File:Cube S-realization map.svg

\documentclass{standalone}

\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing,calc}
\newcommand\ax{-2}
\newcommand\bx{-1}
\newcommand\cx{3}

\newcommand\ay{3}
\newcommand\by{3}
\newcommand\cy{1}

\NewDocumentCommand\blend{md()}{
  \draw[l#2]($#1$)--($#1+(#2)$)
}
\begin{document}
\begin{tikzpicture}
  [ every node/.style={outer sep=0pt,thick,minimum size=.1,circle,draw=black,fill=white,solid}
  , cross/.style=
      { draw=none
      , fill=none
      , path picture={
        \draw[black](path picture bounding box.south west)--(path picture bounding box.north east);
        \draw[black](path picture bounding box.south east)--(path picture bounding box.north west);
      }
    }
  , lA/.style={thick, blue}
  , lB/.style={thick, green, dashed}
  , lC/.style={thick, red, double}
  , lD/.style={thick, yellow, decorate, decoration=snake}
  , lE/.style={thick, magenta, dash dot}
  ]
  \coordinate (Z) at (0,0);
  \coordinate (A) at (\ax,\ay);
  \coordinate (B) at (\bx,\by);
  \coordinate (C) at (\cx,\cy);
  \foreach \dim in {0,...,7}{
    \draw[semithick, dashed](\ax+\bx-1,\dim)node[draw=none,fill=none,left]{\dim}--(\cx+1,\dim);
  }
  \node[left,fill=none,draw=none]()at(\ax+\bx-1,8){Dim:};
  \foreach \ka/\kb/\xx in {B/C/A,A/C/B,A/B/C}{
    \foreach \aOn in {Z,\ka}{
      \foreach \bOn in {Z,\kb}{
        \blend{(\aOn)+(\bOn)}(\xx);
      }
    }
  }
  \foreach \aOn in {Z,A}{
    \foreach \bOn in {Z,B}{
      \foreach \cOn in {Z,C}{
        \draw($(\aOn)+(\bOn)+(\cOn)$)node{};
      }
    }
  }
  \foreach \unfaithfulNode in {Z,B,C} {
    \draw(\unfaithfulNode)node[cross]{};
  }
\end{tikzpicture}
\end{document}