\begin{tikzpicture}[scale=.7, baseline=0]
\begin{pgfonlayer}{background}	
	\draw (5,0) arc (0:180:2cm);
%	\draw (4.8,0) arc (0:180:1.8cm);
%	\draw (5.2,0) arc (0:180:2.2cm);
%	\draw (5.4,0) arc (0:180:2.4cm);		
	
	\draw[line width=4pt,white,opaque] (2,0) arc (0:90:2cm);
%	\draw[line width=4pt,white,opaque] (1.8,0) arc (0:90:1.8cm);
%	\draw[line width=4pt,white,opaque] (2.2,0) arc (0:90:2.2cm);
%	\draw[line width=4pt,white,opaque] (2.4,0) arc (0:90:2.4cm);
	
	\draw (2,0) arc (0:180:2cm);
%	\draw (1.8,0) arc (0:180:1.8cm);
%	\draw (2.2,0) arc (0:180:2.2cm);
%	\draw (2.4,0) arc (0:180:2.4cm);
		
	
	\draw[<-] (2,0) arc (0:-180:2cm);
%	\draw (1.8,0) arc (0:-180:1.8cm);
%	\draw (2.2,0) arc (0:-180:2.2cm);
%	\draw (2.4,0) arc (0:-180:2.4cm);
	
	\draw[line width=4pt,white,opaque] (1,0) arc (-180:-90:2cm);
%	\draw[line width=4pt,white,opaque] (1.2,0) arc (-180:-90:1.8cm);
%	\draw[line width=4pt,white,opaque] (0.8,0) arc (-180:-90:2.2cm);
%	\draw[line width=4pt,white,opaque] (0.6,0) arc (-180:-90:2.4cm);
			
	\draw(5,0) arc (0:-180:2cm);
%	\draw (4.8,0) arc (0:-180:1.8cm);
%	\draw (5.2,0) arc (0:-180:2.2cm);	
%	\draw (5.4,0) arc (0:-180:2.4cm);	

	\draw (2,0) -- (2.2,-.2);
	\draw (2,0) -- (1.8,-.2);
	\draw (1,0) -- (1.2,-.2);
	\draw (1,0) -- (0.8,-.2);



\end{pgfonlayer}
\end{tikzpicture}
$\mapsto$
\begin{tikzpicture}[scale=1, baseline=0]
%	\node at (-2.1,0) [rectangle,draw, fill=white] {$\; P \;$};
	\node at (.9,0) [rectangle,draw, fill=white] {$\; P \;$};
	\node at (2.1,0)  [rectangle,draw, fill=white]  {$\; P \;$};
%	\node at (5.1,0)  [rectangle,draw, fill=white]  {$\; P \;$};

\begin{pgfonlayer}{background}	
	\draw (5,0) arc (0:180:2cm);
	\draw (4.8,0) arc (0:180:1.8cm);
	\draw (5.2,0) arc (0:180:2.2cm);
	\draw (5.4,0) arc (0:180:2.4cm);	
	
	\draw[line width=4pt,white,opaque] (2,0) arc (0:90:2cm);
	\draw[line width=4pt,white,opaque] (1.8,0) arc (0:90:1.8cm);
	\draw[line width=4pt,white,opaque] (2.2,0) arc (0:90:2.2cm);
	\draw[line width=4pt,white,opaque] (2.4,0) arc (0:90:2.4cm);
	
	\draw (2,0) arc (0:180:2cm);
	\draw (1.8,0) arc (0:180:1.8cm);
	\draw (2.2,0) arc (0:180:2.2cm);
	\draw (2.4,0) arc (0:180:2.4cm);		
	
	\draw (2,0) arc (0:-180:2cm);
	\draw (1.8,0) arc (0:-180:1.8cm);
	\draw (2.2,0) arc (0:-180:2.2cm);
	\draw (2.4,0) arc (0:-180:2.4cm);
	
	\draw[line width=4pt,white,opaque] (1,0) arc (-180:-90:2cm);
	\draw[line width=4pt,white,opaque] (1.2,0) arc (-180:-90:1.8cm);
	\draw[line width=4pt,white,opaque] (0.8,0) arc (-180:-90:2.2cm);
	\draw[line width=4pt,white,opaque] (0.6,0) arc (-180:-90:2.4cm);
			
	\draw (5,0) arc (0:-180:2cm);
	\draw (4.8,0) arc (0:-180:1.8cm);
	\draw (5.2,0) arc (0:-180:2.2cm);	
	\draw (5.4,0) arc (0:-180:2.4cm);	

\end{pgfonlayer}

\end{tikzpicture}