I want to label each vertices of Fano hypergraph with v1,v2, . . . ,v7 but I don't know how to label its Fano hypergraph. This is what I have done :
\newcommand\FanoPlane[1][1cm]{%
\begin{tikzpicture}[
mydot/.style={
draw,
circle,
fill=black,
inner sep=3pt}
]
\draw
(0,0) coordinate (A) --
(#1,0) coordinate (B) --
($ (A)!.5!(B) ! {sin(60)*2} ! 90:(B) $) coordinate (C) -- cycle;
\coordinate (O) at
(barycentric cs:A=1,B=1,C=1);
\draw (O) circle [radius=#1*1.717/6];
\draw (C) -- ($ (A)!.5!(B) $) coordinate (LC);
\draw (A) -- ($ (B)!.5!(C) $) coordinate (LA);
\draw (B) -- ($ (C)!.5!(A) $) coordinate (LB);
\foreach \Nodo in {A,B,C,O,LC,LA,LB}
\node[mydot] at (\Nodo) {};
\end{tikzpicture}%
}
\begin{figure}[H]
\centering
\quad\FanoPlane[5cm]
\caption{An example of a hypergraph, with $X= \{ v_1, v_2, ..., v_7 \}$} and $E= \{e_1, e_2, . . ., e_7 \}= \{ \{v_1,v_2,v_3\}, \{v_1,v_4,v_5\}, \{v_1,v_6,v_7\}, \{v_2,v_4,v_6\}, \{v_2,v_5,v_7\},\{v_3,v_4,v_7\}, \{v_3,v_5, v_6\}\}$ \label{fig:figurelabel}
\end{figure}
