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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}
\begin{center}
\begin{tikzpicture}[join=round] % pyramid with 5 nodes
\filldraw[fill=black!20](2.282,.167)--(-.456,.833)--(-2.282,-.167)--(.456,-.833)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(-2.282,-.167)--(-.456,.833)--(0,2.6)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(-.456,.833)--(2.282,.167)--(0,2.6)--cycle;
\filldraw(-.456,.833) circle (2pt);
\filldraw(2.282,.167) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(2.282,.167)--(.456,-.833)--(0,2.6)--cycle;
\filldraw(-2.282,-.167) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(.456,-.833)--(-2.282,-.167)--(0,2.6)--cycle;
\filldraw(0,2.6) circle (2pt);
\filldraw(.456,-.833) circle (2pt);
\fill[black]
(-2.282,-.167) node [left] {0}
(.456,-.833) node [below] {1}
(2.282,.167) node [right] {2}
(-.456,.833) node [below] {3}
(0,2.6) node [above] {4};
\end{tikzpicture}
\hspace{1cm}
\begin{tikzpicture}[join=round] % pyramid with 13 nodes
\filldraw(-.456,.833) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(-.456,.833)--(2.282,.167)--(0,2.6)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(-2.282,-.167)--(-.456,.833)--(0,2.6)--cycle;
\filldraw[fill=black!20](2.282,.167)--(-.456,.833)--(-2.282,-.167)--(.456,-.833)--cycle;
\filldraw(.913,.5) circle (2pt);
\filldraw(-1.369,.333) circle (2pt);
\filldraw(-.228,1.717) circle (2pt);
\filldraw(2.282,.167) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(2.282,.167)--(.456,-.833)--(0,2.6)--cycle;
\filldraw(1.141,1.383) circle (2pt);
\filldraw(-2.282,-.167) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(.456,-.833)--(-2.282,-.167)--(0,2.6)--cycle;
\filldraw(-1.141,1.217) circle (2pt);
\filldraw(1.369,-.333) circle (2pt);
\filldraw(0,2.6) circle (2pt);
\filldraw(-.913,-.5) circle (2pt);
\filldraw(.228,.883) circle (2pt);
\filldraw(.456,-.833) circle (2pt);
\fill[black,font=\footnotesize]
(-2.282,-.167) node [left] {0}
(.456,-.833) node [below] {1}
(2.282,.167) node [right] {2}
(-.456,.833) node [below] {3}
(0,2.6) node [above] {4}
(-.913,-.5) node [above] {5}
(1.369,-.333) node [above] {6}
(.913,.5) node [above] {7}
(-1.369,.333) node [above] {8}
(-1.141,1.217) node [above] {9}
(.228,.883) node [above] {10}
(1.141,1.383) node [above] {11}
(-.228,1.717) node [above] {12};
\end{tikzpicture}
\end{center}
\begin{center}{(a) \hspace{5cm} (b)} \end{center}
\begin{center}
\begin{tikzpicture}[join=round] %pyramid with 14 nodes
\filldraw(-.456,.833) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(-.456,.833)--(2.282,.167)--(0,2.6)--cycle;
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(-2.282,-.167)--(-.456,.833)--(0,2.6)--cycle;
\filldraw[fill=black!10](2.282,.167)--(-.456,.833)--(-2.282,-.167)--(.456,-.833)--cycle;
\filldraw(.913,.5) circle (2pt);
\filldraw(-1.369,.333) circle (2pt);
\filldraw(-.228,1.717) circle (2pt);
\filldraw(2.282,.167) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(2.282,.167)--(.456,-.833)--(0,2.6)--cycle;
\filldraw(0,0) circle (2pt);
\filldraw(1.141,1.383) circle (2pt);
\filldraw(-2.282,-.167) circle (2pt);
\filldraw[fill=blue!10,fill opacity=0.4](0,2.6)--(.456,-.833)--(-2.282,-.167)--(0,2.6)--cycle;
\filldraw(-1.141,1.217) circle (2pt);
\filldraw(1.369,-.333) circle (2pt);
\filldraw(0,2.6) circle (2pt);
\filldraw(-.913,-.5) circle (2pt);
\filldraw(.228,.883) circle (2pt);
\filldraw(.456,-.833) circle (2pt);
\fill[black,font=\footnotesize]
(-2.282,-.167) node [left] {0}
(.456,-.833) node [below] {1}
(2.282,.167) node [right] {2}
(-.456,.833) node [above] {3}
(0,2.6) node [above] {4}
(-.913,-.5) node [above] {5}
(1.369,-.333) node [above] {6}
(.913,.5) node [above] {7}
(-1.369,.333) node [above] {8}
(-1.141,1.217) node [above] {9}
(.228,.883) node [above] {10}
(1.141,1.383) node [above] {11}
(-.228,1.717) node [above] {12}
(0,0) node [above] {13};
\end{tikzpicture}
\end{center}
\begin{center}
(c)
\end{center}
\end{document}
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