\begin{tikzpicture}[x=1cm,y=1cm]
\begin{scope}
  \coordinate (T) at (0,1.7);
  \coordinate (L) at (-1.47224,-.85);
  \coordinate (R) at (1.47224,-.85);
  \coordinate (ML) at (-.73612,.425);
  \coordinate (MR) at (.73612,.425);
  \coordinate (MB) at (0,-.85);
  \coordinate (O) at (0,0);
  \draw[fold edge] (T)--(L)--(R)--cycle;
  \draw[fold edge] (T)--(MB) (L)--(MR) (R)--(ML);
  \draw[fold edge] (0,0) circle[radius=.85];
  \draw[marked edge] (T)--(L);
  \foreach \v in {T,L,R,ML,MR,MB,O}
    \node[part A,minimum size=5pt] at (\v) {};
  \node[font=\small,text=foldorange,anchor=east] at (-1.2,.86) {$V_0$};
  \node[font=\small,anchor=south] at (0,1.79) {$A$};
  \node[font=\small,anchor=east] at (-.85,.38) {$B$};
  \node[diagram label] at (0,2.35) {Fano plane};
  \node[font=\small] at (0,-1.38) {$2$-$(7,3,1)$};
  \node[font=\small,text=foldorange] at (0,-1.88) {not cut-percolating};
\end{scope}
\begin{scope}[shift={(6.55,-.48)}]
  \foreach \i in {0,1}
    \foreach \j in {0,1}
      \foreach \k in {0,1}
        \coordinate (q\i\j\k) at ({1.5*\i+.64*\k},{1.5*\j+.64*\k});
  \foreach \j in {0,1}
    \foreach \k in {0,1}
      \draw[fold edge] (q0\j\k)--(q1\j\k);
  \foreach \i in {0,1}
    \foreach \k in {0,1}
      \draw[fold edge] (q\i0\k)--(q\i1\k);
  \foreach \i in {0,1}
    \foreach \j in {0,1}
      \draw[fold edge] (q\i\j0)--(q\i\j1);
  \draw[marked edge] (q111)--(q011) (q111)--(q101) (q111)--(q110);
  \foreach \i in {0,1}
    \foreach \j in {0,1}
      \foreach \k in {0,1}{
        \pgfmathtruncatemacro{\parity}{mod(\i+\j+\k,2)}
        \ifnum\parity=0
          \node[part A,minimum size=5pt] at (q\i\j\k) {};
        \else
          \node[part B,minimum size=5pt] at (q\i\j\k) {};
        \fi
      }
  \node[font=\small,text=foldorange,anchor=south west] at (2.18,2.18) {$V_0$};
  \node[font=\small,anchor=south east] at (.57,2.18) {$A$};
  \node[font=\small,anchor=west] at (2.25,.64) {$B$};
  \node[diagram label] at (1.07,2.83) {Complete design};
  \node[font=\small] at (1.07,-.9) {$2$-$(4,3,2)$};
  \node[font=\small,text=foldgreen] at (1.07,-1.4) {cut-percolating};
\end{scope}
\end{tikzpicture}