triangle orientation -3
\documentclass[tikz]{standalone}

\usepackage{pgflibraryshapes}
\usetikzlibrary{backgrounds}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont]
\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3};
\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4};
\path (-2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5};
\path (-2.,2.) node(6_0) [draw,shape=circle,color=gray] {6};
\path
(-1.33333,-1.33333) node(7_0) [draw,shape=circle,color=gray] {7} --
(0.666667,-1.33333) node(8_0) [draw,shape=circle,color=gray] {8} --
(-1.33333,0.666667) node(9_0) [draw,shape=circle,color=gray] {9} --
(0.,-2.) node(10_0) [draw,shape=circle,color=gray] {10} --
(-2.,0.) node(11_0) [draw,shape=circle,color=gray] {11} --
(0.,0.) node(12_0) [draw,shape=circle,color=gray] {12} --
(0,0);
\draw[color=gray] (5_0) -- (10_0) -- (4_0) -- (8_0) -- (3_0) -- (7_0) -- (5_0);
\draw[color=gray] (4_0) -- (12_0) -- (6_0) -- (9_0) -- (3_0) -- (8_0) -- (4_0);
\draw[color=gray] (6_0) -- (11_0) -- (5_0) -- (7_0) -- (3_0) -- (9_0) -- (6_0);
\path (-0.222222,-1.55556) node(0_0) [] {};
\path (-0.222222,-0.222222) node(1_0) [] {};
\path (-1.55556,-0.222222) node(2_0) [] {};
\end{tikzpicture}
\end{document}
triangle orientation -2
\documentclass[tikz]{standalone}

\usepackage{pgflibraryshapes}
\usetikzlibrary{backgrounds}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont]
\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3};
\path (-2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4};
\path (-2.,2.) node(5_0) [draw,shape=circle,color=gray] {5};
\path (2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6};
\path
(-1.33333,-1.33333) node(7_0) [draw,shape=circle,color=gray] {7} --
(0.666667,-1.33333) node(8_0) [draw,shape=circle,color=gray] {8} --
(-1.33333,0.666667) node(9_0) [draw,shape=circle,color=gray] {9} --
(-2.,0.) node(10_0) [draw,shape=circle,color=gray] {10} --
(0.,0.) node(11_0) [draw,shape=circle,color=gray] {11} --
(0.,-2.) node(12_0) [draw,shape=circle,color=gray] {12} --
(0,0);
\draw[color=gray] (4_0) -- (12_0) -- (6_0) -- (8_0) -- (3_0) -- (7_0) -- (4_0);
\draw[color=gray] (6_0) -- (11_0) -- (5_0) -- (9_0) -- (3_0) -- (8_0) -- (6_0);
\draw[color=gray] (5_0) -- (10_0) -- (4_0) -- (7_0) -- (3_0) -- (9_0) -- (5_0);
\path (-0.222222,-1.55556) node(0_0) [] {};
\path (-0.222222,-0.222222) node(1_0) [] {};
\path (-1.55556,-0.222222) node(2_0) [] {};
\end{tikzpicture}
\end{document}
triangle orientation -1
\documentclass[tikz]{standalone}

\usepackage{pgflibraryshapes}
\usetikzlibrary{backgrounds}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont]
\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3};
\path (-2.,2.) node(4_0) [draw,shape=circle,color=gray] {4};
\path (2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5};
\path (-2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6};
\path
(-1.33333,-1.33333) node(7_0) [draw,shape=circle,color=gray] {7} --
(0.666667,-1.33333) node(8_0) [draw,shape=circle,color=gray] {8} --
(-1.33333,0.666667) node(9_0) [draw,shape=circle,color=gray] {9} --
(0.,0.) node(10_0) [draw,shape=circle,color=gray] {10} --
(0.,-2.) node(11_0) [draw,shape=circle,color=gray] {11} --
(-2.,0.) node(12_0) [draw,shape=circle,color=gray] {12} --
(0,0);
\draw[color=gray] (6_0) -- (11_0) -- (5_0) -- (8_0) -- (3_0) -- (7_0) -- (6_0);
\draw[color=gray] (5_0) -- (10_0) -- (4_0) -- (9_0) -- (3_0) -- (8_0) -- (5_0);
\draw[color=gray] (4_0) -- (12_0) -- (6_0) -- (7_0) -- (3_0) -- (9_0) -- (4_0);
\path (-0.222222,-1.55556) node(0_0) [] {};
\path (-0.222222,-0.222222) node(1_0) [] {};
\path (-1.55556,-0.222222) node(2_0) [] {};
\end{tikzpicture}
\end{document}
triangle orientation 0
\documentclass[tikz]{standalone}

\usepackage{pgflibraryshapes}
\usetikzlibrary{backgrounds}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont]
\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3};
\path (-2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4};
\path (2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5};
\path (-2.,2.) node(6_0) [draw,shape=circle,color=gray] {6};
\path
(-1.33333,-1.33333) node(7_0) [draw,shape=circle,color=gray] {7} --
(0.666667,-1.33333) node(8_0) [draw,shape=circle,color=gray] {8} --
(-1.33333,0.666667) node(9_0) [draw,shape=circle,color=gray] {9} --
(0.,-2.) node(10_0) [draw,shape=circle,color=gray] {10} --
(0.,0.) node(11_0) [draw,shape=circle,color=gray] {11} --
(-2.,0.) node(12_0) [draw,shape=circle,color=gray] {12} --
(0,0);
\draw[color=gray] (4_0) -- (10_0) -- (5_0) -- (8_0) -- (3_0) -- (7_0) -- (4_0);
\draw[color=gray] (5_0) -- (11_0) -- (6_0) -- (9_0) -- (3_0) -- (8_0) -- (5_0);
\draw[color=gray] (6_0) -- (12_0) -- (4_0) -- (7_0) -- (3_0) -- (9_0) -- (6_0);
\path (-0.222222,-1.55556) node(0_0) [] {};
\path (-0.222222,-0.222222) node(1_0) [] {};
\path (-1.55556,-0.222222) node(2_0) [] {};
\end{tikzpicture}
\end{document}
triangle orientation 1
\documentclass[tikz]{standalone}

\usepackage{pgflibraryshapes}
\usetikzlibrary{backgrounds}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont]
\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3};
\path (-2.,2.) node(4_0) [draw,shape=circle,color=gray] {4};
\path (-2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5};
\path (2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6};
\path
(-1.33333,-1.33333) node(7_0) [draw,shape=circle,color=gray] {7} --
(0.666667,-1.33333) node(8_0) [draw,shape=circle,color=gray] {8} --
(-1.33333,0.666667) node(9_0) [draw,shape=circle,color=gray] {9} --
(-2.,0.) node(10_0) [draw,shape=circle,color=gray] {10} --
(0.,-2.) node(11_0) [draw,shape=circle,color=gray] {11} --
(0.,0.) node(12_0) [draw,shape=circle,color=gray] {12} --
(0,0);
\draw[color=gray] (5_0) -- (11_0) -- (6_0) -- (8_0) -- (3_0) -- (7_0) -- (5_0);
\draw[color=gray] (6_0) -- (12_0) -- (4_0) -- (9_0) -- (3_0) -- (8_0) -- (6_0);
\draw[color=gray] (4_0) -- (10_0) -- (5_0) -- (7_0) -- (3_0) -- (9_0) -- (4_0);
\path (-0.222222,-1.55556) node(0_0) [] {};
\path (-0.222222,-0.222222) node(1_0) [] {};
\path (-1.55556,-0.222222) node(2_0) [] {};
\end{tikzpicture}
\end{document}
triangle orientation 2
\documentclass[tikz]{standalone}

\usepackage{pgflibraryshapes}
\usetikzlibrary{backgrounds}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont]
\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3};
\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4};
\path (-2.,2.) node(5_0) [draw,shape=circle,color=gray] {5};
\path (-2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6};
\path
(-1.33333,-1.33333) node(7_0) [draw,shape=circle,color=gray] {7} --
(0.666667,-1.33333) node(8_0) [draw,shape=circle,color=gray] {8} --
(-1.33333,0.666667) node(9_0) [draw,shape=circle,color=gray] {9} --
(0.,0.) node(10_0) [draw,shape=circle,color=gray] {10} --
(-2.,0.) node(11_0) [draw,shape=circle,color=gray] {11} --
(0.,-2.) node(12_0) [draw,shape=circle,color=gray] {12} --
(0,0);
\draw[color=gray] (6_0) -- (12_0) -- (4_0) -- (8_0) -- (3_0) -- (7_0) -- (6_0);
\draw[color=gray] (4_0) -- (10_0) -- (5_0) -- (9_0) -- (3_0) -- (8_0) -- (4_0);
\draw[color=gray] (5_0) -- (11_0) -- (6_0) -- (7_0) -- (3_0) -- (9_0) -- (5_0);
\path (-0.222222,-1.55556) node(0_0) [] {};
\path (-0.222222,-0.222222) node(1_0) [] {};
\path (-1.55556,-0.222222) node(2_0) [] {};
\end{tikzpicture}
\end{document}