\documentclass{standalone}

\usepackage{tikz}
\usetikzlibrary{decorations.pathmorphing,calc}
\newcommand\ax{-5}
\newcommand\bx{-4}
\newcommand\cx{0}
\newcommand\dx{3}
\newcommand\ex{6}

\newcommand\ay{1}
\newcommand\by{3}
\newcommand\cy{3}
\newcommand\dy{4}
\newcommand\ey{4}

\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,...,15}{
    \draw[semithick, dashed](\ax+\bx-1,\dim)node[draw=none,fill=none,left]{\dim}--(\cx+\dx+\ex+1,\dim);
  }
  \node[left,fill=none,draw=none]()at(\ax+\bx-1,16){Dim:};
  \foreach \bOn in {Z,B}{
    \foreach \cOn in {Z,C}{
      \foreach \dOn in {Z,D}{
        \foreach \eOn in {Z,E}{
          \blend{(\bOn)+(\cOn)+(\dOn)+(\eOn)}(A);
        }
      }
    }
  }
  \foreach \aOn in {Z,A}{
    \foreach \cOn in {Z,C}{
      \foreach \dOn in {Z,D}{
        \foreach \eOn in {Z,E}{
          \blend{(\aOn)+(\cOn)+(\dOn)+(\eOn)}(B);
        }
      }
    }
    \foreach \bOn in {Z,B}{
      \foreach \dOn in {Z,D}{
        \foreach \eOn in {Z,E}{
          \blend{(\aOn)+(\bOn)+(\dOn)+(\eOn)}(C){};
        }
      }
      \foreach \cOn in {Z,C} {
        \foreach \eOn in {Z,E}{
          \blend{(\aOn)+(\bOn)+(\cOn)+(\eOn)}(D){};
        }
        \foreach \dOn in {Z,D}{
          \blend{(\aOn)+(\bOn)+(\cOn)+(\dOn)}(E)node{};
          \draw($(\aOn)+(\bOn)+(\cOn)+(\dOn)$)node{};
        }
      }
    }
  }
  \foreach \aOn in {Z,A} {
    \foreach \bOn in {Z,B}{
      \foreach \cOn in {Z,C}{
        \draw($(\aOn)+(\bOn)+(\cOn)$)node[cross]{};
      }
    }
  }
\end{tikzpicture}
\end{document}