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\documentclass[11pt]{article}
\usepackage{geometry} % See geometry.pdf to learn the layout options. There are lots.
\geometry{letterpaper} % ... or a4paper or a5paper or ...
%\geometry{landscape} % Activate for for rotated page geometry
%\usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent
\usepackage{graphicx}
\usepackage{amssymb,amsmath}
\usepackage{epstopdf}
\usepackage{pgf}
\usepackage{pgfpages}
\usepackage{tikz}
\usetikzlibrary{arrows,backgrounds}
\usepgflibrary{shapes}
\DeclareGraphicsRule{.tif}{png}{.png}{`convert #1 `dirname #1`/`basename #1 .tif`.png}
\pagestyle{empty}
\begin{document}
% Tetrahedron Node Numbering
\begin{center}
\begin{tikzpicture}[join=round] % tet with 4 nodes
\filldraw[fill=black!20](1.748,.561)--(-2.205,.272)--(.456,-.833)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(-2.205,.272)--(1.748,.561)--(0,2.6)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(1.748,.561)--(.456,-.833)--(0,2.6)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(.456,-.833)--(-2.205,.272)--(0,2.6)--cycle;
\filldraw(1.748,.561) circle (2pt);
\filldraw(-2.205,.272) circle (2pt);
\filldraw(0,2.6) circle (2pt);
\filldraw(.456,-.833) circle (2pt);
\fill[black]
(-2.205,.272) node [left] {0}
(.456,-.833) node [below] {1}
(1.748,.561) node [right] {2}
(0,2.6) node [above] {3};
\end{tikzpicture}
\hspace{1cm}
\begin{tikzpicture}[join=round] % tet with 8 nodes
\filldraw[fill=black!20](1.748,.561)--(-2.205,.272)--(.456,-.833)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(-2.205,.272)--(1.748,.561)--(0,2.6)--cycle;
\filldraw(0,0) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(1.748,.561)--(.456,-.833)--(0,2.6)--cycle;
\filldraw(-.152,1.144) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(.456,-.833)--(-2.205,.272)--(0,2.6)--cycle;
\filldraw(1.748,.561) circle (2pt);
\filldraw(.735,.776) circle (2pt);
\filldraw(-2.205,.272) circle (2pt);
\filldraw(-.583,.68) circle (2pt);
\filldraw(0,2.6) circle (2pt);
\filldraw(.456,-.833) circle (2pt);
\fill[black,font=\footnotesize]
(-2.205,.272) node [left] {0}
(.456,-.833) node [below] {1}
(1.748,.561) node [right] {2}
(0,2.6) node [above] {3}
(-.583,.68) node [left] {4}
(.735,.776) node [right] {5}
(-.152,1.144) node [above] {7}
(0,0) node [above] {6};
\end{tikzpicture}
\end{center}
\begin{center} {(a) \hspace{5cm} (b)} \end{center}
\begin{center}
\begin{tikzpicture}[join=round]% tet with 10 nodes
\filldraw[fill=black!20](1.748,.561)--(-2.205,.272)--(.456,-.833)--cycle;
\filldraw(1.748,.561) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(-2.205,.272)--(1.748,.561)--(0,2.6)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(1.748,.561)--(.456,-.833)--(0,2.6)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(.456,-.833)--(-2.205,.272)--(0,2.6)--cycle;
\filldraw(-.228,.417) circle (2pt);
\filldraw(-2.205,.272) circle (2pt);
\filldraw(.874,1.581) circle (2pt);
\filldraw(-1.102,1.436) circle (2pt);
\filldraw(1.102,-.136) circle (2pt);
\filldraw(-.874,-.281) circle (2pt);
\filldraw(0,2.6) circle (2pt);
\filldraw(.228,.883) circle (2pt);
\filldraw(.456,-.833) circle (2pt);
\fill[black,font=\footnotesize]
(-2.205,.272) node [left] {0}
(.456,-.833) node [below] {1}
(1.748,.561) node [right] {2}
(0,2.6) node [above] {3}
(-.874,-.281) node [below] {4}
(1.102,-.136) node [below] {5}
(-.228,.417) node [above] {6}
(-1.102,1.436) node [left] {7}
(.228,.883) node [left] {8}
(.874,1.581) node [right] {9};
\end{tikzpicture}
\end{center}
\begin{center}
(c)
\end{center}
\end{document}
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