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 = 1.,font=\fontsize{8}{8}\selectfont] 9*02918637SMatthew G. Knepley\path (0.,0.) 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 (-2.,-2.) node(7_0) [draw,shape=circle,color=gray] {7}; 13*02918637SMatthew G. Knepley\path (-2.,2.) node(8_0) [draw,shape=circle,color=gray] {8}; 14*02918637SMatthew G. Knepley\path (2.,0.) node(9_0) [draw,shape=circle,color=gray] {9}; 15*02918637SMatthew G. Knepley\path (0.,-2.) node(10_0) [draw,shape=circle,color=gray] {10}; 16*02918637SMatthew G. Knepley\path (-2.,0.) node(11_0) [draw,shape=circle,color=gray] {11}; 17*02918637SMatthew G. Knepley\path (0.,2.) node(12_0) [draw,shape=circle,color=gray] {12}; 18*02918637SMatthew G. Knepley\path 19*02918637SMatthew G. Knepley(0.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 20*02918637SMatthew G. Knepley(1.,0.) node(14_0) [draw,shape=circle,color=gray] {14} -- 21*02918637SMatthew G. Knepley(0.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 22*02918637SMatthew G. Knepley(-1.,0.) node(16_0) [draw,shape=circle,color=gray] {16} -- 23*02918637SMatthew G. Knepley(2.,1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 24*02918637SMatthew G. Knepley(2.,-1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 25*02918637SMatthew G. Knepley(1.,-2.) node(19_0) [draw,shape=circle,color=gray] {19} -- 26*02918637SMatthew G. Knepley(-1.,-2.) node(20_0) [draw,shape=circle,color=gray] {20} -- 27*02918637SMatthew G. Knepley(-2.,-1.) node(21_0) [draw,shape=circle,color=gray] {21} -- 28*02918637SMatthew G. Knepley(-2.,1.) node(22_0) [draw,shape=circle,color=gray] {22} -- 29*02918637SMatthew G. Knepley(-1.,2.) node(23_0) [draw,shape=circle,color=gray] {23} -- 30*02918637SMatthew G. Knepley(1.,2.) node(24_0) [draw,shape=circle,color=gray] {24} -- 31*02918637SMatthew G. Knepley(0,0); 32*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (20_0) -- (10_0) -- (13_0) -- (4_0) -- (16_0) -- (11_0) -- (21_0) -- (7_0); 33*02918637SMatthew G. Knepley\draw[color=gray] (10_0) -- (19_0) -- (6_0) -- (18_0) -- (9_0) -- (14_0) -- (4_0) -- (13_0) -- (10_0); 34*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (14_0) -- (9_0) -- (17_0) -- (5_0) -- (24_0) -- (12_0) -- (15_0) -- (4_0); 35*02918637SMatthew G. Knepley\draw[color=gray] (11_0) -- (16_0) -- (4_0) -- (15_0) -- (12_0) -- (23_0) -- (8_0) -- (22_0) -- (11_0); 36*02918637SMatthew G. Knepley\path (-1.,-1.) node(0_0) [] {}; 37*02918637SMatthew G. Knepley\path (1.,-1.) node(1_0) [] {}; 38*02918637SMatthew G. Knepley\path (1.,1.) node(2_0) [] {}; 39*02918637SMatthew G. Knepley\path (-1.,1.) node(3_0) [] {}; 40*02918637SMatthew G. Knepley\end{tikzpicture} 41*02918637SMatthew G. Knepley\end{document} 42*02918637SMatthew G. Knepleyquadrilateral orientation -3 43*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 44*02918637SMatthew G. Knepley 45*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 46*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 47*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 48*02918637SMatthew G. Knepley\begin{document} 49*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 50*02918637SMatthew G. Knepley\path (0.,0.) node(4_0) [draw,shape=circle,color=gray] {4}; 51*02918637SMatthew G. Knepley\path (2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 52*02918637SMatthew G. Knepley\path (-2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6}; 53*02918637SMatthew G. Knepley\path (-2.,2.) node(7_0) [draw,shape=circle,color=gray] {7}; 54*02918637SMatthew G. Knepley\path (2.,2.) node(8_0) [draw,shape=circle,color=gray] {8}; 55*02918637SMatthew G. Knepley\path (0.,-2.) node(9_0) [draw,shape=circle,color=gray] {9}; 56*02918637SMatthew G. Knepley\path (-2.,0.) node(10_0) [draw,shape=circle,color=gray] {10}; 57*02918637SMatthew G. Knepley\path (0.,2.) node(11_0) [draw,shape=circle,color=gray] {11}; 58*02918637SMatthew G. Knepley\path (2.,0.) node(12_0) [draw,shape=circle,color=gray] {12}; 59*02918637SMatthew G. Knepley\path 60*02918637SMatthew G. Knepley(0.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 61*02918637SMatthew G. Knepley(1.,0.) node(14_0) [draw,shape=circle,color=gray] {14} -- 62*02918637SMatthew G. Knepley(0.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 63*02918637SMatthew G. Knepley(-1.,0.) node(16_0) [draw,shape=circle,color=gray] {16} -- 64*02918637SMatthew G. Knepley(1.,-2.) node(17_0) [draw,shape=circle,color=gray] {17} -- 65*02918637SMatthew G. Knepley(-1.,-2.) node(18_0) [draw,shape=circle,color=gray] {18} -- 66*02918637SMatthew G. Knepley(-2.,-1.) node(19_0) [draw,shape=circle,color=gray] {19} -- 67*02918637SMatthew G. Knepley(-2.,1.) node(20_0) [draw,shape=circle,color=gray] {20} -- 68*02918637SMatthew G. Knepley(-1.,2.) node(21_0) [draw,shape=circle,color=gray] {21} -- 69*02918637SMatthew G. Knepley(1.,2.) node(22_0) [draw,shape=circle,color=gray] {22} -- 70*02918637SMatthew G. Knepley(2.,1.) node(23_0) [draw,shape=circle,color=gray] {23} -- 71*02918637SMatthew G. Knepley(2.,-1.) node(24_0) [draw,shape=circle,color=gray] {24} -- 72*02918637SMatthew G. Knepley(0,0); 73*02918637SMatthew G. Knepley\draw[color=gray] (6_0) -- (18_0) -- (9_0) -- (13_0) -- (4_0) -- (16_0) -- (10_0) -- (19_0) -- (6_0); 74*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (17_0) -- (5_0) -- (24_0) -- (12_0) -- (14_0) -- (4_0) -- (13_0) -- (9_0); 75*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (14_0) -- (12_0) -- (23_0) -- (8_0) -- (22_0) -- (11_0) -- (15_0) -- (4_0); 76*02918637SMatthew G. Knepley\draw[color=gray] (10_0) -- (16_0) -- (4_0) -- (15_0) -- (11_0) -- (21_0) -- (7_0) -- (20_0) -- (10_0); 77*02918637SMatthew G. Knepley\path (-1.,-1.) node(0_0) [] {}; 78*02918637SMatthew G. Knepley\path (1.,-1.) node(1_0) [] {}; 79*02918637SMatthew G. Knepley\path (1.,1.) node(2_0) [] {}; 80*02918637SMatthew G. Knepley\path (-1.,1.) node(3_0) [] {}; 81*02918637SMatthew G. Knepley\end{tikzpicture} 82*02918637SMatthew G. Knepley\end{document} 83*02918637SMatthew G. Knepleyquadrilateral orientation -2 84*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 85*02918637SMatthew G. Knepley 86*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 87*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 88*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 89*02918637SMatthew G. Knepley\begin{document} 90*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 91*02918637SMatthew G. Knepley\path (0.,0.) node(4_0) [draw,shape=circle,color=gray] {4}; 92*02918637SMatthew G. Knepley\path (-2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 93*02918637SMatthew G. Knepley\path (-2.,2.) node(6_0) [draw,shape=circle,color=gray] {6}; 94*02918637SMatthew G. Knepley\path (2.,2.) node(7_0) [draw,shape=circle,color=gray] {7}; 95*02918637SMatthew G. Knepley\path (2.,-2.) node(8_0) [draw,shape=circle,color=gray] {8}; 96*02918637SMatthew G. Knepley\path (-2.,0.) node(9_0) [draw,shape=circle,color=gray] {9}; 97*02918637SMatthew G. Knepley\path (0.,2.) node(10_0) [draw,shape=circle,color=gray] {10}; 98*02918637SMatthew G. Knepley\path (2.,0.) node(11_0) [draw,shape=circle,color=gray] {11}; 99*02918637SMatthew G. Knepley\path (0.,-2.) node(12_0) [draw,shape=circle,color=gray] {12}; 100*02918637SMatthew G. Knepley\path 101*02918637SMatthew G. Knepley(0.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 102*02918637SMatthew G. Knepley(1.,0.) node(14_0) [draw,shape=circle,color=gray] {14} -- 103*02918637SMatthew G. Knepley(0.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 104*02918637SMatthew G. Knepley(-1.,0.) node(16_0) [draw,shape=circle,color=gray] {16} -- 105*02918637SMatthew G. Knepley(-2.,-1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 106*02918637SMatthew G. Knepley(-2.,1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 107*02918637SMatthew G. Knepley(-1.,2.) node(19_0) [draw,shape=circle,color=gray] {19} -- 108*02918637SMatthew G. Knepley(1.,2.) node(20_0) [draw,shape=circle,color=gray] {20} -- 109*02918637SMatthew G. Knepley(2.,1.) node(21_0) [draw,shape=circle,color=gray] {21} -- 110*02918637SMatthew G. Knepley(2.,-1.) node(22_0) [draw,shape=circle,color=gray] {22} -- 111*02918637SMatthew G. Knepley(1.,-2.) node(23_0) [draw,shape=circle,color=gray] {23} -- 112*02918637SMatthew G. Knepley(-1.,-2.) node(24_0) [draw,shape=circle,color=gray] {24} -- 113*02918637SMatthew G. Knepley(0,0); 114*02918637SMatthew G. Knepley\draw[color=gray] (5_0) -- (24_0) -- (12_0) -- (13_0) -- (4_0) -- (16_0) -- (9_0) -- (17_0) -- (5_0); 115*02918637SMatthew G. Knepley\draw[color=gray] (12_0) -- (23_0) -- (8_0) -- (22_0) -- (11_0) -- (14_0) -- (4_0) -- (13_0) -- (12_0); 116*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (14_0) -- (11_0) -- (21_0) -- (7_0) -- (20_0) -- (10_0) -- (15_0) -- (4_0); 117*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (16_0) -- (4_0) -- (15_0) -- (10_0) -- (19_0) -- (6_0) -- (18_0) -- (9_0); 118*02918637SMatthew G. Knepley\path (-1.,-1.) node(0_0) [] {}; 119*02918637SMatthew G. Knepley\path (1.,-1.) node(1_0) [] {}; 120*02918637SMatthew G. Knepley\path (1.,1.) node(2_0) [] {}; 121*02918637SMatthew G. Knepley\path (-1.,1.) node(3_0) [] {}; 122*02918637SMatthew G. Knepley\end{tikzpicture} 123*02918637SMatthew G. Knepley\end{document} 124*02918637SMatthew G. Knepleyquadrilateral orientation -1 125*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 126*02918637SMatthew G. Knepley 127*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 128*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 129*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 130*02918637SMatthew G. Knepley\begin{document} 131*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 132*02918637SMatthew G. Knepley\path (0.,0.) node(4_0) [draw,shape=circle,color=gray] {4}; 133*02918637SMatthew G. Knepley\path (-2.,2.) node(5_0) [draw,shape=circle,color=gray] {5}; 134*02918637SMatthew G. Knepley\path (2.,2.) node(6_0) [draw,shape=circle,color=gray] {6}; 135*02918637SMatthew G. Knepley\path (2.,-2.) node(7_0) [draw,shape=circle,color=gray] {7}; 136*02918637SMatthew G. Knepley\path (-2.,-2.) node(8_0) [draw,shape=circle,color=gray] {8}; 137*02918637SMatthew G. Knepley\path (0.,2.) node(9_0) [draw,shape=circle,color=gray] {9}; 138*02918637SMatthew G. Knepley\path (2.,0.) node(10_0) [draw,shape=circle,color=gray] {10}; 139*02918637SMatthew G. Knepley\path (0.,-2.) node(11_0) [draw,shape=circle,color=gray] {11}; 140*02918637SMatthew G. Knepley\path (-2.,0.) node(12_0) [draw,shape=circle,color=gray] {12}; 141*02918637SMatthew G. Knepley\path 142*02918637SMatthew G. Knepley(0.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 143*02918637SMatthew G. Knepley(1.,0.) node(14_0) [draw,shape=circle,color=gray] {14} -- 144*02918637SMatthew G. Knepley(0.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 145*02918637SMatthew G. Knepley(-1.,0.) node(16_0) [draw,shape=circle,color=gray] {16} -- 146*02918637SMatthew G. Knepley(-1.,2.) node(17_0) [draw,shape=circle,color=gray] {17} -- 147*02918637SMatthew G. Knepley(1.,2.) node(18_0) [draw,shape=circle,color=gray] {18} -- 148*02918637SMatthew G. Knepley(2.,1.) node(19_0) [draw,shape=circle,color=gray] {19} -- 149*02918637SMatthew G. Knepley(2.,-1.) node(20_0) [draw,shape=circle,color=gray] {20} -- 150*02918637SMatthew G. Knepley(1.,-2.) node(21_0) [draw,shape=circle,color=gray] {21} -- 151*02918637SMatthew G. Knepley(-1.,-2.) node(22_0) [draw,shape=circle,color=gray] {22} -- 152*02918637SMatthew G. Knepley(-2.,-1.) node(23_0) [draw,shape=circle,color=gray] {23} -- 153*02918637SMatthew G. Knepley(-2.,1.) node(24_0) [draw,shape=circle,color=gray] {24} -- 154*02918637SMatthew G. Knepley(0,0); 155*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (22_0) -- (11_0) -- (13_0) -- (4_0) -- (16_0) -- (12_0) -- (23_0) -- (8_0); 156*02918637SMatthew G. Knepley\draw[color=gray] (11_0) -- (21_0) -- (7_0) -- (20_0) -- (10_0) -- (14_0) -- (4_0) -- (13_0) -- (11_0); 157*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (14_0) -- (10_0) -- (19_0) -- (6_0) -- (18_0) -- (9_0) -- (15_0) -- (4_0); 158*02918637SMatthew G. Knepley\draw[color=gray] (12_0) -- (16_0) -- (4_0) -- (15_0) -- (9_0) -- (17_0) -- (5_0) -- (24_0) -- (12_0); 159*02918637SMatthew G. Knepley\path (-1.,-1.) node(0_0) [] {}; 160*02918637SMatthew G. Knepley\path (1.,-1.) node(1_0) [] {}; 161*02918637SMatthew G. Knepley\path (1.,1.) node(2_0) [] {}; 162*02918637SMatthew G. Knepley\path (-1.,1.) node(3_0) [] {}; 163*02918637SMatthew G. Knepley\end{tikzpicture} 164*02918637SMatthew G. Knepley\end{document} 165*02918637SMatthew G. Knepleyquadrilateral orientation 0 166*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 167*02918637SMatthew G. Knepley 168*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 169*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 170*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 171*02918637SMatthew G. Knepley\begin{document} 172*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 173*02918637SMatthew G. Knepley\path (0.,0.) node(4_0) [draw,shape=circle,color=gray] {4}; 174*02918637SMatthew G. Knepley\path (-2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 175*02918637SMatthew G. Knepley\path (2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6}; 176*02918637SMatthew G. Knepley\path (2.,2.) node(7_0) [draw,shape=circle,color=gray] {7}; 177*02918637SMatthew G. Knepley\path (-2.,2.) node(8_0) [draw,shape=circle,color=gray] {8}; 178*02918637SMatthew G. Knepley\path (0.,-2.) node(9_0) [draw,shape=circle,color=gray] {9}; 179*02918637SMatthew G. Knepley\path (2.,0.) node(10_0) [draw,shape=circle,color=gray] {10}; 180*02918637SMatthew G. Knepley\path (0.,2.) node(11_0) [draw,shape=circle,color=gray] {11}; 181*02918637SMatthew G. Knepley\path (-2.,0.) node(12_0) [draw,shape=circle,color=gray] {12}; 182*02918637SMatthew G. Knepley\path 183*02918637SMatthew G. Knepley(0.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 184*02918637SMatthew G. Knepley(1.,0.) node(14_0) [draw,shape=circle,color=gray] {14} -- 185*02918637SMatthew G. Knepley(0.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 186*02918637SMatthew G. Knepley(-1.,0.) node(16_0) [draw,shape=circle,color=gray] {16} -- 187*02918637SMatthew G. Knepley(-1.,-2.) node(17_0) [draw,shape=circle,color=gray] {17} -- 188*02918637SMatthew G. Knepley(1.,-2.) node(18_0) [draw,shape=circle,color=gray] {18} -- 189*02918637SMatthew G. Knepley(2.,-1.) node(19_0) [draw,shape=circle,color=gray] {19} -- 190*02918637SMatthew G. Knepley(2.,1.) node(20_0) [draw,shape=circle,color=gray] {20} -- 191*02918637SMatthew G. Knepley(1.,2.) node(21_0) [draw,shape=circle,color=gray] {21} -- 192*02918637SMatthew G. Knepley(-1.,2.) node(22_0) [draw,shape=circle,color=gray] {22} -- 193*02918637SMatthew G. Knepley(-2.,1.) node(23_0) [draw,shape=circle,color=gray] {23} -- 194*02918637SMatthew G. Knepley(-2.,-1.) node(24_0) [draw,shape=circle,color=gray] {24} -- 195*02918637SMatthew G. Knepley(0,0); 196*02918637SMatthew G. Knepley\draw[color=gray] (5_0) -- (17_0) -- (9_0) -- (13_0) -- (4_0) -- (16_0) -- (12_0) -- (24_0) -- (5_0); 197*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (18_0) -- (6_0) -- (19_0) -- (10_0) -- (14_0) -- (4_0) -- (13_0) -- (9_0); 198*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (14_0) -- (10_0) -- (20_0) -- (7_0) -- (21_0) -- (11_0) -- (15_0) -- (4_0); 199*02918637SMatthew G. Knepley\draw[color=gray] (12_0) -- (16_0) -- (4_0) -- (15_0) -- (11_0) -- (22_0) -- (8_0) -- (23_0) -- (12_0); 200*02918637SMatthew G. Knepley\path (-1.,-1.) node(0_0) [] {}; 201*02918637SMatthew G. Knepley\path (1.,-1.) node(1_0) [] {}; 202*02918637SMatthew G. Knepley\path (1.,1.) node(2_0) [] {}; 203*02918637SMatthew G. Knepley\path (-1.,1.) node(3_0) [] {}; 204*02918637SMatthew G. Knepley\end{tikzpicture} 205*02918637SMatthew G. Knepley\end{document} 206*02918637SMatthew G. Knepleyquadrilateral orientation 1 207*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 208*02918637SMatthew G. Knepley 209*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 210*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 211*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 212*02918637SMatthew G. Knepley\begin{document} 213*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 214*02918637SMatthew G. Knepley\path (0.,0.) node(4_0) [draw,shape=circle,color=gray] {4}; 215*02918637SMatthew G. Knepley\path (-2.,2.) node(5_0) [draw,shape=circle,color=gray] {5}; 216*02918637SMatthew G. Knepley\path (-2.,-2.) node(6_0) [draw,shape=circle,color=gray] {6}; 217*02918637SMatthew G. Knepley\path (2.,-2.) node(7_0) [draw,shape=circle,color=gray] {7}; 218*02918637SMatthew G. Knepley\path (2.,2.) node(8_0) [draw,shape=circle,color=gray] {8}; 219*02918637SMatthew G. Knepley\path (-2.,0.) node(9_0) [draw,shape=circle,color=gray] {9}; 220*02918637SMatthew G. Knepley\path (0.,-2.) node(10_0) [draw,shape=circle,color=gray] {10}; 221*02918637SMatthew G. Knepley\path (2.,0.) node(11_0) [draw,shape=circle,color=gray] {11}; 222*02918637SMatthew G. Knepley\path (0.,2.) node(12_0) [draw,shape=circle,color=gray] {12}; 223*02918637SMatthew G. Knepley\path 224*02918637SMatthew G. Knepley(0.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 225*02918637SMatthew G. 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Knepley(0,0); 237*02918637SMatthew G. Knepley\draw[color=gray] (6_0) -- (19_0) -- (10_0) -- (13_0) -- (4_0) -- (16_0) -- (9_0) -- (18_0) -- (6_0); 238*02918637SMatthew G. Knepley\draw[color=gray] (10_0) -- (20_0) -- (7_0) -- (21_0) -- (11_0) -- (14_0) -- (4_0) -- (13_0) -- (10_0); 239*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (14_0) -- (11_0) -- (22_0) -- (8_0) -- (23_0) -- (12_0) -- (15_0) -- (4_0); 240*02918637SMatthew G. Knepley\draw[color=gray] (9_0) -- (16_0) -- (4_0) -- (15_0) -- (12_0) -- (24_0) -- (5_0) -- (17_0) -- (9_0); 241*02918637SMatthew G. Knepley\path (-1.,-1.) node(0_0) [] {}; 242*02918637SMatthew G. Knepley\path (1.,-1.) node(1_0) [] {}; 243*02918637SMatthew G. Knepley\path (1.,1.) node(2_0) [] {}; 244*02918637SMatthew G. Knepley\path (-1.,1.) node(3_0) [] {}; 245*02918637SMatthew G. Knepley\end{tikzpicture} 246*02918637SMatthew G. Knepley\end{document} 247*02918637SMatthew G. Knepleyquadrilateral orientation 2 248*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 249*02918637SMatthew G. Knepley 250*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 251*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 252*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 253*02918637SMatthew G. Knepley\begin{document} 254*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 255*02918637SMatthew G. Knepley\path (0.,0.) node(4_0) [draw,shape=circle,color=gray] {4}; 256*02918637SMatthew G. Knepley\path (2.,2.) node(5_0) [draw,shape=circle,color=gray] {5}; 257*02918637SMatthew G. Knepley\path (-2.,2.) node(6_0) [draw,shape=circle,color=gray] {6}; 258*02918637SMatthew G. Knepley\path (-2.,-2.) node(7_0) [draw,shape=circle,color=gray] {7}; 259*02918637SMatthew G. Knepley\path (2.,-2.) node(8_0) [draw,shape=circle,color=gray] {8}; 260*02918637SMatthew G. Knepley\path (0.,2.) node(9_0) [draw,shape=circle,color=gray] {9}; 261*02918637SMatthew G. Knepley\path (-2.,0.) node(10_0) [draw,shape=circle,color=gray] {10}; 262*02918637SMatthew G. Knepley\path (0.,-2.) node(11_0) [draw,shape=circle,color=gray] {11}; 263*02918637SMatthew G. Knepley\path (2.,0.) node(12_0) [draw,shape=circle,color=gray] {12}; 264*02918637SMatthew G. Knepley\path 265*02918637SMatthew G. Knepley(0.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 266*02918637SMatthew G. Knepley(1.,0.) node(14_0) [draw,shape=circle,color=gray] {14} -- 267*02918637SMatthew G. Knepley(0.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 268*02918637SMatthew G. Knepley(-1.,0.) node(16_0) [draw,shape=circle,color=gray] {16} -- 269*02918637SMatthew G. Knepley(1.,2.) node(17_0) [draw,shape=circle,color=gray] {17} -- 270*02918637SMatthew G. Knepley(-1.,2.) node(18_0) [draw,shape=circle,color=gray] {18} -- 271*02918637SMatthew G. Knepley(-2.,1.) node(19_0) [draw,shape=circle,color=gray] {19} -- 272*02918637SMatthew G. Knepley(-2.,-1.) node(20_0) [draw,shape=circle,color=gray] {20} -- 273*02918637SMatthew G. Knepley(-1.,-2.) node(21_0) [draw,shape=circle,color=gray] {21} -- 274*02918637SMatthew G. Knepley(1.,-2.) node(22_0) [draw,shape=circle,color=gray] {22} -- 275*02918637SMatthew G. Knepley(2.,-1.) node(23_0) [draw,shape=circle,color=gray] {23} -- 276*02918637SMatthew G. Knepley(2.,1.) node(24_0) [draw,shape=circle,color=gray] {24} -- 277*02918637SMatthew G. Knepley(0,0); 278*02918637SMatthew G. Knepley\draw[color=gray] (7_0) -- (21_0) -- (11_0) -- (13_0) -- (4_0) -- (16_0) -- (10_0) -- (20_0) -- (7_0); 279*02918637SMatthew G. Knepley\draw[color=gray] (11_0) -- (22_0) -- (8_0) -- (23_0) -- (12_0) -- (14_0) -- (4_0) -- (13_0) -- (11_0); 280*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (14_0) -- (12_0) -- (24_0) -- (5_0) -- (17_0) -- (9_0) -- (15_0) -- (4_0); 281*02918637SMatthew G. Knepley\draw[color=gray] (10_0) -- (16_0) -- (4_0) -- (15_0) -- (9_0) -- (18_0) -- (6_0) -- (19_0) -- (10_0); 282*02918637SMatthew G. Knepley\path (-1.,-1.) node(0_0) [] {}; 283*02918637SMatthew G. Knepley\path (1.,-1.) node(1_0) [] {}; 284*02918637SMatthew G. Knepley\path (1.,1.) node(2_0) [] {}; 285*02918637SMatthew G. Knepley\path (-1.,1.) node(3_0) [] {}; 286*02918637SMatthew G. Knepley\end{tikzpicture} 287*02918637SMatthew G. Knepley\end{document} 288*02918637SMatthew G. Knepleyquadrilateral orientation 3 289*02918637SMatthew G. Knepley\documentclass[tikz]{standalone} 290*02918637SMatthew G. Knepley 291*02918637SMatthew G. Knepley\usepackage{pgflibraryshapes} 292*02918637SMatthew G. Knepley\usetikzlibrary{backgrounds} 293*02918637SMatthew G. Knepley\usetikzlibrary{arrows} 294*02918637SMatthew G. Knepley\begin{document} 295*02918637SMatthew G. Knepley\begin{tikzpicture}[scale = 1.,font=\fontsize{8}{8}\selectfont] 296*02918637SMatthew G. Knepley\path (0.,0.) node(4_0) [draw,shape=circle,color=gray] {4}; 297*02918637SMatthew G. Knepley\path (2.,-2.) node(5_0) [draw,shape=circle,color=gray] {5}; 298*02918637SMatthew G. Knepley\path (2.,2.) node(6_0) [draw,shape=circle,color=gray] {6}; 299*02918637SMatthew G. Knepley\path (-2.,2.) node(7_0) [draw,shape=circle,color=gray] {7}; 300*02918637SMatthew G. Knepley\path (-2.,-2.) node(8_0) [draw,shape=circle,color=gray] {8}; 301*02918637SMatthew G. Knepley\path (2.,0.) node(9_0) [draw,shape=circle,color=gray] {9}; 302*02918637SMatthew G. Knepley\path (0.,2.) node(10_0) [draw,shape=circle,color=gray] {10}; 303*02918637SMatthew G. Knepley\path (-2.,0.) node(11_0) [draw,shape=circle,color=gray] {11}; 304*02918637SMatthew G. Knepley\path (0.,-2.) node(12_0) [draw,shape=circle,color=gray] {12}; 305*02918637SMatthew G. Knepley\path 306*02918637SMatthew G. Knepley(0.,-1.) node(13_0) [draw,shape=circle,color=gray] {13} -- 307*02918637SMatthew G. Knepley(1.,0.) node(14_0) [draw,shape=circle,color=gray] {14} -- 308*02918637SMatthew G. Knepley(0.,1.) node(15_0) [draw,shape=circle,color=gray] {15} -- 309*02918637SMatthew G. Knepley(-1.,0.) node(16_0) [draw,shape=circle,color=gray] {16} -- 310*02918637SMatthew G. Knepley(2.,-1.) node(17_0) [draw,shape=circle,color=gray] {17} -- 311*02918637SMatthew G. Knepley(2.,1.) node(18_0) [draw,shape=circle,color=gray] {18} -- 312*02918637SMatthew G. Knepley(1.,2.) node(19_0) [draw,shape=circle,color=gray] {19} -- 313*02918637SMatthew G. Knepley(-1.,2.) node(20_0) [draw,shape=circle,color=gray] {20} -- 314*02918637SMatthew G. Knepley(-2.,1.) node(21_0) [draw,shape=circle,color=gray] {21} -- 315*02918637SMatthew G. Knepley(-2.,-1.) node(22_0) [draw,shape=circle,color=gray] {22} -- 316*02918637SMatthew G. Knepley(-1.,-2.) node(23_0) [draw,shape=circle,color=gray] {23} -- 317*02918637SMatthew G. Knepley(1.,-2.) node(24_0) [draw,shape=circle,color=gray] {24} -- 318*02918637SMatthew G. Knepley(0,0); 319*02918637SMatthew G. Knepley\draw[color=gray] (8_0) -- (23_0) -- (12_0) -- (13_0) -- (4_0) -- (16_0) -- (11_0) -- (22_0) -- (8_0); 320*02918637SMatthew G. Knepley\draw[color=gray] (12_0) -- (24_0) -- (5_0) -- (17_0) -- (9_0) -- (14_0) -- (4_0) -- (13_0) -- (12_0); 321*02918637SMatthew G. Knepley\draw[color=gray] (4_0) -- (14_0) -- (9_0) -- (18_0) -- (6_0) -- (19_0) -- (10_0) -- (15_0) -- (4_0); 322*02918637SMatthew G. Knepley\draw[color=gray] (11_0) -- (16_0) -- (4_0) -- (15_0) -- (10_0) -- (20_0) -- (7_0) -- (21_0) -- (11_0); 323*02918637SMatthew G. Knepley\path (-1.,-1.) node(0_0) [] {}; 324*02918637SMatthew G. Knepley\path (1.,-1.) node(1_0) [] {}; 325*02918637SMatthew G. Knepley\path (1.,1.) node(2_0) [] {}; 326*02918637SMatthew G. Knepley\path (-1.,1.) node(3_0) [] {}; 327*02918637SMatthew G. Knepley\end{tikzpicture} 328*02918637SMatthew G. Knepley\end{document} 329