border=3.14mm]{standalone}
          
usepackage{tikz-3dplot}
          
newcounter{x}
          
newcounter{y}
          
newcounter{z}
          
tikzset{plane/.style n args={3}{insert path={%
          
#1 -- ++ #2 -- ++ #3 -- ++ ($-1*#2$) -- cycle}},
          
xy plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}},
          
xz plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
yz plane/.style={plane={#1}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
get projections/.style={insert path={%
          
let p1=(1,0,0),p2=(0,1,0)  in 
          
[/utils/exec={pgfmathtruncatemacro{xproj}{sign(x1)}xdefxproj{xproj}
          
pgfmathtruncatemacro{yproj}{sign(x2)}xdefyproj{yproj}
          
pgfmathtruncatemacro{zproj}{sign(cos(tdplotmaintheta))}xdefzproj{zproj}}]}},
          
pics/3d block/.style={code={
          
tikzset{3d block/.cd,#1}
          
path[get projections];
          
ifnumzproj=-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumzproj>-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
}},
          
3d block/.cd,
          
xy face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
xz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
yz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
every face/.style={draw,very thick},
          
x length/.initial=1,
          
y length/.initial=1,
          
z length/.initial=1,
          
/tikz/retrieve bounding box/.style={insert path={
          
    let p1=(current bounding box.south west),
          
    p2=(current bounding box.north east)
          
    in pgfextra{%
          
    pgfmathsetmacro{xmin}{min(x1,xmin)}
          
    pgfmathsetmacro{xmax}{max(x2,xmax)}
          
    pgfmathsetmacro{ymin}{min(y1,ymin)}
          
    pgfmathsetmacro{ymax}{max(y2,ymax)}
          
    xdefxmin{xmin pt}
          
    xdefxmax{xmax pt}    
          
    xdefymin{ymin pt}
          
    xdefymax{ymax pt}  
          
    %typeout{xmin,xmax,ymin,ymax}  
          
    }}}}
          
pgfmathsetmacro{xmin}{0}
          
pgfmathsetmacro{xmax}{0}
          
pgfmathsetmacro{ymin}{0}
          
pgfmathsetmacro{ymax}{0}
          
begin{document}
          
foreach vari in {0,5,10,15,...,360}
          
{tdplotsetmaincoords{70}{vari} % the first argument cannot be larger than 90
          
begin{tikzpicture}[line join=round,tdplot_main_coords,>=stealth]
          
 ifdefinedfigbbrelax
          
    path figbb;
          
    fi
          
 coordinate (A) at (3,-3,-1.5);
          
 coordinate (B) at (3,3,-1.5);
          
 coordinate (C) at (-3,3,-1.5);
          
 coordinate (D) at (-3,-3,-1.5);
          
 coordinate (E) at (3,-3,1.5);
          
 coordinate (F) at (3,3,1.5);
          
 coordinate (G) at (-3,3,1.5);
          
 coordinate (H) at (-3,-3,1.5);    
          
 foreach X in {A,B,C,D}
          
 {path (X) node[below]{X};}
          
 draw[dashed] (3,0,-1.5) -- (0,0,-1.5) -- (0,3,-1.5)
          
 (0,0,-1.5) -- (0,0,1.5);
          
 draw[thick,->] (3,0,-1.5) -- (5,0,-1.5);
          
 draw[thick,->] (0,3,-1.5) -- (0,5,-1.5);
          
 pic{3d block={x length=6,y length=6,z length=3}};
          
 draw[thick,->] (0,0,1.5) -- (0,0,4);
          
 foreach X in {E,F,G,H}
          
 {path (X) node[above]{X};}
          
 path[retrieve bounding box];
          
end{tikzpicture}}
          
makeatletter               
          
edeffigbb{(xmin,ymin) rectangle (xmax,ymax)}
          
immediatewrite@mainaux{xdefstringfigbb{figbb}relax}
          
makeatother
          
end{document}


          enter image description here






          share|improve this answer


























          • Do you mean load tikz-3dplot instead of tikz package? Is there a possible significant reduction in code complexity? I haven't looked into tikz-3dplot package so I don't know the commands available in it.

            – Concept7
            8 hours ago






          • 2





            @Concept7 The tikz-3dplot package loads tikz and allows you to set the view angles and then does an orthographic projection. That is, it will replace ` x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},` by something entirely fixed by the view angles.

            – marmot
            8 hours ago






          • 1





            @Concept7 I added a tikz-3dplot version. True, one needs more preparations, but you can adjust the view more easily and can also more easily distinguish between foreground and background faces.

            – marmot
            7 hours ago














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          It is not the point (0,0,0) that changes but the bounding box. To prevent this from happening, you can set a bounding box yourself, e.g. by saying 



            path[use as bounding box] (-4,-1.45) rectangle (4,4);


          This yields



          documentclass[tikz, border=1cm]{standalone}
          

          
usepackage{tkz-euclide}
          
usetkzobj{all}
          

          
begin{document}
          

          
foreach vari in {0,5,10,15,...,360}
          
{
          

          
  begin{tikzpicture}
          
  path[use as bounding box] (-4,-1.45) rectangle (4,4);
          
  begin{scope}
          
    [
          
      scale=.5,
          
      x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},
          
      rotate around z=vari
          
    ]
          

          
        % coordinates
          
        coordinate (A) at (3,-3,0);
          
        coordinate (B) at (3,3,0);
          
        coordinate (C) at (-3,3,0);
          
        coordinate (D) at (-3,-3,0);
          
        coordinate (E) at (3,-3,3);
          
        coordinate (F) at (3,3,3);
          
        coordinate (G) at (-3,3,3);
          
        coordinate (H) at (-3,-3,3);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](C,D,H,G)
          

          
        % Axes 3d
          

          
        draw[->,>=stealth] (3,0,0) -- (5,0,0);
          
        draw[->,>=stealth] (0,3,0) -- (0,5,0);
          
        draw[dashed] (0,0,0) -- (0,0,4);
          
        draw[dashed] (0,0,0) -- (0,3,0);
          
        draw[dashed] (0,0,0) -- (3,0,0);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,C,D)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](B,C,G,F)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,D,H,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,F,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](G,H,E,F)
          

          
        tkzDrawSegments[ultra thick](A,B B,C C,G G,H H,E E,F E,A F,B F,G)
          
        tkzLabelPoints[above](E,F,G,H)
          
        tkzLabelPoints[below](A,B,C,D)
          

          
        draw[->,>=stealth] (0,0,4) -- (0,0,7); 
          
    end{scope} 
          
    end{tikzpicture}  
          
}
          
end{document}


          enter image description here



          However, I would recommend tikz-3dplot for that. It allows you to do orthographic projections, and makes it more easy to distinguish hidden from foreground faces. I also use [a routine to determine the minimal bounding box that fits all frames.



          documentclass[tikz,border=3.14mm]{standalone}
          
usepackage{tikz-3dplot}
          
newcounter{x}
          
newcounter{y}
          
newcounter{z}
          
tikzset{plane/.style n args={3}{insert path={%
          
#1 -- ++ #2 -- ++ #3 -- ++ ($-1*#2$) -- cycle}},
          
xy plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}},
          
xz plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
yz plane/.style={plane={#1}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
get projections/.style={insert path={%
          
let p1=(1,0,0),p2=(0,1,0)  in 
          
[/utils/exec={pgfmathtruncatemacro{xproj}{sign(x1)}xdefxproj{xproj}
          
pgfmathtruncatemacro{yproj}{sign(x2)}xdefyproj{yproj}
          
pgfmathtruncatemacro{zproj}{sign(cos(tdplotmaintheta))}xdefzproj{zproj}}]}},
          
pics/3d block/.style={code={
          
tikzset{3d block/.cd,#1}
          
path[get projections];
          
ifnumzproj=-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumzproj>-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
}},
          
3d block/.cd,
          
xy face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
xz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
yz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
every face/.style={draw,very thick},
          
x length/.initial=1,
          
y length/.initial=1,
          
z length/.initial=1,
          
/tikz/retrieve bounding box/.style={insert path={
          
    let p1=(current bounding box.south west),
          
    p2=(current bounding box.north east)
          
    in pgfextra{%
          
    pgfmathsetmacro{xmin}{min(x1,xmin)}
          
    pgfmathsetmacro{xmax}{max(x2,xmax)}
          
    pgfmathsetmacro{ymin}{min(y1,ymin)}
          
    pgfmathsetmacro{ymax}{max(y2,ymax)}
          
    xdefxmin{xmin pt}
          
    xdefxmax{xmax pt}    
          
    xdefymin{ymin pt}
          
    xdefymax{ymax pt}  
          
    %typeout{xmin,xmax,ymin,ymax}  
          
    }}}}
          
pgfmathsetmacro{xmin}{0}
          
pgfmathsetmacro{xmax}{0}
          
pgfmathsetmacro{ymin}{0}
          
pgfmathsetmacro{ymax}{0}
          
begin{document}
          
foreach vari in {0,5,10,15,...,360}
          
{tdplotsetmaincoords{70}{vari} % the first argument cannot be larger than 90
          
begin{tikzpicture}[line join=round,tdplot_main_coords,>=stealth]
          
 ifdefinedfigbbrelax
          
    path figbb;
          
    fi
          
 coordinate (A) at (3,-3,-1.5);
          
 coordinate (B) at (3,3,-1.5);
          
 coordinate (C) at (-3,3,-1.5);
          
 coordinate (D) at (-3,-3,-1.5);
          
 coordinate (E) at (3,-3,1.5);
          
 coordinate (F) at (3,3,1.5);
          
 coordinate (G) at (-3,3,1.5);
          
 coordinate (H) at (-3,-3,1.5);    
          
 foreach X in {A,B,C,D}
          
 {path (X) node[below]{X};}
          
 draw[dashed] (3,0,-1.5) -- (0,0,-1.5) -- (0,3,-1.5)
          
 (0,0,-1.5) -- (0,0,1.5);
          
 draw[thick,->] (3,0,-1.5) -- (5,0,-1.5);
          
 draw[thick,->] (0,3,-1.5) -- (0,5,-1.5);
          
 pic{3d block={x length=6,y length=6,z length=3}};
          
 draw[thick,->] (0,0,1.5) -- (0,0,4);
          
 foreach X in {E,F,G,H}
          
 {path (X) node[above]{X};}
          
 path[retrieve bounding box];
          
end{tikzpicture}}
          
makeatletter               
          
edeffigbb{(xmin,ymin) rectangle (xmax,ymax)}
          
immediatewrite@mainaux{xdefstringfigbb{figbb}relax}
          
makeatother
          
end{document}


          enter image description here






          share|improve this answer


























          • Do you mean load tikz-3dplot instead of tikz package? Is there a possible significant reduction in code complexity? I haven't looked into tikz-3dplot package so I don't know the commands available in it.

            – Concept7
            8 hours ago






          • 2





            @Concept7 The tikz-3dplot package loads tikz and allows you to set the view angles and then does an orthographic projection. That is, it will replace ` x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},` by something entirely fixed by the view angles.

            – marmot
            8 hours ago






          • 1





            @Concept7 I added a tikz-3dplot version. True, one needs more preparations, but you can adjust the view more easily and can also more easily distinguish between foreground and background faces.

            – marmot
            7 hours ago
















          3














          It is not the point (0,0,0) that changes but the bounding box. To prevent this from happening, you can set a bounding box yourself, e.g. by saying 



            path[use as bounding box] (-4,-1.45) rectangle (4,4);


          This yields



          documentclass[tikz, border=1cm]{standalone}
          

          
usepackage{tkz-euclide}
          
usetkzobj{all}
          

          
begin{document}
          

          
foreach vari in {0,5,10,15,...,360}
          
{
          

          
  begin{tikzpicture}
          
  path[use as bounding box] (-4,-1.45) rectangle (4,4);
          
  begin{scope}
          
    [
          
      scale=.5,
          
      x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},
          
      rotate around z=vari
          
    ]
          

          
        % coordinates
          
        coordinate (A) at (3,-3,0);
          
        coordinate (B) at (3,3,0);
          
        coordinate (C) at (-3,3,0);
          
        coordinate (D) at (-3,-3,0);
          
        coordinate (E) at (3,-3,3);
          
        coordinate (F) at (3,3,3);
          
        coordinate (G) at (-3,3,3);
          
        coordinate (H) at (-3,-3,3);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](C,D,H,G)
          

          
        % Axes 3d
          

          
        draw[->,>=stealth] (3,0,0) -- (5,0,0);
          
        draw[->,>=stealth] (0,3,0) -- (0,5,0);
          
        draw[dashed] (0,0,0) -- (0,0,4);
          
        draw[dashed] (0,0,0) -- (0,3,0);
          
        draw[dashed] (0,0,0) -- (3,0,0);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,C,D)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](B,C,G,F)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,D,H,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,F,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](G,H,E,F)
          

          
        tkzDrawSegments[ultra thick](A,B B,C C,G G,H H,E E,F E,A F,B F,G)
          
        tkzLabelPoints[above](E,F,G,H)
          
        tkzLabelPoints[below](A,B,C,D)
          

          
        draw[->,>=stealth] (0,0,4) -- (0,0,7); 
          
    end{scope} 
          
    end{tikzpicture}  
          
}
          
end{document}


          enter image description here



          However, I would recommend tikz-3dplot for that. It allows you to do orthographic projections, and makes it more easy to distinguish hidden from foreground faces. I also use [a routine to determine the minimal bounding box that fits all frames.



          documentclass[tikz,border=3.14mm]{standalone}
          
usepackage{tikz-3dplot}
          
newcounter{x}
          
newcounter{y}
          
newcounter{z}
          
tikzset{plane/.style n args={3}{insert path={%
          
#1 -- ++ #2 -- ++ #3 -- ++ ($-1*#2$) -- cycle}},
          
xy plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}},
          
xz plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
yz plane/.style={plane={#1}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
get projections/.style={insert path={%
          
let p1=(1,0,0),p2=(0,1,0)  in 
          
[/utils/exec={pgfmathtruncatemacro{xproj}{sign(x1)}xdefxproj{xproj}
          
pgfmathtruncatemacro{yproj}{sign(x2)}xdefyproj{yproj}
          
pgfmathtruncatemacro{zproj}{sign(cos(tdplotmaintheta))}xdefzproj{zproj}}]}},
          
pics/3d block/.style={code={
          
tikzset{3d block/.cd,#1}
          
path[get projections];
          
ifnumzproj=-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumzproj>-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
}},
          
3d block/.cd,
          
xy face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
xz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
yz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
every face/.style={draw,very thick},
          
x length/.initial=1,
          
y length/.initial=1,
          
z length/.initial=1,
          
/tikz/retrieve bounding box/.style={insert path={
          
    let p1=(current bounding box.south west),
          
    p2=(current bounding box.north east)
          
    in pgfextra{%
          
    pgfmathsetmacro{xmin}{min(x1,xmin)}
          
    pgfmathsetmacro{xmax}{max(x2,xmax)}
          
    pgfmathsetmacro{ymin}{min(y1,ymin)}
          
    pgfmathsetmacro{ymax}{max(y2,ymax)}
          
    xdefxmin{xmin pt}
          
    xdefxmax{xmax pt}    
          
    xdefymin{ymin pt}
          
    xdefymax{ymax pt}  
          
    %typeout{xmin,xmax,ymin,ymax}  
          
    }}}}
          
pgfmathsetmacro{xmin}{0}
          
pgfmathsetmacro{xmax}{0}
          
pgfmathsetmacro{ymin}{0}
          
pgfmathsetmacro{ymax}{0}
          
begin{document}
          
foreach vari in {0,5,10,15,...,360}
          
{tdplotsetmaincoords{70}{vari} % the first argument cannot be larger than 90
          
begin{tikzpicture}[line join=round,tdplot_main_coords,>=stealth]
          
 ifdefinedfigbbrelax
          
    path figbb;
          
    fi
          
 coordinate (A) at (3,-3,-1.5);
          
 coordinate (B) at (3,3,-1.5);
          
 coordinate (C) at (-3,3,-1.5);
          
 coordinate (D) at (-3,-3,-1.5);
          
 coordinate (E) at (3,-3,1.5);
          
 coordinate (F) at (3,3,1.5);
          
 coordinate (G) at (-3,3,1.5);
          
 coordinate (H) at (-3,-3,1.5);    
          
 foreach X in {A,B,C,D}
          
 {path (X) node[below]{X};}
          
 draw[dashed] (3,0,-1.5) -- (0,0,-1.5) -- (0,3,-1.5)
          
 (0,0,-1.5) -- (0,0,1.5);
          
 draw[thick,->] (3,0,-1.5) -- (5,0,-1.5);
          
 draw[thick,->] (0,3,-1.5) -- (0,5,-1.5);
          
 pic{3d block={x length=6,y length=6,z length=3}};
          
 draw[thick,->] (0,0,1.5) -- (0,0,4);
          
 foreach X in {E,F,G,H}
          
 {path (X) node[above]{X};}
          
 path[retrieve bounding box];
          
end{tikzpicture}}
          
makeatletter               
          
edeffigbb{(xmin,ymin) rectangle (xmax,ymax)}
          
immediatewrite@mainaux{xdefstringfigbb{figbb}relax}
          
makeatother
          
end{document}


          enter image description here






          share|improve this answer


























          • Do you mean load tikz-3dplot instead of tikz package? Is there a possible significant reduction in code complexity? I haven't looked into tikz-3dplot package so I don't know the commands available in it.

            – Concept7
            8 hours ago






          • 2





            @Concept7 The tikz-3dplot package loads tikz and allows you to set the view angles and then does an orthographic projection. That is, it will replace ` x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},` by something entirely fixed by the view angles.

            – marmot
            8 hours ago






          • 1





            @Concept7 I added a tikz-3dplot version. True, one needs more preparations, but you can adjust the view more easily and can also more easily distinguish between foreground and background faces.

            – marmot
            7 hours ago














          3












          3








          3







          It is not the point (0,0,0) that changes but the bounding box. To prevent this from happening, you can set a bounding box yourself, e.g. by saying 



            path[use as bounding box] (-4,-1.45) rectangle (4,4);


          This yields



          documentclass[tikz, border=1cm]{standalone}
          

          
usepackage{tkz-euclide}
          
usetkzobj{all}
          

          
begin{document}
          

          
foreach vari in {0,5,10,15,...,360}
          
{
          

          
  begin{tikzpicture}
          
  path[use as bounding box] (-4,-1.45) rectangle (4,4);
          
  begin{scope}
          
    [
          
      scale=.5,
          
      x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},
          
      rotate around z=vari
          
    ]
          

          
        % coordinates
          
        coordinate (A) at (3,-3,0);
          
        coordinate (B) at (3,3,0);
          
        coordinate (C) at (-3,3,0);
          
        coordinate (D) at (-3,-3,0);
          
        coordinate (E) at (3,-3,3);
          
        coordinate (F) at (3,3,3);
          
        coordinate (G) at (-3,3,3);
          
        coordinate (H) at (-3,-3,3);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](C,D,H,G)
          

          
        % Axes 3d
          

          
        draw[->,>=stealth] (3,0,0) -- (5,0,0);
          
        draw[->,>=stealth] (0,3,0) -- (0,5,0);
          
        draw[dashed] (0,0,0) -- (0,0,4);
          
        draw[dashed] (0,0,0) -- (0,3,0);
          
        draw[dashed] (0,0,0) -- (3,0,0);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,C,D)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](B,C,G,F)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,D,H,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,F,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](G,H,E,F)
          

          
        tkzDrawSegments[ultra thick](A,B B,C C,G G,H H,E E,F E,A F,B F,G)
          
        tkzLabelPoints[above](E,F,G,H)
          
        tkzLabelPoints[below](A,B,C,D)
          

          
        draw[->,>=stealth] (0,0,4) -- (0,0,7); 
          
    end{scope} 
          
    end{tikzpicture}  
          
}
          
end{document}


          enter image description here



          However, I would recommend tikz-3dplot for that. It allows you to do orthographic projections, and makes it more easy to distinguish hidden from foreground faces. I also use [a routine to determine the minimal bounding box that fits all frames.



          documentclass[tikz,border=3.14mm]{standalone}
          
usepackage{tikz-3dplot}
          
newcounter{x}
          
newcounter{y}
          
newcounter{z}
          
tikzset{plane/.style n args={3}{insert path={%
          
#1 -- ++ #2 -- ++ #3 -- ++ ($-1*#2$) -- cycle}},
          
xy plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}},
          
xz plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
yz plane/.style={plane={#1}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
get projections/.style={insert path={%
          
let p1=(1,0,0),p2=(0,1,0)  in 
          
[/utils/exec={pgfmathtruncatemacro{xproj}{sign(x1)}xdefxproj{xproj}
          
pgfmathtruncatemacro{yproj}{sign(x2)}xdefyproj{yproj}
          
pgfmathtruncatemacro{zproj}{sign(cos(tdplotmaintheta))}xdefzproj{zproj}}]}},
          
pics/3d block/.style={code={
          
tikzset{3d block/.cd,#1}
          
path[get projections];
          
ifnumzproj=-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumzproj>-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
}},
          
3d block/.cd,
          
xy face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
xz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
yz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
every face/.style={draw,very thick},
          
x length/.initial=1,
          
y length/.initial=1,
          
z length/.initial=1,
          
/tikz/retrieve bounding box/.style={insert path={
          
    let p1=(current bounding box.south west),
          
    p2=(current bounding box.north east)
          
    in pgfextra{%
          
    pgfmathsetmacro{xmin}{min(x1,xmin)}
          
    pgfmathsetmacro{xmax}{max(x2,xmax)}
          
    pgfmathsetmacro{ymin}{min(y1,ymin)}
          
    pgfmathsetmacro{ymax}{max(y2,ymax)}
          
    xdefxmin{xmin pt}
          
    xdefxmax{xmax pt}    
          
    xdefymin{ymin pt}
          
    xdefymax{ymax pt}  
          
    %typeout{xmin,xmax,ymin,ymax}  
          
    }}}}
          
pgfmathsetmacro{xmin}{0}
          
pgfmathsetmacro{xmax}{0}
          
pgfmathsetmacro{ymin}{0}
          
pgfmathsetmacro{ymax}{0}
          
begin{document}
          
foreach vari in {0,5,10,15,...,360}
          
{tdplotsetmaincoords{70}{vari} % the first argument cannot be larger than 90
          
begin{tikzpicture}[line join=round,tdplot_main_coords,>=stealth]
          
 ifdefinedfigbbrelax
          
    path figbb;
          
    fi
          
 coordinate (A) at (3,-3,-1.5);
          
 coordinate (B) at (3,3,-1.5);
          
 coordinate (C) at (-3,3,-1.5);
          
 coordinate (D) at (-3,-3,-1.5);
          
 coordinate (E) at (3,-3,1.5);
          
 coordinate (F) at (3,3,1.5);
          
 coordinate (G) at (-3,3,1.5);
          
 coordinate (H) at (-3,-3,1.5);    
          
 foreach X in {A,B,C,D}
          
 {path (X) node[below]{X};}
          
 draw[dashed] (3,0,-1.5) -- (0,0,-1.5) -- (0,3,-1.5)
          
 (0,0,-1.5) -- (0,0,1.5);
          
 draw[thick,->] (3,0,-1.5) -- (5,0,-1.5);
          
 draw[thick,->] (0,3,-1.5) -- (0,5,-1.5);
          
 pic{3d block={x length=6,y length=6,z length=3}};
          
 draw[thick,->] (0,0,1.5) -- (0,0,4);
          
 foreach X in {E,F,G,H}
          
 {path (X) node[above]{X};}
          
 path[retrieve bounding box];
          
end{tikzpicture}}
          
makeatletter               
          
edeffigbb{(xmin,ymin) rectangle (xmax,ymax)}
          
immediatewrite@mainaux{xdefstringfigbb{figbb}relax}
          
makeatother
          
end{document}


          enter image description here






          share|improve this answer















          It is not the point (0,0,0) that changes but the bounding box. To prevent this from happening, you can set a bounding box yourself, e.g. by saying 



            path[use as bounding box] (-4,-1.45) rectangle (4,4);


          This yields



          documentclass[tikz, border=1cm]{standalone}
          

          
usepackage{tkz-euclide}
          
usetkzobj{all}
          

          
begin{document}
          

          
foreach vari in {0,5,10,15,...,360}
          
{
          

          
  begin{tikzpicture}
          
  path[use as bounding box] (-4,-1.45) rectangle (4,4);
          
  begin{scope}
          
    [
          
      scale=.5,
          
      x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},
          
      rotate around z=vari
          
    ]
          

          
        % coordinates
          
        coordinate (A) at (3,-3,0);
          
        coordinate (B) at (3,3,0);
          
        coordinate (C) at (-3,3,0);
          
        coordinate (D) at (-3,-3,0);
          
        coordinate (E) at (3,-3,3);
          
        coordinate (F) at (3,3,3);
          
        coordinate (G) at (-3,3,3);
          
        coordinate (H) at (-3,-3,3);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](C,D,H,G)
          

          
        % Axes 3d
          

          
        draw[->,>=stealth] (3,0,0) -- (5,0,0);
          
        draw[->,>=stealth] (0,3,0) -- (0,5,0);
          
        draw[dashed] (0,0,0) -- (0,0,4);
          
        draw[dashed] (0,0,0) -- (0,3,0);
          
        draw[dashed] (0,0,0) -- (3,0,0);
          

          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,C,D)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](B,C,G,F)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,D,H,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](A,B,F,E)
          
        tkzDrawPolygon[fill=blue!20,opacity=.5,rounded corners=.1pt](G,H,E,F)
          

          
        tkzDrawSegments[ultra thick](A,B B,C C,G G,H H,E E,F E,A F,B F,G)
          
        tkzLabelPoints[above](E,F,G,H)
          
        tkzLabelPoints[below](A,B,C,D)
          

          
        draw[->,>=stealth] (0,0,4) -- (0,0,7); 
          
    end{scope} 
          
    end{tikzpicture}  
          
}
          
end{document}


          enter image description here



          However, I would recommend tikz-3dplot for that. It allows you to do orthographic projections, and makes it more easy to distinguish hidden from foreground faces. I also use [a routine to determine the minimal bounding box that fits all frames.



          documentclass[tikz,border=3.14mm]{standalone}
          
usepackage{tikz-3dplot}
          
newcounter{x}
          
newcounter{y}
          
newcounter{z}
          
tikzset{plane/.style n args={3}{insert path={%
          
#1 -- ++ #2 -- ++ #3 -- ++ ($-1*#2$) -- cycle}},
          
xy plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}},
          
xz plane/.style={plane={#1}{(pgfkeysvalueof{/tikz/3d block/x length},0,0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
yz plane/.style={plane={#1}{(0,pgfkeysvalueof{/tikz/3d block/y length},0)}{(0,0,pgfkeysvalueof{/tikz/3d block/z length})}},
          
get projections/.style={insert path={%
          
let p1=(1,0,0),p2=(0,1,0)  in 
          
[/utils/exec={pgfmathtruncatemacro{xproj}{sign(x1)}xdefxproj{xproj}
          
pgfmathtruncatemacro{yproj}{sign(x2)}xdefyproj{yproj}
          
pgfmathtruncatemacro{zproj}{sign(cos(tdplotmaintheta))}xdefzproj{zproj}}]}},
          
pics/3d block/.style={code={
          
tikzset{3d block/.cd,#1}
          
path[get projections];
          
ifnumzproj=-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumyproj=1
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/yz face,yz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumxproj=1
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xz face,xz plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
ifnumzproj>-1
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
else
          
 path[3d block/every face,3d block/xy face,xy plane={
          
 (-pgfkeysvalueof{/tikz/3d block/x length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/y length}/2,
          
  -pgfkeysvalueof{/tikz/3d block/z length}/2)}]; 
          
fi
          
}},
          
3d block/.cd,
          
xy face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
xz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
yz face/.style={fill=blue!20,opacity=.5,rounded corners=.1pt},
          
every face/.style={draw,very thick},
          
x length/.initial=1,
          
y length/.initial=1,
          
z length/.initial=1,
          
/tikz/retrieve bounding box/.style={insert path={
          
    let p1=(current bounding box.south west),
          
    p2=(current bounding box.north east)
          
    in pgfextra{%
          
    pgfmathsetmacro{xmin}{min(x1,xmin)}
          
    pgfmathsetmacro{xmax}{max(x2,xmax)}
          
    pgfmathsetmacro{ymin}{min(y1,ymin)}
          
    pgfmathsetmacro{ymax}{max(y2,ymax)}
          
    xdefxmin{xmin pt}
          
    xdefxmax{xmax pt}    
          
    xdefymin{ymin pt}
          
    xdefymax{ymax pt}  
          
    %typeout{xmin,xmax,ymin,ymax}  
          
    }}}}
          
pgfmathsetmacro{xmin}{0}
          
pgfmathsetmacro{xmax}{0}
          
pgfmathsetmacro{ymin}{0}
          
pgfmathsetmacro{ymax}{0}
          
begin{document}
          
foreach vari in {0,5,10,15,...,360}
          
{tdplotsetmaincoords{70}{vari} % the first argument cannot be larger than 90
          
begin{tikzpicture}[line join=round,tdplot_main_coords,>=stealth]
          
 ifdefinedfigbbrelax
          
    path figbb;
          
    fi
          
 coordinate (A) at (3,-3,-1.5);
          
 coordinate (B) at (3,3,-1.5);
          
 coordinate (C) at (-3,3,-1.5);
          
 coordinate (D) at (-3,-3,-1.5);
          
 coordinate (E) at (3,-3,1.5);
          
 coordinate (F) at (3,3,1.5);
          
 coordinate (G) at (-3,3,1.5);
          
 coordinate (H) at (-3,-3,1.5);    
          
 foreach X in {A,B,C,D}
          
 {path (X) node[below]{X};}
          
 draw[dashed] (3,0,-1.5) -- (0,0,-1.5) -- (0,3,-1.5)
          
 (0,0,-1.5) -- (0,0,1.5);
          
 draw[thick,->] (3,0,-1.5) -- (5,0,-1.5);
          
 draw[thick,->] (0,3,-1.5) -- (0,5,-1.5);
          
 pic{3d block={x length=6,y length=6,z length=3}};
          
 draw[thick,->] (0,0,1.5) -- (0,0,4);
          
 foreach X in {E,F,G,H}
          
 {path (X) node[above]{X};}
          
 path[retrieve bounding box];
          
end{tikzpicture}}
          
makeatletter               
          
edeffigbb{(xmin,ymin) rectangle (xmax,ymax)}
          
immediatewrite@mainaux{xdefstringfigbb{figbb}relax}
          
makeatother
          
end{document}


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 7 hours ago

























          answered 8 hours ago









          marmotmarmot

          143k6 gold badges187 silver badges345 bronze badges




          143k6 gold badges187 silver badges345 bronze badges













          • Do you mean load tikz-3dplot instead of tikz package? Is there a possible significant reduction in code complexity? I haven't looked into tikz-3dplot package so I don't know the commands available in it.

            – Concept7
            8 hours ago






          • 2





            @Concept7 The tikz-3dplot package loads tikz and allows you to set the view angles and then does an orthographic projection. That is, it will replace ` x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},` by something entirely fixed by the view angles.

            – marmot
            8 hours ago






          • 1





            @Concept7 I added a tikz-3dplot version. True, one needs more preparations, but you can adjust the view more easily and can also more easily distinguish between foreground and background faces.

            – marmot
            7 hours ago



















          • Do you mean load tikz-3dplot instead of tikz package? Is there a possible significant reduction in code complexity? I haven't looked into tikz-3dplot package so I don't know the commands available in it.

            – Concept7
            8 hours ago






          • 2





            @Concept7 The tikz-3dplot package loads tikz and allows you to set the view angles and then does an orthographic projection. That is, it will replace ` x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},` by something entirely fixed by the view angles.

            – marmot
            8 hours ago






          • 1





            @Concept7 I added a tikz-3dplot version. True, one needs more preparations, but you can adjust the view more easily and can also more easily distinguish between foreground and background faces.

            – marmot
            7 hours ago

















          Do you mean load tikz-3dplot instead of tikz package? Is there a possible significant reduction in code complexity? I haven't looked into tikz-3dplot package so I don't know the commands available in it.

          – Concept7
          8 hours ago





          Do you mean load tikz-3dplot instead of tikz package? Is there a possible significant reduction in code complexity? I haven't looked into tikz-3dplot package so I don't know the commands available in it.

          – Concept7
          8 hours ago




          2




          2





          @Concept7 The tikz-3dplot package loads tikz and allows you to set the view angles and then does an orthographic projection. That is, it will replace ` x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},` by something entirely fixed by the view angles.

          – marmot
          8 hours ago





          @Concept7 The tikz-3dplot package loads tikz and allows you to set the view angles and then does an orthographic projection. That is, it will replace ` x={(-1cm,-.25cm)},y={(1cm,-.25cm)},z={(0cm,1cm)},` by something entirely fixed by the view angles.

          – marmot
          8 hours ago




          1




          1





          @Concept7 I added a tikz-3dplot version. True, one needs more preparations, but you can adjust the view more easily and can also more easily distinguish between foreground and background faces.

          – marmot
          7 hours ago





          @Concept7 I added a tikz-3dplot version. True, one needs more preparations, but you can adjust the view more easily and can also more easily distinguish between foreground and background faces.

          – marmot
          7 hours ago


















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