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};
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\path (0.,0.) node(9_0) [draw,shape=circle,color=gray] {9};
\path
(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} --
(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} --
(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} --
(1.,-2.) node(13_0) [draw,shape=circle,color=gray] {13} --
(-1.,-2.) node(14_0) [draw,shape=circle,color=gray] {14} --
(-2.,-1.) node(15_0) [draw,shape=circle,color=gray] {15} --
(-2.,1.) node(16_0) [draw,shape=circle,color=gray] {16} --
(-1.,1.) node(17_0) [draw,shape=circle,color=gray] {17} --
(1.,-1.) node(18_0) [draw,shape=circle,color=gray] {18} --
(0,0);
\draw[color=gray] (5_0) -- (14_0) -- (7_0) -- (10_0) -- (3_0) -- (12_0) -- (8_0) -- (15_0) -- (5_0);
\draw[color=gray] (7_0) -- (13_0) -- (4_0) -- (18_0) -- (9_0) -- (11_0) -- (3_0) -- (10_0) -- (7_0);
\draw[color=gray] (8_0) -- (12_0) -- (3_0) -- (11_0) -- (9_0) -- (17_0) -- (6_0) -- (16_0) -- (8_0);
\path (-1.16667,-1.16667) node(0_0) [] {};
\path (0.333333,-1.16667) node(1_0) [] {};
\path (-1.16667,0.333333) 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 (-2.,0.) node(7_0) [draw,shape=circle,color=gray] {7};
\path (0.,0.) node(8_0) [draw,shape=circle,color=gray] {8};
\path (0.,-2.) node(9_0) [draw,shape=circle,color=gray] {9};
\path
(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} --
(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} --
(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} --
(-2.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} --
(-2.,1.) node(14_0) [draw,shape=circle,color=gray] {14} --
(-1.,1.) node(15_0) [draw,shape=circle,color=gray] {15} --
(1.,-1.) node(16_0) [draw,shape=circle,color=gray] {16} --
(1.,-2.) node(17_0) [draw,shape=circle,color=gray] {17} --
(-1.,-2.) node(18_0) [draw,shape=circle,color=gray] {18} --
(0,0);
\draw[color=gray] (4_0) -- (18_0) -- (9_0) -- (10_0) -- (3_0) -- (12_0) -- (7_0) -- (13_0) -- (4_0);
\draw[color=gray] (9_0) -- (17_0) -- (6_0) -- (16_0) -- (8_0) -- (11_0) -- (3_0) -- (10_0) -- (9_0);
\draw[color=gray] (7_0) -- (12_0) -- (3_0) -- (11_0) -- (8_0) -- (15_0) -- (5_0) -- (14_0) -- (7_0);
\path (-1.16667,-1.16667) node(0_0) [] {};
\path (0.333333,-1.16667) node(1_0) [] {};
\path (-1.16667,0.333333) 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 (0.,0.) node(7_0) [draw,shape=circle,color=gray] {7};
\path (0.,-2.) node(8_0) [draw,shape=circle,color=gray] {8};
\path (-2.,0.) node(9_0) [draw,shape=circle,color=gray] {9};
\path
(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} --
(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} --
(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} --
(-1.,1.) node(13_0) [draw,shape=circle,color=gray] {13} --
(1.,-1.) node(14_0) [draw,shape=circle,color=gray] {14} --
(1.,-2.) node(15_0) [draw,shape=circle,color=gray] {15} --
(-1.,-2.) node(16_0) [draw,shape=circle,color=gray] {16} --
(-2.,-1.) node(17_0) [draw,shape=circle,color=gray] {17} --
(-2.,1.) node(18_0) [draw,shape=circle,color=gray] {18} --
(0,0);
\draw[color=gray] (6_0) -- (16_0) -- (8_0) -- (10_0) -- (3_0) -- (12_0) -- (9_0) -- (17_0) -- (6_0);
\draw[color=gray] (8_0) -- (15_0) -- (5_0) -- (14_0) -- (7_0) -- (11_0) -- (3_0) -- (10_0) -- (8_0);
\draw[color=gray] (9_0) -- (12_0) -- (3_0) -- (11_0) -- (7_0) -- (13_0) -- (4_0) -- (18_0) -- (9_0);
\path (-1.16667,-1.16667) node(0_0) [] {};
\path (0.333333,-1.16667) node(1_0) [] {};
\path (-1.16667,0.333333) 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 (0.,-2.) node(7_0) [draw,shape=circle,color=gray] {7};
\path (0.,0.) node(8_0) [draw,shape=circle,color=gray] {8};
\path (-2.,0.) node(9_0) [draw,shape=circle,color=gray] {9};
\path
(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} --
(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} --
(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} --
(-1.,-2.) node(13_0) [draw,shape=circle,color=gray] {13} --
(1.,-2.) node(14_0) [draw,shape=circle,color=gray] {14} --
(1.,-1.) node(15_0) [draw,shape=circle,color=gray] {15} --
(-1.,1.) node(16_0) [draw,shape=circle,color=gray] {16} --
(-2.,1.) node(17_0) [draw,shape=circle,color=gray] {17} --
(-2.,-1.) node(18_0) [draw,shape=circle,color=gray] {18} --
(0,0);
\draw[color=gray] (4_0) -- (13_0) -- (7_0) -- (10_0) -- (3_0) -- (12_0) -- (9_0) -- (18_0) -- (4_0);
\draw[color=gray] (7_0) -- (14_0) -- (5_0) -- (15_0) -- (8_0) -- (11_0) -- (3_0) -- (10_0) -- (7_0);
\draw[color=gray] (9_0) -- (12_0) -- (3_0) -- (11_0) -- (8_0) -- (16_0) -- (6_0) -- (17_0) -- (9_0);
\path (-1.16667,-1.16667) node(0_0) [] {};
\path (0.333333,-1.16667) node(1_0) [] {};
\path (-1.16667,0.333333) 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 (-2.,0.) node(7_0) [draw,shape=circle,color=gray] {7};
\path (0.,-2.) node(8_0) [draw,shape=circle,color=gray] {8};
\path (0.,0.) node(9_0) [draw,shape=circle,color=gray] {9};
\path
(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} --
(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} --
(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} --
(-2.,1.) node(13_0) [draw,shape=circle,color=gray] {13} --
(-2.,-1.) node(14_0) [draw,shape=circle,color=gray] {14} --
(-1.,-2.) node(15_0) [draw,shape=circle,color=gray] {15} --
(1.,-2.) node(16_0) [draw,shape=circle,color=gray] {16} --
(1.,-1.) node(17_0) [draw,shape=circle,color=gray] {17} --
(-1.,1.) node(18_0) [draw,shape=circle,color=gray] {18} --
(0,0);
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\draw[color=gray] (8_0) -- (16_0) -- (6_0) -- (17_0) -- (9_0) -- (11_0) -- (3_0) -- (10_0) -- (8_0);
\draw[color=gray] (7_0) -- (12_0) -- (3_0) -- (11_0) -- (9_0) -- (18_0) -- (4_0) -- (13_0) -- (7_0);
\path (-1.16667,-1.16667) node(0_0) [] {};
\path (0.333333,-1.16667) node(1_0) [] {};
\path (-1.16667,0.333333) 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 (0.,0.) node(7_0) [draw,shape=circle,color=gray] {7};
\path (-2.,0.) node(8_0) [draw,shape=circle,color=gray] {8};
\path (0.,-2.) node(9_0) [draw,shape=circle,color=gray] {9};
\path
(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} --
(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} --
(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} --
(1.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} --
(-1.,1.) node(14_0) [draw,shape=circle,color=gray] {14} --
(-2.,1.) node(15_0) [draw,shape=circle,color=gray] {15} --
(-2.,-1.) node(16_0) [draw,shape=circle,color=gray] {16} --
(-1.,-2.) node(17_0) [draw,shape=circle,color=gray] {17} --
(1.,-2.) node(18_0) [draw,shape=circle,color=gray] {18} --
(0,0);
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\path (-1.16667,-1.16667) node(0_0) [] {};
\path (0.333333,-1.16667) node(1_0) [] {};
\path (-1.16667,0.333333) node(2_0) [] {};
\end{tikzpicture}
\end{document}