File:Blended octahedron S-realization map.svg

\documentclass{standalone}

\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing,calc}
\newcommand\ax{-3.5}
\newcommand\bx{-2}
\newcommand\cx{5.5}
\newcommand\dx{1.5}
\newcommand\ex{-0.5}

\newcommand\ay{1}
\newcommand\by{2}
\newcommand\cy{2}
\newcommand\dy{3}
\newcommand\ey{3}

\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);
  \coordinate (D) at (\dx,\dy);
  \coordinate (E) at (\ex,\ey);
  \foreach \dim in {0,...,11}{
    \draw[semithick, dashed](\ax+\bx+\ex-1,\dim)node[draw=none,fill=none,left]{\dim}--(\cx+\dx+1,\dim);
  }
  \node[left,fill=none,draw=none]()at(\ax+\bx+\ex-1,12){Dim:};
  \foreach \ka/\kb/\kc/\kd/\xx in {B/C/D/E/A,A/C/D/E/B,A/B/D/E/C,A/B/C/E/D,A/B/C/D/E}{
    \foreach \aOn in {Z,\ka}{
      \foreach \bOn in {Z,\kb}{
        \foreach \cOn in {Z,\kc}{
          \foreach \dOn in {Z,\kd}{
            \blend{(\aOn)+(\bOn)+(\cOn)+(\dOn)}(\xx);
          }
        }
      }
    }
  }
  \foreach \aOn in {Z,A}{
    \foreach \bOn in {Z,B}{
      \foreach \cOn in {Z,C}{
        \foreach \dOn in {Z,D}{
          \foreach \eOn in {Z,E}{
            \draw($(\aOn)+(\bOn)+(\cOn)+(\dOn)+(\eOn)$)node{};
          }
        }
      }
    }
  }
  \foreach \unfaithfulNode in {Z,A,B,C,D,E} {
    \draw(\unfaithfulNode)node[cross]{};
  }
  \draw($(A)+(B)$)node[cross]{};
  \draw($(A)+(C)$)node[cross]{};
  \draw($(B)+(C)$)node[cross]{};
\end{tikzpicture}
\end{document}