tags: ,

The following is the Cayley graph $\Gamma(G,S)$, where $G$ is the additive group of the vector space $V=F^2$ (where $F=\{0,1,2\}$ is the field of three elements), and $S=\{(1,0),(2,0),(0,1),(0,2)\}$.

\begin{tikzpicture}
\tikzset{VertexStyle/.style={draw,rectangle}}
\grEmptyCycle*[rotation=90,prefix=a,RA=2,Math]{{(1,2)},{(0,0)},{(2,1)}}
\grEmptyCycle*[rotation=90,prefix=b,RA=4.5,Math]{(2,0),(1,0),(1,1),(0,1),(0,2),(2,2)}
\EdgeInGraphLoop{b}{6}
\SetUpEdge[style={bend right=10}]
\EdgeDoubleMod{a}{3}{0}{1}{b}{6}{1}{2}{3}
\EdgeDoubleMod{a}{3}{0}{1}{b}{6}{2}{2}{3}
\SetUpEdge[style={bend left=10}]
\EdgeDoubleMod{a}{3}{0}{1}{b}{6}{4}{2}{3}
\EdgeDoubleMod{a}{3}{0}{1}{b}{6}{5}{2}{3}
\end{tikzpicture}