1quadrilateral orientation -4 2\documentclass[tikz]{standalone} 3 4\usepackage{pgflibraryshapes} 5\usetikzlibrary{backgrounds} 6\usetikzlibrary{arrows} 7\begin{document} 8\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 9\path (2.,2.) node(1_0) [draw,shape=circle,color=gray] {1}; 10\path (2.,-2.) node(2_0) [draw,shape=circle,color=gray] {2}; 11\path (-2.,-2.) node(3_0) [draw,shape=circle,color=gray] {3}; 12\path (-2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 13\path 14(2.,0.) node(5_0) [draw,shape=circle,color=gray] {5} -- 15(0.,-2.) node(6_0) [draw,shape=circle,color=gray] {6} -- 16(-2.,0.) node(7_0) [draw,shape=circle,color=gray] {7} -- 17(0.,2.) node(8_0) [draw,shape=circle,color=gray] {8} -- 18(0,0); 19\draw[color=gray] (3_0) -- (6_0) -- (2_0) -- (5_0) -- (1_0) -- (8_0) -- (4_0) -- (7_0) -- (3_0); 20\path (0.,0.) node(0_0) [] {}; 21\end{tikzpicture} 22\end{document} 23quadrilateral orientation -3 24\documentclass[tikz]{standalone} 25 26\usepackage{pgflibraryshapes} 27\usetikzlibrary{backgrounds} 28\usetikzlibrary{arrows} 29\begin{document} 30\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 31\path (2.,-2.) node(1_0) [draw,shape=circle,color=gray] {1}; 32\path (-2.,-2.) node(2_0) [draw,shape=circle,color=gray] {2}; 33\path (-2.,2.) node(3_0) [draw,shape=circle,color=gray] {3}; 34\path (2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 35\path 36(0.,-2.) node(5_0) [draw,shape=circle,color=gray] {5} -- 37(-2.,0.) node(6_0) [draw,shape=circle,color=gray] {6} -- 38(0.,2.) node(7_0) [draw,shape=circle,color=gray] {7} -- 39(2.,0.) node(8_0) [draw,shape=circle,color=gray] {8} -- 40(0,0); 41\draw[color=gray] (2_0) -- (5_0) -- (1_0) -- (8_0) -- (4_0) -- (7_0) -- (3_0) -- (6_0) -- (2_0); 42\path (0.,0.) node(0_0) [] {}; 43\end{tikzpicture} 44\end{document} 45quadrilateral orientation -2 46\documentclass[tikz]{standalone} 47 48\usepackage{pgflibraryshapes} 49\usetikzlibrary{backgrounds} 50\usetikzlibrary{arrows} 51\begin{document} 52\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 53\path (-2.,-2.) node(1_0) [draw,shape=circle,color=gray] {1}; 54\path (-2.,2.) node(2_0) [draw,shape=circle,color=gray] {2}; 55\path (2.,2.) node(3_0) [draw,shape=circle,color=gray] {3}; 56\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 57\path 58(-2.,0.) node(5_0) [draw,shape=circle,color=gray] {5} -- 59(0.,2.) node(6_0) [draw,shape=circle,color=gray] {6} -- 60(2.,0.) node(7_0) [draw,shape=circle,color=gray] {7} -- 61(0.,-2.) node(8_0) [draw,shape=circle,color=gray] {8} -- 62(0,0); 63\draw[color=gray] (1_0) -- (8_0) -- (4_0) -- (7_0) -- (3_0) -- (6_0) -- (2_0) -- (5_0) -- (1_0); 64\path (0.,0.) node(0_0) [] {}; 65\end{tikzpicture} 66\end{document} 67quadrilateral orientation -1 68\documentclass[tikz]{standalone} 69 70\usepackage{pgflibraryshapes} 71\usetikzlibrary{backgrounds} 72\usetikzlibrary{arrows} 73\begin{document} 74\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 75\path (-2.,2.) node(1_0) [draw,shape=circle,color=gray] {1}; 76\path (2.,2.) node(2_0) [draw,shape=circle,color=gray] {2}; 77\path (2.,-2.) node(3_0) [draw,shape=circle,color=gray] {3}; 78\path (-2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 79\path 80(0.,2.) node(5_0) [draw,shape=circle,color=gray] {5} -- 81(2.,0.) node(6_0) [draw,shape=circle,color=gray] {6} -- 82(0.,-2.) node(7_0) [draw,shape=circle,color=gray] {7} -- 83(-2.,0.) node(8_0) [draw,shape=circle,color=gray] {8} -- 84(0,0); 85\draw[color=gray] (4_0) -- (7_0) -- (3_0) -- (6_0) -- (2_0) -- (5_0) -- (1_0) -- (8_0) -- (4_0); 86\path (0.,0.) node(0_0) [] {}; 87\end{tikzpicture} 88\end{document} 89quadrilateral orientation 0 90\documentclass[tikz]{standalone} 91 92\usepackage{pgflibraryshapes} 93\usetikzlibrary{backgrounds} 94\usetikzlibrary{arrows} 95\begin{document} 96\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 97\path (-2.,-2.) node(1_0) [draw,shape=circle,color=gray] {1}; 98\path (2.,-2.) node(2_0) [draw,shape=circle,color=gray] {2}; 99\path (2.,2.) node(3_0) [draw,shape=circle,color=gray] {3}; 100\path (-2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 101\path 102(0.,-2.) node(5_0) [draw,shape=circle,color=gray] {5} -- 103(2.,0.) node(6_0) [draw,shape=circle,color=gray] {6} -- 104(0.,2.) node(7_0) [draw,shape=circle,color=gray] {7} -- 105(-2.,0.) node(8_0) [draw,shape=circle,color=gray] {8} -- 106(0,0); 107\draw[color=gray] (1_0) -- (5_0) -- (2_0) -- (6_0) -- (3_0) -- (7_0) -- (4_0) -- (8_0) -- (1_0); 108\path (0.,0.) node(0_0) [] {}; 109\end{tikzpicture} 110\end{document} 111quadrilateral orientation 1 112\documentclass[tikz]{standalone} 113 114\usepackage{pgflibraryshapes} 115\usetikzlibrary{backgrounds} 116\usetikzlibrary{arrows} 117\begin{document} 118\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 119\path (-2.,2.) node(1_0) [draw,shape=circle,color=gray] {1}; 120\path (-2.,-2.) node(2_0) [draw,shape=circle,color=gray] {2}; 121\path (2.,-2.) node(3_0) [draw,shape=circle,color=gray] {3}; 122\path (2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 123\path 124(-2.,0.) node(5_0) [draw,shape=circle,color=gray] {5} -- 125(0.,-2.) node(6_0) [draw,shape=circle,color=gray] {6} -- 126(2.,0.) node(7_0) [draw,shape=circle,color=gray] {7} -- 127(0.,2.) node(8_0) [draw,shape=circle,color=gray] {8} -- 128(0,0); 129\draw[color=gray] (2_0) -- (6_0) -- (3_0) -- (7_0) -- (4_0) -- (8_0) -- (1_0) -- (5_0) -- (2_0); 130\path (0.,0.) node(0_0) [] {}; 131\end{tikzpicture} 132\end{document} 133quadrilateral orientation 2 134\documentclass[tikz]{standalone} 135 136\usepackage{pgflibraryshapes} 137\usetikzlibrary{backgrounds} 138\usetikzlibrary{arrows} 139\begin{document} 140\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 141\path (2.,2.) node(1_0) [draw,shape=circle,color=gray] {1}; 142\path (-2.,2.) node(2_0) [draw,shape=circle,color=gray] {2}; 143\path (-2.,-2.) node(3_0) [draw,shape=circle,color=gray] {3}; 144\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 145\path 146(0.,2.) node(5_0) [draw,shape=circle,color=gray] {5} -- 147(-2.,0.) node(6_0) [draw,shape=circle,color=gray] {6} -- 148(0.,-2.) node(7_0) [draw,shape=circle,color=gray] {7} -- 149(2.,0.) node(8_0) [draw,shape=circle,color=gray] {8} -- 150(0,0); 151\draw[color=gray] (3_0) -- (7_0) -- (4_0) -- (8_0) -- (1_0) -- (5_0) -- (2_0) -- (6_0) -- (3_0); 152\path (0.,0.) node(0_0) [] {}; 153\end{tikzpicture} 154\end{document} 155quadrilateral orientation 3 156\documentclass[tikz]{standalone} 157 158\usepackage{pgflibraryshapes} 159\usetikzlibrary{backgrounds} 160\usetikzlibrary{arrows} 161\begin{document} 162\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 163\path (2.,-2.) node(1_0) [draw,shape=circle,color=gray] {1}; 164\path (2.,2.) node(2_0) [draw,shape=circle,color=gray] {2}; 165\path (-2.,2.) node(3_0) [draw,shape=circle,color=gray] {3}; 166\path (-2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 167\path 168(2.,0.) node(5_0) [draw,shape=circle,color=gray] {5} -- 169(0.,2.) node(6_0) [draw,shape=circle,color=gray] {6} -- 170(-2.,0.) node(7_0) [draw,shape=circle,color=gray] {7} -- 171(0.,-2.) node(8_0) [draw,shape=circle,color=gray] {8} -- 172(0,0); 173\draw[color=gray] (4_0) -- (8_0) -- (1_0) -- (5_0) -- (2_0) -- (6_0) -- (3_0) -- (7_0) -- (4_0); 174\path (0.,0.) node(0_0) [] {}; 175\end{tikzpicture} 176\end{document} 177