1*02918637SMatthew G. Knepleyquadrilateral orientation -4 2*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 3*02918637SMatthew G. Knepley 4*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 5*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 6*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 7*02918637SMatthew G. Knepley\begin{document} 8*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 9*02918637SMatthew G. Knepley\path (2.,2.) node(1_0) [draw,shape=circle,color=gray] {1}; 10*02918637SMatthew G. Knepley\path (2.,-2.) node(2_0) [draw,shape=circle,color=gray] {2}; 11*02918637SMatthew G. Knepley\path (-2.,-2.) node(3_0) [draw,shape=circle,color=gray] {3}; 12*02918637SMatthew G. Knepley\path (-2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 13*02918637SMatthew G. Knepley\path 14*02918637SMatthew G. Knepley(2.,0.) node(5_0) [draw,shape=circle,color=gray] {5} -- 15*02918637SMatthew G. Knepley(0.,-2.) node(6_0) [draw,shape=circle,color=gray] {6} -- 16*02918637SMatthew G. Knepley(-2.,0.) node(7_0) [draw,shape=circle,color=gray] {7} -- 17*02918637SMatthew G. Knepley(0.,2.) node(8_0) [draw,shape=circle,color=gray] {8} -- 18*02918637SMatthew G. Knepley(0,0); 19*02918637SMatthew G. Knepley\draw[color=gray] (3_0) -- (6_0) -- (2_0) -- (5_0) -- (1_0) -- (8_0) -- (4_0) -- (7_0) -- (3_0); 20*02918637SMatthew G. Knepley\path (0.,0.) node(0_0) [] {}; 21*02918637SMatthew G. Knepley\end{tikzpicture} 22*02918637SMatthew G. Knepley\end{document} 23*02918637SMatthew G. Knepleyquadrilateral orientation -3 24*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 25*02918637SMatthew G. Knepley 26*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 27*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 28*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 29*02918637SMatthew G. Knepley\begin{document} 30*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 31*02918637SMatthew G. Knepley\path (2.,-2.) node(1_0) [draw,shape=circle,color=gray] {1}; 32*02918637SMatthew G. Knepley\path (-2.,-2.) node(2_0) [draw,shape=circle,color=gray] {2}; 33*02918637SMatthew G. Knepley\path (-2.,2.) node(3_0) [draw,shape=circle,color=gray] {3}; 34*02918637SMatthew G. Knepley\path (2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 35*02918637SMatthew G. Knepley\path 36*02918637SMatthew G. Knepley(0.,-2.) node(5_0) [draw,shape=circle,color=gray] {5} -- 37*02918637SMatthew G. Knepley(-2.,0.) node(6_0) [draw,shape=circle,color=gray] {6} -- 38*02918637SMatthew G. Knepley(0.,2.) node(7_0) [draw,shape=circle,color=gray] {7} -- 39*02918637SMatthew G. Knepley(2.,0.) node(8_0) [draw,shape=circle,color=gray] {8} -- 40*02918637SMatthew G. Knepley(0,0); 41*02918637SMatthew G. Knepley\draw[color=gray] (2_0) -- (5_0) -- (1_0) -- (8_0) -- (4_0) -- (7_0) -- (3_0) -- (6_0) -- (2_0); 42*02918637SMatthew G. Knepley\path (0.,0.) node(0_0) [] {}; 43*02918637SMatthew G. Knepley\end{tikzpicture} 44*02918637SMatthew G. Knepley\end{document} 45*02918637SMatthew G. Knepleyquadrilateral orientation -2 46*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 47*02918637SMatthew G. Knepley 48*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 49*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 50*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 51*02918637SMatthew G. Knepley\begin{document} 52*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 53*02918637SMatthew G. Knepley\path (-2.,-2.) node(1_0) [draw,shape=circle,color=gray] {1}; 54*02918637SMatthew G. Knepley\path (-2.,2.) node(2_0) [draw,shape=circle,color=gray] {2}; 55*02918637SMatthew G. Knepley\path (2.,2.) node(3_0) [draw,shape=circle,color=gray] {3}; 56*02918637SMatthew G. Knepley\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 57*02918637SMatthew G. Knepley\path 58*02918637SMatthew G. Knepley(-2.,0.) node(5_0) [draw,shape=circle,color=gray] {5} -- 59*02918637SMatthew G. Knepley(0.,2.) node(6_0) [draw,shape=circle,color=gray] {6} -- 60*02918637SMatthew G. Knepley(2.,0.) node(7_0) [draw,shape=circle,color=gray] {7} -- 61*02918637SMatthew G. Knepley(0.,-2.) node(8_0) [draw,shape=circle,color=gray] {8} -- 62*02918637SMatthew G. Knepley(0,0); 63*02918637SMatthew G. Knepley\draw[color=gray] (1_0) -- (8_0) -- (4_0) -- (7_0) -- (3_0) -- (6_0) -- (2_0) -- (5_0) -- (1_0); 64*02918637SMatthew G. Knepley\path (0.,0.) node(0_0) [] {}; 65*02918637SMatthew G. Knepley\end{tikzpicture} 66*02918637SMatthew G. Knepley\end{document} 67*02918637SMatthew G. Knepleyquadrilateral orientation -1 68*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 69*02918637SMatthew G. Knepley 70*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 71*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 72*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 73*02918637SMatthew G. Knepley\begin{document} 74*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 75*02918637SMatthew G. Knepley\path (-2.,2.) node(1_0) [draw,shape=circle,color=gray] {1}; 76*02918637SMatthew G. Knepley\path (2.,2.) node(2_0) [draw,shape=circle,color=gray] {2}; 77*02918637SMatthew G. Knepley\path (2.,-2.) node(3_0) [draw,shape=circle,color=gray] {3}; 78*02918637SMatthew G. Knepley\path (-2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 79*02918637SMatthew G. Knepley\path 80*02918637SMatthew G. Knepley(0.,2.) node(5_0) [draw,shape=circle,color=gray] {5} -- 81*02918637SMatthew G. Knepley(2.,0.) node(6_0) [draw,shape=circle,color=gray] {6} -- 82*02918637SMatthew G. Knepley(0.,-2.) node(7_0) [draw,shape=circle,color=gray] {7} -- 83*02918637SMatthew G. Knepley(-2.,0.) node(8_0) [draw,shape=circle,color=gray] {8} -- 84*02918637SMatthew G. Knepley(0,0); 85*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (7_0) -- (3_0) -- (6_0) -- (2_0) -- (5_0) -- (1_0) -- (8_0) -- (4_0); 86*02918637SMatthew G. Knepley\path (0.,0.) node(0_0) [] {}; 87*02918637SMatthew G. Knepley\end{tikzpicture} 88*02918637SMatthew G. Knepley\end{document} 89*02918637SMatthew G. Knepleyquadrilateral orientation 0 90*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 91*02918637SMatthew G. Knepley 92*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 93*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 94*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 95*02918637SMatthew G. Knepley\begin{document} 96*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 97*02918637SMatthew G. Knepley\path (-2.,-2.) node(1_0) [draw,shape=circle,color=gray] {1}; 98*02918637SMatthew G. Knepley\path (2.,-2.) node(2_0) [draw,shape=circle,color=gray] {2}; 99*02918637SMatthew G. Knepley\path (2.,2.) node(3_0) [draw,shape=circle,color=gray] {3}; 100*02918637SMatthew G. Knepley\path (-2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 101*02918637SMatthew G. Knepley\path 102*02918637SMatthew G. Knepley(0.,-2.) node(5_0) [draw,shape=circle,color=gray] {5} -- 103*02918637SMatthew G. Knepley(2.,0.) node(6_0) [draw,shape=circle,color=gray] {6} -- 104*02918637SMatthew G. Knepley(0.,2.) node(7_0) [draw,shape=circle,color=gray] {7} -- 105*02918637SMatthew G. Knepley(-2.,0.) node(8_0) [draw,shape=circle,color=gray] {8} -- 106*02918637SMatthew G. Knepley(0,0); 107*02918637SMatthew G. Knepley\draw[color=gray] (1_0) -- (5_0) -- (2_0) -- (6_0) -- (3_0) -- (7_0) -- (4_0) -- (8_0) -- (1_0); 108*02918637SMatthew G. Knepley\path (0.,0.) node(0_0) [] {}; 109*02918637SMatthew G. Knepley\end{tikzpicture} 110*02918637SMatthew G. Knepley\end{document} 111*02918637SMatthew G. Knepleyquadrilateral orientation 1 112*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 113*02918637SMatthew G. Knepley 114*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 115*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 116*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 117*02918637SMatthew G. Knepley\begin{document} 118*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 119*02918637SMatthew G. Knepley\path (-2.,2.) node(1_0) [draw,shape=circle,color=gray] {1}; 120*02918637SMatthew G. Knepley\path (-2.,-2.) node(2_0) [draw,shape=circle,color=gray] {2}; 121*02918637SMatthew G. Knepley\path (2.,-2.) node(3_0) [draw,shape=circle,color=gray] {3}; 122*02918637SMatthew G. Knepley\path (2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 123*02918637SMatthew G. Knepley\path 124*02918637SMatthew G. Knepley(-2.,0.) node(5_0) [draw,shape=circle,color=gray] {5} -- 125*02918637SMatthew G. Knepley(0.,-2.) node(6_0) [draw,shape=circle,color=gray] {6} -- 126*02918637SMatthew G. Knepley(2.,0.) node(7_0) [draw,shape=circle,color=gray] {7} -- 127*02918637SMatthew G. Knepley(0.,2.) node(8_0) [draw,shape=circle,color=gray] {8} -- 128*02918637SMatthew G. Knepley(0,0); 129*02918637SMatthew G. Knepley\draw[color=gray] (2_0) -- (6_0) -- (3_0) -- (7_0) -- (4_0) -- (8_0) -- (1_0) -- (5_0) -- (2_0); 130*02918637SMatthew G. Knepley\path (0.,0.) node(0_0) [] {}; 131*02918637SMatthew G. Knepley\end{tikzpicture} 132*02918637SMatthew G. Knepley\end{document} 133*02918637SMatthew G. Knepleyquadrilateral orientation 2 134*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 135*02918637SMatthew G. Knepley 136*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 137*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 138*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 139*02918637SMatthew G. Knepley\begin{document} 140*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 141*02918637SMatthew G. Knepley\path (2.,2.) node(1_0) [draw,shape=circle,color=gray] {1}; 142*02918637SMatthew G. Knepley\path (-2.,2.) node(2_0) [draw,shape=circle,color=gray] {2}; 143*02918637SMatthew G. Knepley\path (-2.,-2.) node(3_0) [draw,shape=circle,color=gray] {3}; 144*02918637SMatthew G. Knepley\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 145*02918637SMatthew G. Knepley\path 146*02918637SMatthew G. Knepley(0.,2.) node(5_0) [draw,shape=circle,color=gray] {5} -- 147*02918637SMatthew G. Knepley(-2.,0.) node(6_0) [draw,shape=circle,color=gray] {6} -- 148*02918637SMatthew G. Knepley(0.,-2.) node(7_0) [draw,shape=circle,color=gray] {7} -- 149*02918637SMatthew G. Knepley(2.,0.) node(8_0) [draw,shape=circle,color=gray] {8} -- 150*02918637SMatthew G. Knepley(0,0); 151*02918637SMatthew G. Knepley\draw[color=gray] (3_0) -- (7_0) -- (4_0) -- (8_0) -- (1_0) -- (5_0) -- (2_0) -- (6_0) -- (3_0); 152*02918637SMatthew G. Knepley\path (0.,0.) node(0_0) [] {}; 153*02918637SMatthew G. Knepley\end{tikzpicture} 154*02918637SMatthew G. Knepley\end{document} 155*02918637SMatthew G. Knepleyquadrilateral orientation 3 156*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 157*02918637SMatthew G. Knepley 158*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 159*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 160*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 161*02918637SMatthew G. Knepley\begin{document} 162*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 0.5,font=\fontsize{8}{8}\selectfont] 163*02918637SMatthew G. Knepley\path (2.,-2.) node(1_0) [draw,shape=circle,color=gray] {1}; 164*02918637SMatthew G. Knepley\path (2.,2.) node(2_0) [draw,shape=circle,color=gray] {2}; 165*02918637SMatthew G. Knepley\path (-2.,2.) node(3_0) [draw,shape=circle,color=gray] {3}; 166*02918637SMatthew G. Knepley\path (-2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 167*02918637SMatthew G. Knepley\path 168*02918637SMatthew G. Knepley(2.,0.) node(5_0) [draw,shape=circle,color=gray] {5} -- 169*02918637SMatthew G. Knepley(0.,2.) node(6_0) [draw,shape=circle,color=gray] {6} -- 170*02918637SMatthew G. Knepley(-2.,0.) node(7_0) [draw,shape=circle,color=gray] {7} -- 171*02918637SMatthew G. Knepley(0.,-2.) node(8_0) [draw,shape=circle,color=gray] {8} -- 172*02918637SMatthew G. Knepley(0,0); 173*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (8_0) -- (1_0) -- (5_0) -- (2_0) -- (6_0) -- (3_0) -- (7_0) -- (4_0); 174*02918637SMatthew G. Knepley\path (0.,0.) node(0_0) [] {}; 175*02918637SMatthew G. Knepley\end{tikzpicture} 176*02918637SMatthew G. Knepley\end{document} 177