documentclass[12pt]{article}
usepackage{amsmath}
usepackage{tikz}
usepackage{pgfplots}
usetikzlibrary{calc,3d,decorations.markings, backgrounds, positioning,intersections,shapes}
%usepackage{tikz-3dplot}

  begin{document}

  begin{figure}[ht]
    begin{center}

      %tdplotsetmaincoords{60}{145}
      begin{tikzpicture}[scale=2]

        coordinate (O) at (0,0,0);

          coordinate (A) at (1,-1,1);
          coordinate (B) at (-1,-1,1);
          coordinate (C) at (-1,1,1);
          coordinate (D) at (1,1,1);
          coordinate (E) at (1,1,-1);
          coordinate (F) at (-1,1,-1);
          coordinate (G) at (-1,-1,-1);
          coordinate (H) at (1,-1,-1);

          draw[fill=black] (A) circle (1pt) node[anchor=west] {$A$};
          draw[fill=black] (B) circle (1pt) node[anchor=east] {$B$};
          draw[fill=black] (C) circle (1pt) node[anchor=east] {$C$};
          draw[fill=black] (D) circle (1pt) node[anchor=west] {$D$};
          draw[fill=black] (E) circle (1pt) node[anchor=west] {$E$};
          draw[fill=black] (F) circle (1pt) node[anchor=east] {$F$};
          draw[fill=black] (G) circle (1pt) node[anchor=west] {$G$};
          draw[fill=black] (H) circle (1pt) node[anchor=east] {$H$};
          draw[fill=blue] (O) circle (1pt) node[anchor=east] {$0$};

          coordinate (X) at (3,0,0);
          coordinate (Y) at (0,3,0);
          coordinate (Z) at (0,0,3);


          draw[opacity=0.2] (A)--(B)--(C)--(D)--cycle;
          draw[opacity=0.2] (E)--(F)--(G)--(H)--cycle;
          draw[opacity=0.2] (A)--(H);
          draw[opacity=0.2] (B)--(G);
          draw[opacity=0.2] (D)--(E);
          draw[opacity=0.2] (C)--(F);



          draw[-latex] (O) -- (X) node[anchor=west] {; ; $X$};
          draw[-latex] (O) -- (Y) node[anchor=south] {$Y$};
          draw[-latex] (O) -- (Z) node[anchor=south] {$Z$};



      end{tikzpicture}
    end{center}
  end{figure}

  end{document}

documentclass[12pt]{standalone}
usepackage{tikz}
begin{document}
  begin{tikzpicture}[scale=2,z={(-.5,-.28)}]

    draw[latex-] (2.1,0,0) coordinate (X) node[anchor=west] {$X$} -- ([scale=-1]X);
    draw[latex-] (0,2.1,0) coordinate (Y) node[anchor=south] {$Y$} -- ([scale=-1]Y);
    draw[latex-] (0,0,3.5) coordinate (Z) node[anchor=east] {$Z$} -- ([scale=-1]Z);

    draw[fill=blue]  coordinate (O) circle (1pt) node[anchor=south  east] {$O$};

    draw[opacity=0.2]
      (1,-1,1)   coordinate (A) --
      (-1,-1,1)  coordinate (B) --
      (-1,1,1)   coordinate (C) --
      (1,1,1)    coordinate (D) -- cycle
      (1,1,-1)   coordinate (E) --
      (-1,1,-1)  coordinate (F) --
      (-1,-1,-1) coordinate (G) --
      (1,-1,-1)  coordinate (H) -- cycle
      (A)--(H) (B)--(G) (D)--(E) (C)--(F);

    foreach l/a in {A/north west,B/north east,C/south east,D/south east,E/south west,F/south east,G/north west,H/north west}
      draw[fill=black] (l) circle (1pt) node[anchor=a] {$l$};
  end{tikzpicture}
end{document}