\documentclass{article}
\usepackage[paperwidth=10cm,paperheight=10cm,scale=.97]{geometry}
\usepackage{brunnian}

\begin{document}
\begin{center}
\begin{tikzpicture}
\foreach \brk in {1,2,3} {
\begin{scope}[rotate=\brk * 120 - 120]
\colorlet{chain}{ring\brk}
\brunnianlink{2.5}{120}
\end{scope}
}
\end{tikzpicture}
\end{center}
\end{document}