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 (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3}; 10*02918637SMatthew G. Knepley\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 11*02918637SMatthew G. Knepley\path (-2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 12*02918637SMatthew G. Knepley\path (-2.,2.) node(6_0) [draw,shape=circle,color=gray] {6}; 13*02918637SMatthew G. Knepley\path (0.,-2.) node(7_0) [draw,shape=circle,color=gray] {7}; 14*02918637SMatthew G. Knepley\path (-2.,0.) node(8_0) [draw,shape=circle,color=gray] {8}; 15*02918637SMatthew G. Knepley\path (0.,0.) node(9_0) [draw,shape=circle,color=gray] {9}; 16*02918637SMatthew G. Knepley\path 17*02918637SMatthew G. Knepley(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} -- 18*02918637SMatthew G. Knepley(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} -- 19*02918637SMatthew G. Knepley(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} -- 20*02918637SMatthew G. Knepley(1.,-2.) node(13_0) [draw,shape=circle,color=gray] {13} -- 21*02918637SMatthew G. Knepley(-1.,-2.) node(14_0) [draw,shape=circle,color=gray] {14} -- 22*02918637SMatthew G. Knepley(-2.,-1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 23*02918637SMatthew G. Knepley(-2.,1.) node(16_0) [draw,shape=circle,color=gray] {16} -- 24*02918637SMatthew G. Knepley(-1.,1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 25*02918637SMatthew G. Knepley(1.,-1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 26*02918637SMatthew G. Knepley(0,0); 27*02918637SMatthew G. Knepley\draw[color=gray] (5_0) -- (14_0) -- (7_0) -- (10_0) -- (3_0) -- (12_0) -- (8_0) -- (15_0) -- (5_0); 28*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (13_0) -- (4_0) -- (18_0) -- (9_0) -- (11_0) -- (3_0) -- (10_0) -- (7_0); 29*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (12_0) -- (3_0) -- (11_0) -- (9_0) -- (17_0) -- (6_0) -- (16_0) -- (8_0); 30*02918637SMatthew G. Knepley\path (-1.16667,-1.16667) node(0_0) [] {}; 31*02918637SMatthew G. Knepley\path (0.333333,-1.16667) node(1_0) [] {}; 32*02918637SMatthew G. Knepley\path (-1.16667,0.333333) node(2_0) [] {}; 33*02918637SMatthew G. Knepley\end{tikzpicture} 34*02918637SMatthew G. Knepley\end{document} 35*02918637SMatthew G. Knepleytriangle orientation -2 36*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 37*02918637SMatthew G. Knepley 38*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 39*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 40*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 41*02918637SMatthew G. Knepley\begin{document} 42*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 43*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3}; 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(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} -- 52*02918637SMatthew G. Knepley(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} -- 53*02918637SMatthew G. Knepley(-1.33333,-0.333333) 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) -- (10_0) -- (3_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) -- (11_0) -- (3_0) -- (10_0) -- (9_0); 63*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (12_0) -- (3_0) -- (11_0) -- (8_0) -- (15_0) -- (5_0) -- (14_0) -- (7_0); 64*02918637SMatthew G. Knepley\path (-1.16667,-1.16667) node(0_0) [] {}; 65*02918637SMatthew G. Knepley\path (0.333333,-1.16667) node(1_0) [] {}; 66*02918637SMatthew G. Knepley\path (-1.16667,0.333333) node(2_0) [] {}; 67*02918637SMatthew G. Knepley\end{tikzpicture} 68*02918637SMatthew G. Knepley\end{document} 69*02918637SMatthew G. Knepleytriangle orientation -1 70*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 71*02918637SMatthew G. Knepley 72*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 73*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 74*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 75*02918637SMatthew G. Knepley\begin{document} 76*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 77*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) 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 (2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 80*02918637SMatthew G. Knepley\path (-2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6}; 81*02918637SMatthew G. Knepley\path (0.,0.) node(7_0) [draw,shape=circle,color=gray] {7}; 82*02918637SMatthew G. Knepley\path (0.,-2.) node(8_0) [draw,shape=circle,color=gray] {8}; 83*02918637SMatthew G. Knepley\path (-2.,0.) node(9_0) [draw,shape=circle,color=gray] {9}; 84*02918637SMatthew G. Knepley\path 85*02918637SMatthew G. Knepley(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} -- 86*02918637SMatthew G. Knepley(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} -- 87*02918637SMatthew G. Knepley(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} -- 88*02918637SMatthew G. Knepley(-1.,1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 89*02918637SMatthew G. Knepley(1.,-1.) node(14_0) [draw,shape=circle,color=gray] {14} -- 90*02918637SMatthew G. Knepley(1.,-2.) node(15_0) [draw,shape=circle,color=gray] {15} -- 91*02918637SMatthew G. Knepley(-1.,-2.) node(16_0) [draw,shape=circle,color=gray] {16} -- 92*02918637SMatthew G. Knepley(-2.,-1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 93*02918637SMatthew G. Knepley(-2.,1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 94*02918637SMatthew G. Knepley(0,0); 95*02918637SMatthew G. Knepley\draw[color=gray] (6_0) -- (16_0) -- (8_0) -- (10_0) -- (3_0) -- (12_0) -- (9_0) -- (17_0) -- (6_0); 96*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (15_0) -- (5_0) -- (14_0) -- (7_0) -- (11_0) -- (3_0) -- (10_0) -- (8_0); 97*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (12_0) -- (3_0) -- (11_0) -- (7_0) -- (13_0) -- (4_0) -- (18_0) -- (9_0); 98*02918637SMatthew G. Knepley\path (-1.16667,-1.16667) node(0_0) [] {}; 99*02918637SMatthew G. Knepley\path (0.333333,-1.16667) node(1_0) [] {}; 100*02918637SMatthew G. Knepley\path (-1.16667,0.333333) node(2_0) [] {}; 101*02918637SMatthew G. Knepley\end{tikzpicture} 102*02918637SMatthew G. Knepley\end{document} 103*02918637SMatthew G. Knepleytriangle orientation 0 104*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 105*02918637SMatthew G. Knepley 106*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 107*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 108*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 109*02918637SMatthew G. Knepley\begin{document} 110*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 111*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3}; 112*02918637SMatthew G. Knepley\path (-2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 113*02918637SMatthew G. Knepley\path (2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 114*02918637SMatthew G. Knepley\path (-2.,2.) node(6_0) [draw,shape=circle,color=gray] {6}; 115*02918637SMatthew G. Knepley\path (0.,-2.) node(7_0) [draw,shape=circle,color=gray] {7}; 116*02918637SMatthew G. Knepley\path (0.,0.) node(8_0) [draw,shape=circle,color=gray] {8}; 117*02918637SMatthew G. Knepley\path (-2.,0.) node(9_0) [draw,shape=circle,color=gray] {9}; 118*02918637SMatthew G. Knepley\path 119*02918637SMatthew G. Knepley(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} -- 120*02918637SMatthew G. Knepley(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} -- 121*02918637SMatthew G. Knepley(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} -- 122*02918637SMatthew G. Knepley(-1.,-2.) node(13_0) [draw,shape=circle,color=gray] {13} -- 123*02918637SMatthew G. Knepley(1.,-2.) node(14_0) [draw,shape=circle,color=gray] {14} -- 124*02918637SMatthew G. Knepley(1.,-1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 125*02918637SMatthew G. Knepley(-1.,1.) node(16_0) [draw,shape=circle,color=gray] {16} -- 126*02918637SMatthew G. Knepley(-2.,1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 127*02918637SMatthew G. Knepley(-2.,-1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 128*02918637SMatthew G. Knepley(0,0); 129*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (13_0) -- (7_0) -- (10_0) -- (3_0) -- (12_0) -- (9_0) -- (18_0) -- (4_0); 130*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (14_0) -- (5_0) -- (15_0) -- (8_0) -- (11_0) -- (3_0) -- (10_0) -- (7_0); 131*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (12_0) -- (3_0) -- (11_0) -- (8_0) -- (16_0) -- (6_0) -- (17_0) -- (9_0); 132*02918637SMatthew G. Knepley\path (-1.16667,-1.16667) node(0_0) [] {}; 133*02918637SMatthew G. Knepley\path (0.333333,-1.16667) node(1_0) [] {}; 134*02918637SMatthew G. Knepley\path (-1.16667,0.333333) node(2_0) [] {}; 135*02918637SMatthew G. Knepley\end{tikzpicture} 136*02918637SMatthew G. Knepley\end{document} 137*02918637SMatthew G. Knepleytriangle orientation 1 138*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 139*02918637SMatthew G. Knepley 140*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 141*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 142*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 143*02918637SMatthew G. Knepley\begin{document} 144*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 145*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3}; 146*02918637SMatthew G. Knepley\path (-2.,2.) node(4_0) [draw,shape=circle,color=gray] {4}; 147*02918637SMatthew G. Knepley\path (-2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 148*02918637SMatthew G. Knepley\path (2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6}; 149*02918637SMatthew G. Knepley\path (-2.,0.) node(7_0) [draw,shape=circle,color=gray] {7}; 150*02918637SMatthew G. Knepley\path (0.,-2.) node(8_0) [draw,shape=circle,color=gray] {8}; 151*02918637SMatthew G. Knepley\path (0.,0.) node(9_0) [draw,shape=circle,color=gray] {9}; 152*02918637SMatthew G. Knepley\path 153*02918637SMatthew G. Knepley(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} -- 154*02918637SMatthew G. Knepley(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} -- 155*02918637SMatthew G. Knepley(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} -- 156*02918637SMatthew G. Knepley(-2.,1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 157*02918637SMatthew G. Knepley(-2.,-1.) node(14_0) [draw,shape=circle,color=gray] {14} -- 158*02918637SMatthew G. Knepley(-1.,-2.) node(15_0) [draw,shape=circle,color=gray] {15} -- 159*02918637SMatthew G. Knepley(1.,-2.) node(16_0) [draw,shape=circle,color=gray] {16} -- 160*02918637SMatthew G. Knepley(1.,-1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 161*02918637SMatthew G. Knepley(-1.,1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 162*02918637SMatthew G. Knepley(0,0); 163*02918637SMatthew G. Knepley\draw[color=gray] (5_0) -- (15_0) -- (8_0) -- (10_0) -- (3_0) -- (12_0) -- (7_0) -- (14_0) -- (5_0); 164*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (16_0) -- (6_0) -- (17_0) -- (9_0) -- (11_0) -- (3_0) -- (10_0) -- (8_0); 165*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (12_0) -- (3_0) -- (11_0) -- (9_0) -- (18_0) -- (4_0) -- (13_0) -- (7_0); 166*02918637SMatthew G. Knepley\path (-1.16667,-1.16667) node(0_0) [] {}; 167*02918637SMatthew G. Knepley\path (0.333333,-1.16667) node(1_0) [] {}; 168*02918637SMatthew G. Knepley\path (-1.16667,0.333333) node(2_0) [] {}; 169*02918637SMatthew G. Knepley\end{tikzpicture} 170*02918637SMatthew G. Knepley\end{document} 171*02918637SMatthew G. Knepleytriangle orientation 2 172*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 173*02918637SMatthew G. Knepley 174*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 175*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 176*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 177*02918637SMatthew G. Knepley\begin{document} 178*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 179*02918637SMatthew G. Knepley\path (-0.666667,-0.666667) node(3_0) [draw,shape=circle,color=gray] {3}; 180*02918637SMatthew G. Knepley\path (2.,-2.) node(4_0) [draw,shape=circle,color=gray] {4}; 181*02918637SMatthew G. Knepley\path (-2.,2.) node(5_0) [draw,shape=circle,color=gray] {5}; 182*02918637SMatthew G. Knepley\path (-2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6}; 183*02918637SMatthew G. Knepley\path (0.,0.) node(7_0) [draw,shape=circle,color=gray] {7}; 184*02918637SMatthew G. Knepley\path (-2.,0.) node(8_0) [draw,shape=circle,color=gray] {8}; 185*02918637SMatthew G. Knepley\path (0.,-2.) node(9_0) [draw,shape=circle,color=gray] {9}; 186*02918637SMatthew G. Knepley\path 187*02918637SMatthew G. Knepley(-0.333333,-1.33333) node(10_0) [draw,shape=circle,color=gray] {10} -- 188*02918637SMatthew G. Knepley(-0.333333,-0.333333) node(11_0) [draw,shape=circle,color=gray] {11} -- 189*02918637SMatthew G. Knepley(-1.33333,-0.333333) node(12_0) [draw,shape=circle,color=gray] {12} -- 190*02918637SMatthew G. Knepley(1.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 191*02918637SMatthew G. Knepley(-1.,1.) node(14_0) [draw,shape=circle,color=gray] {14} -- 192*02918637SMatthew G. Knepley(-2.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 193*02918637SMatthew G. Knepley(-2.,-1.) node(16_0) [draw,shape=circle,color=gray] {16} -- 194*02918637SMatthew G. Knepley(-1.,-2.) node(17_0) [draw,shape=circle,color=gray] {17} -- 195*02918637SMatthew G. Knepley(1.,-2.) node(18_0) [draw,shape=circle,color=gray] {18} -- 196*02918637SMatthew G. Knepley(0,0); 197*02918637SMatthew G. Knepley\draw[color=gray] (6_0) -- (17_0) -- (9_0) -- (10_0) -- (3_0) -- (12_0) -- (8_0) -- (16_0) -- (6_0); 198*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (18_0) -- (4_0) -- (13_0) -- (7_0) -- (11_0) -- (3_0) -- (10_0) -- (9_0); 199*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (12_0) -- (3_0) -- (11_0) -- (7_0) -- (14_0) -- (5_0) -- (15_0) -- (8_0); 200*02918637SMatthew G. Knepley\path (-1.16667,-1.16667) node(0_0) [] {}; 201*02918637SMatthew G. Knepley\path (0.333333,-1.16667) node(1_0) [] {}; 202*02918637SMatthew G. Knepley\path (-1.16667,0.333333) node(2_0) [] {}; 203*02918637SMatthew G. Knepley\end{tikzpicture} 204*02918637SMatthew G. Knepley\end{document} 205