How to make a cube properly rendered with dashed lines for its hidden lines?

Question

First emergency attempt is given as follows. I want the hidden lines get automatically rendered with dashed lines whenever I change the camera in animation. How to do so?

documentclass[border=dimexpr355pt/113relax]{standalone} 
usepackage{filecontents}
usepackage{asymptote}
begin{filecontents*}{testfile.asy}
import three;
settings.render=0;
currentprojection=perspective(3,-4,4,center=true);
    draw((0,0,0)--(0,2,0));
    draw((0,0,0)--(2,0,0));
    draw((2,2,0)--(0,2,0));
    draw((2,2,0)--(2,0,0)); 
    draw((0,0,0)--(0,0,2));
    draw((0,2,0)--(0,2,2));
    draw((2,0,0)--(2,0,2));
    draw((2,2,0)--(2,2,2));
    draw((0,0,2)--(0,2,2));
    draw((0,0,2)--(2,0,2));
    draw((2,2,2)--(0,2,2));
    draw((2,2,2)--(2,0,2));
end{filecontents*}
begin{document}
    asyinclude[height=25mm,inline=true,attach=false,viewportwidth=4cm,viewportheight=25mm]{testfile.asy}
end{document}

minhthien_2016 · Answer

This is Tikz version.
  documentclass[tikz,border=3mm]{standalone}
usepackage{tikz-3dplot}
usetikzlibrary{3dtools}
begin{document}
    pgfdeclarelayer{background} 
    pgfdeclarelayer{foreground}
    pgfsetlayers{background,main,foreground} 
    foreach Angle in {5,15,...,355}
    {begin{tikzpicture}[same bounding box=A,line cap=round,line join=round,visible/.style={draw,solid}, hidden/.style={draw, dashed}, 3d/install view={phi=Angle,psi=0,theta=70},declare function={a=2;} ]
            path
             (a,-a,-a) coordinate (A)
            (a,a,-a) coordinate (B)
            (-a,a,-a) coordinate (C)
            (-a,-a,-a) coordinate (D)
            (a,-a,a) coordinate (E)
            (a,a,a) coordinate (F)
            (-a,a,a) coordinate (G)
            (-a,-a,a)  coordinate (H)
            [3d coordinate={(O)=0.5*(A)+0.5*(G)}];
            foreach p in {A,B,C,D,E,F,G,H,O}
            {draw[fill=black] (p) circle (1.2 pt);}
            foreach p/g in {A/-90,B/-90,C/-90,D/90,E/90,F/90,G/90,H/90,O/-90}
            {path (p)+(g:3mm) node{$p$};}
            tikzset{3d/polyhedron/.cd,O={(O)},
                fore layer=foreground,back layer=background,
                back/.style={3d/polyhedron/complete dashes,fill=none},
                fore/.style={3d/visible,fill=none},%3d/polyhedron/edges have complete dashes=false
                draw face with corners={{(A)},{(B)},{(C)},{(D)}},
                draw face with corners={{(A)},{(B)},{(F)},{(E)}},
            draw face with corners={{(E)},{(F)},{(G)},{(H)}},
                draw face with corners={{(C)},{(D)},{(H)},{(G)}},
                draw face with corners={{(A)},{(E)},{(H)},{(D)}},
                draw face with corners={{(B)},{(C)},{(G)},{(F)}}}
        end{tikzpicture}}
end{document}

How to make a cube properly rendered with dashed lines for its hidden lines?

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