The unique smallest cubic graph of girth 8. Drawn from Algebraic Graph Theory by Godsil and Royle, p.72.

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

\begin{document}\begin{tikzpicture}[style=thick] \foreach \x in {0,36,...,324} { \draw (\x:2cm) circle (2pt) -- (\x+144:2cm); \draw (\x-10:3cm) circle (2pt) -- (\x+5:4cm); \draw (\x-10:3cm) circle (2pt) -- (\x+36:2cm); \draw (\x-10:3cm) circle (2pt) -- (\x+170:3cm); \draw (\x+5:4cm) circle (2pt) -- (\x+41:4cm); }\end{tikzpicture}\end{document}

See also: Original Source by Rafael

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