\begin{tikzpicture}[x=1cm,y=1cm]
\foreach \step in {0,1,2,3}{
  \pgfmathsetmacro{\xoffset}{3.35*\step}
  \begin{scope}[shift={(\xoffset,0)}]
    \foreach \j in {0,...,5}
      \coordinate (v\j) at ({60*\j}:1);
    \ifcase\step
      \fill[foldblue!8] (v1)--(v0)--(v5)--(v4)--cycle;
      \def\markedlist{0}\def\wallangle{60}\def\edgecount{1}
    \or
      \fill[foldblue!8] (v0)--(v1)--(v2)--(v3)--cycle;
      \def\markedlist{0,1}\def\wallangle{0}\def\edgecount{2}
    \or
      \fill[foldblue!8] (v2)--(v1)--(v0)--(v5)--cycle;
      \def\markedlist{0,1,4,5}\def\wallangle{120}\def\edgecount{4}
    \or
      \def\markedlist{0,1,2,3,4,5}\def\edgecount{6}
    \fi
    \ifnum\step<3
      \draw[mirror] (\wallangle:1.34)--({180+\wallangle}:1.34);
    \fi
    \foreach \j in {0,...,5}{
      \pgfmathtruncatemacro{\nextj}{mod(\j+1,6)}
      \draw[fold edge] (v\j)--(v\nextj);
    }
    \foreach \j in \markedlist{
      \pgfmathtruncatemacro{\nextj}{mod(\j+1,6)}
      \draw[marked edge] (v\j)--(v\nextj);
    }
    \foreach \j in {0,...,5}{
      \ifodd\j
        \node[part B] at (v\j) {};
      \else
        \node[part A] at (v\j) {};
      \fi
      \node[font=\scriptsize,fill=white,inner sep=1pt]
        at ({60*\j}:1.18) {$\j$};
    }
    \node[font=\small,text=foldorange] at (0,-1.6)
      {$\edgecount$ marked \ifnum\edgecount=1 edge\else edges\fi};
  \end{scope}
}
\foreach \j in {1,2,3}{
  \pgfmathsetmacro{\xarrow}{3.35*(\j-1)+1.47}
  \draw[diagram arrow] (\xarrow,0)--({\xarrow+.41},0);
}
\end{tikzpicture}