1*02918637SMatthew G. Knepleytriangle orientation -3 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 = 1.,font=\fontsize{8}{8}\selectfont] 9*02918637SMatthew G. Knepley\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 10*02918637SMatthew G. Knepley\path (-2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 11*02918637SMatthew G. Knepley\path (-2.,2.) node(6_0) [draw,shape=circle,color=gray] {6}; 12*02918637SMatthew G. Knepley\path (0.,-2.) node(7_0) [draw,shape=circle,color=gray] {7}; 13*02918637SMatthew G. Knepley\path (-2.,0.) node(8_0) [draw,shape=circle,color=gray] {8}; 14*02918637SMatthew G. 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Knepley\draw[color=gray] (5_0) -- (14_0) -- (7_0) -- (12_0) -- (8_0) -- (15_0) -- (5_0); 27*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (13_0) -- (4_0) -- (18_0) -- (9_0) -- (10_0) -- (7_0); 28*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (11_0) -- (9_0) -- (17_0) -- (6_0) -- (16_0) -- (8_0); 29*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (10_0) -- (9_0) -- (11_0) -- (8_0) -- (12_0) -- (7_0); 30*02918637SMatthew G. Knepley\path (-1.33333,-1.33333) node(0_0) [] {}; 31*02918637SMatthew G. Knepley\path (0.666667,-1.33333) node(1_0) [] {}; 32*02918637SMatthew G. Knepley\path (-1.33333,0.666667) node(2_0) [] {}; 33*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [] {}; 34*02918637SMatthew G. Knepley\end{tikzpicture} 35*02918637SMatthew G. Knepley\end{document} 36*02918637SMatthew G. Knepleytriangle orientation -2 37*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 38*02918637SMatthew G. Knepley 39*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 40*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 41*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 42*02918637SMatthew G. Knepley\begin{document} 43*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 44*02918637SMatthew G. Knepley\path (-2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 45*02918637SMatthew G. Knepley\path (-2.,2.) node(5_0) [draw,shape=circle,color=gray] {5}; 46*02918637SMatthew G. Knepley\path (2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6}; 47*02918637SMatthew G. Knepley\path (-2.,0.) node(7_0) [draw,shape=circle,color=gray] {7}; 48*02918637SMatthew G. Knepley\path (0.,0.) node(8_0) [draw,shape=circle,color=gray] {8}; 49*02918637SMatthew G. Knepley\path (0.,-2.) node(9_0) [draw,shape=circle,color=gray] {9}; 50*02918637SMatthew G. Knepley\path 51*02918637SMatthew G. Knepley(0.,-1.) node(10_0) [draw,shape=circle,color=gray] {10} -- 52*02918637SMatthew G. Knepley(-1.,0.) node(11_0) [draw,shape=circle,color=gray] {11} -- 53*02918637SMatthew G. Knepley(-1.,-1.) node(12_0) [draw,shape=circle,color=gray] {12} -- 54*02918637SMatthew G. Knepley(-2.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 55*02918637SMatthew G. Knepley(-2.,1.) node(14_0) [draw,shape=circle,color=gray] {14} -- 56*02918637SMatthew G. Knepley(-1.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 57*02918637SMatthew G. Knepley(1.,-1.) node(16_0) [draw,shape=circle,color=gray] {16} -- 58*02918637SMatthew G. Knepley(1.,-2.) node(17_0) [draw,shape=circle,color=gray] {17} -- 59*02918637SMatthew G. Knepley(-1.,-2.) node(18_0) [draw,shape=circle,color=gray] {18} -- 60*02918637SMatthew G. Knepley(0,0); 61*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (18_0) -- (9_0) -- (12_0) -- (7_0) -- (13_0) -- (4_0); 62*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (17_0) -- (6_0) -- (16_0) -- (8_0) -- (10_0) -- (9_0); 63*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (11_0) -- (8_0) -- (15_0) -- (5_0) -- (14_0) -- (7_0); 64*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (10_0) -- (8_0) -- (11_0) -- (7_0) -- (12_0) -- (9_0); 65*02918637SMatthew G. Knepley\path (-1.33333,-1.33333) node(0_0) [] {}; 66*02918637SMatthew G. Knepley\path (0.666667,-1.33333) node(1_0) [] {}; 67*02918637SMatthew G. Knepley\path (-1.33333,0.666667) node(2_0) [] {}; 68*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [] {}; 69*02918637SMatthew G. Knepley\end{tikzpicture} 70*02918637SMatthew G. Knepley\end{document} 71*02918637SMatthew G. Knepleytriangle orientation -1 72*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 73*02918637SMatthew G. Knepley 74*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 75*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 76*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 77*02918637SMatthew G. Knepley\begin{document} 78*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 79*02918637SMatthew G. Knepley\path (-2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 80*02918637SMatthew G. Knepley\path (2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 81*02918637SMatthew G. Knepley\path (-2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6}; 82*02918637SMatthew G. Knepley\path (0.,0.) node(7_0) [draw,shape=circle,color=gray] {7}; 83*02918637SMatthew G. Knepley\path (0.,-2.) node(8_0) [draw,shape=circle,color=gray] {8}; 84*02918637SMatthew G. Knepley\path (-2.,0.) node(9_0) [draw,shape=circle,color=gray] {9}; 85*02918637SMatthew G. Knepley\path 86*02918637SMatthew G. Knepley(0.,-1.) node(10_0) [draw,shape=circle,color=gray] {10} -- 87*02918637SMatthew G. Knepley(-1.,0.) node(11_0) [draw,shape=circle,color=gray] {11} -- 88*02918637SMatthew G. Knepley(-1.,-1.) node(12_0) [draw,shape=circle,color=gray] {12} -- 89*02918637SMatthew G. Knepley(-1.,1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 90*02918637SMatthew G. Knepley(1.,-1.) node(14_0) [draw,shape=circle,color=gray] {14} -- 91*02918637SMatthew G. Knepley(1.,-2.) node(15_0) [draw,shape=circle,color=gray] {15} -- 92*02918637SMatthew G. Knepley(-1.,-2.) node(16_0) [draw,shape=circle,color=gray] {16} -- 93*02918637SMatthew G. Knepley(-2.,-1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 94*02918637SMatthew G. Knepley(-2.,1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 95*02918637SMatthew G. Knepley(0,0); 96*02918637SMatthew G. Knepley\draw[color=gray] (6_0) -- (16_0) -- (8_0) -- (12_0) -- (9_0) -- (17_0) -- (6_0); 97*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (15_0) -- (5_0) -- (14_0) -- (7_0) -- (10_0) -- (8_0); 98*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (11_0) -- (7_0) -- (13_0) -- (4_0) -- (18_0) -- (9_0); 99*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (10_0) -- (7_0) -- (11_0) -- (9_0) -- (12_0) -- (8_0); 100*02918637SMatthew G. Knepley\path (-1.33333,-1.33333) node(0_0) [] {}; 101*02918637SMatthew G. Knepley\path (0.666667,-1.33333) node(1_0) [] {}; 102*02918637SMatthew G. Knepley\path (-1.33333,0.666667) node(2_0) [] {}; 103*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [] {}; 104*02918637SMatthew G. Knepley\end{tikzpicture} 105*02918637SMatthew G. Knepley\end{document} 106*02918637SMatthew G. Knepleytriangle orientation 0 107*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 108*02918637SMatthew G. Knepley 109*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 110*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 111*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 112*02918637SMatthew G. Knepley\begin{document} 113*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 114*02918637SMatthew G. 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Knepley(1.,-2.) node(14_0) [draw,shape=circle,color=gray] {14} -- 126*02918637SMatthew G. Knepley(1.,-1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 127*02918637SMatthew G. Knepley(-1.,1.) node(16_0) [draw,shape=circle,color=gray] {16} -- 128*02918637SMatthew G. Knepley(-2.,1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 129*02918637SMatthew G. Knepley(-2.,-1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 130*02918637SMatthew G. Knepley(0,0); 131*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (13_0) -- (7_0) -- (12_0) -- (9_0) -- (18_0) -- (4_0); 132*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (14_0) -- (5_0) -- (15_0) -- (8_0) -- (10_0) -- (7_0); 133*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (11_0) -- (8_0) -- (16_0) -- (6_0) -- (17_0) -- (9_0); 134*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (10_0) -- (8_0) -- (11_0) -- (9_0) -- (12_0) -- (7_0); 135*02918637SMatthew G. Knepley\path (-1.33333,-1.33333) node(0_0) [] {}; 136*02918637SMatthew G. Knepley\path (0.666667,-1.33333) node(1_0) [] {}; 137*02918637SMatthew G. Knepley\path (-1.33333,0.666667) node(2_0) [] {}; 138*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [] {}; 139*02918637SMatthew G. Knepley\end{tikzpicture} 140*02918637SMatthew G. Knepley\end{document} 141*02918637SMatthew G. Knepleytriangle orientation 1 142*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 143*02918637SMatthew G. Knepley 144*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 145*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 146*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 147*02918637SMatthew G. Knepley\begin{document} 148*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 149*02918637SMatthew G. Knepley\path (-2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 150*02918637SMatthew G. 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Knepley(-1.,-2.) node(15_0) [draw,shape=circle,color=gray] {15} -- 162*02918637SMatthew G. Knepley(1.,-2.) node(16_0) [draw,shape=circle,color=gray] {16} -- 163*02918637SMatthew G. Knepley(1.,-1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 164*02918637SMatthew G. Knepley(-1.,1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 165*02918637SMatthew G. Knepley(0,0); 166*02918637SMatthew G. Knepley\draw[color=gray] (5_0) -- (15_0) -- (8_0) -- (12_0) -- (7_0) -- (14_0) -- (5_0); 167*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (16_0) -- (6_0) -- (17_0) -- (9_0) -- (10_0) -- (8_0); 168*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (11_0) -- (9_0) -- (18_0) -- (4_0) -- (13_0) -- (7_0); 169*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (10_0) -- (9_0) -- (11_0) -- (7_0) -- (12_0) -- (8_0); 170*02918637SMatthew G. Knepley\path (-1.33333,-1.33333) node(0_0) [] {}; 171*02918637SMatthew G. Knepley\path (0.666667,-1.33333) node(1_0) [] {}; 172*02918637SMatthew G. Knepley\path (-1.33333,0.666667) node(2_0) [] {}; 173*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [] {}; 174*02918637SMatthew G. Knepley\end{tikzpicture} 175*02918637SMatthew G. Knepley\end{document} 176*02918637SMatthew G. Knepleytriangle orientation 2 177*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 178*02918637SMatthew G. Knepley 179*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 180*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 181*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 182*02918637SMatthew G. Knepley\begin{document} 183*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 184*02918637SMatthew G. Knepley\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 185*02918637SMatthew G. Knepley\path (-2.,2.) node(5_0) [draw,shape=circle,color=gray] {5}; 186*02918637SMatthew G. Knepley\path (-2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6}; 187*02918637SMatthew G. Knepley\path (0.,0.) node(7_0) [draw,shape=circle,color=gray] {7}; 188*02918637SMatthew G. Knepley\path (-2.,0.) node(8_0) [draw,shape=circle,color=gray] {8}; 189*02918637SMatthew G. Knepley\path (0.,-2.) node(9_0) [draw,shape=circle,color=gray] {9}; 190*02918637SMatthew G. Knepley\path 191*02918637SMatthew G. Knepley(0.,-1.) node(10_0) [draw,shape=circle,color=gray] {10} -- 192*02918637SMatthew G. Knepley(-1.,0.) node(11_0) [draw,shape=circle,color=gray] {11} -- 193*02918637SMatthew G. Knepley(-1.,-1.) node(12_0) [draw,shape=circle,color=gray] {12} -- 194*02918637SMatthew G. Knepley(1.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 195*02918637SMatthew G. Knepley(-1.,1.) node(14_0) [draw,shape=circle,color=gray] {14} -- 196*02918637SMatthew G. Knepley(-2.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 197*02918637SMatthew G. Knepley(-2.,-1.) node(16_0) [draw,shape=circle,color=gray] {16} -- 198*02918637SMatthew G. Knepley(-1.,-2.) node(17_0) [draw,shape=circle,color=gray] {17} -- 199*02918637SMatthew G. Knepley(1.,-2.) node(18_0) [draw,shape=circle,color=gray] {18} -- 200*02918637SMatthew G. Knepley(0,0); 201*02918637SMatthew G. Knepley\draw[color=gray] (6_0) -- (17_0) -- (9_0) -- (12_0) -- (8_0) -- (16_0) -- (6_0); 202*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (18_0) -- (4_0) -- (13_0) -- (7_0) -- (10_0) -- (9_0); 203*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (11_0) -- (7_0) -- (14_0) -- (5_0) -- (15_0) -- (8_0); 204*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (10_0) -- (7_0) -- (11_0) -- (8_0) -- (12_0) -- (9_0); 205*02918637SMatthew G. Knepley\path (-1.33333,-1.33333) node(0_0) [] {}; 206*02918637SMatthew G. Knepley\path (0.666667,-1.33333) node(1_0) [] {}; 207*02918637SMatthew G. Knepley\path (-1.33333,0.666667) node(2_0) [] {}; 208*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [] {}; 209*02918637SMatthew G. 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