riemann_log_poor

	       \begin{tikzpicture}[scale=5]
		\draw plot [smooth cycle]
		coordinates{
		(1,-0.1) (1,1) (-1,1) (-1,-1) (1,-1) (1,0.1) (0.5,0) 
		(0.5,-0.5) (-0.5,-0.5) (-0.5,0.5) (0.5,0.5) (0.5,0)
		};
	       \end{tikzpicture}
	       \begin{tikzpicture}[xshift=2cm]
		\draw (0,0) -- (2,0);
		\begin{scope}[xshift=2cm]
		 \draw[blue] (0:2cm)+(0,0.5) circle (0.1cm);
		 \draw[blue] (0:2cm)+(0,-0.5) circle (0.1cm);		 
		 \foreach \x in {30,60,...,360}
		 \draw (\x:1cm) circle (0.1cm);
		 \foreach \x in {360,330,...,30}
		 \draw[red] (\x:3cm) circle (0.1cm);

		 % \draw plot [smooth cycle]
		 % coordinates{
		 % (0:2cm)+(0,-0.5)
		 % \foreach \x in {0,30,60,...,360}
		 % (\x:3cm)
		 % (0:2cm)+(0,0.5)
		 % \foreach \x in {360,330,...,0}
		 % (\x:1cm)
		 % (0:2cm)+(0,-0.5)		 
		 % };
		\end{scope}
	       \end{tikzpicture}