--- a/sandbox.tex	Mon Dec 12 19:26:57 2011 -0800
+++ b/sandbox.tex	Mon Dec 12 21:05:33 2011 -0800
@@ -11,18 +11,6 @@
 
 \newcommand{\vertex}{node[circle,fill=black,inner sep=1pt] {}}
 
-\begin{tikzpicture}
-\coordinate (P) at (0,0);
-\coordinate (Q) at (3,0);
-\coordinate (R) at (1.5,-0.5);
-\draw (P) \vertex to[out=40,in=140] node[above] {$a$} (Q) \vertex -- node[below] {\scriptsize $y \times I$} (R) \vertex to[out=-180,in=-40] node[below] {$a$} (P);
-\clip (P) to[out=40,in=140] (Q) -- (R) to[out=-180,in=-40] (P);
-\foreach \x in {1,...,9} {
-	\path (P) to[out=40,in=140] node[pos=\x/10] (PQ\x) {} (Q);
-	\path (P) to[out=-40,in=-180] node[pos=\x/10] (PR\x) {} (R);
-	\draw[green!50!brown] (PQ\x.center) -- (PR\x.center);
-}
-\end{tikzpicture}
 
 \begin{tikzpicture}
 \node[circle,fill=black,inner sep=1pt] (A) at (1.73,0) {};
@@ -48,7 +36,21 @@
 \begin{scope}
 \path[clip] (0,1) circle (2);
 \path[clip] (0,-1) circle (2);
-
+\foreach \n in {1,...,6} {
+	\path (B) to[out=0,in=-180] node[coordinate,pos=\n/6] (BC\n) {} (C);
+	\draw[green!50!brown] (BC\n) -- +(0,1);
+	\draw[green!50!brown] (BC\n) -- +(-1.5,-1);
+}
+\foreach \n in {0,...,6} {
+	\path (C) to[out=0,in=-180] node[coordinate,pos=\n/6] (CD\n) {} (D);
+	\path (L1) to[out=-30,in=-180] node[coordinate,pos=\n/6] (L1L2\n) {} (L2);
+	\draw[blue] (CD\n) -- (L1L2\n);
+}
+\foreach \n in {0,...,6} {
+	\path (L1) to[out=40,in=-140] node[coordinate,pos=\n/6] (L1C\n) {} (C);
+	\path (L2) to[out=50,in=-130] node[coordinate,pos=\n/6] (L2D\n) {} (D);
+	\draw[blue] (L1C\n) -- (L2D\n);
+}
 \end{scope}
 \end{tikzpicture}
 \end{document}