The McGee graph

\documentclass{article}
\usepackage{tikz}
\pagestyle{empty}

\begin{document}
\begin{center}
\begin{tikzpicture}[style=thick]
\foreach \x in {0,15,...,345}
{
\draw (\x:3cm) circle (2pt) -- (\x+15:3cm);
}
\foreach \x in {0,45,...,135}
{
\draw (\x:3cm) circle (2pt) -- (\x+180:3cm);
}
\foreach \x in {15,60,...,330}
{
\draw (\x:3cm) circle (2pt) -- (\x+105:3cm);
}
\end{tikzpicture}
\end{center}
\end{document}