--- a/text/appendixes/comparing_defs.tex Wed Jul 28 13:39:52 2010 -0700
+++ b/text/appendixes/comparing_defs.tex Fri Jul 30 14:19:11 2010 -0700
@@ -163,6 +163,7 @@
\begin{tikzpicture}
\newcommand{\rr}{6}
\newcommand{\vertex}{node[circle,fill=black,inner sep=1pt] {}}
+\newcommand{\namedvertex}[1]{node[circle,fill=black,inner sep=1pt] (#1) {}}
\node(A) at (0,0) {
\begin{tikzpicture}
@@ -184,11 +185,15 @@
\node[red,left] at (0,0) {$y$};
\draw (0,0) \vertex
arc (120:105:\rr) node[red,above] {$a$}
- arc (105:90:\rr) node[red,above] {$x$} \vertex
- arc (90:75:\rr) node[red,above] {$x \times I$}
- arc (75:60:\rr) \vertex node[red,right] {$x$}
- arc (-60:-90:\rr) node[red,below] {$a$}
- arc (-90:-120:\rr);
+ arc (105:90:\rr) node[red,above] {$x$} \namedvertex{x1};
+% arc (90:75:\rr) node[red,above] {$x \times I$};
+% arc (75:60:\rr) \vertex node[red,right] {$x$}
+% arc (-60:-90:\rr) node[red,below] {$a$}
+% arc (-90:-120:\rr);
+\draw (0,0)
+ arc (-120:-90:\rr) node[red,below] {$a$}
+ arc (-90:-61:\rr) \namedvertex{x2} node[red,right] {$x$};
+\draw (x1) -- node[red, above=3pt] {$x \times I$} (x2);
\begin{scope}
\path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr);
\foreach \x in {0,0.48,...,9} {
@@ -203,11 +208,15 @@
\node[red,left] at (0,0) {$y$};
\draw (0,0) \vertex
arc (120:105:\rr) node[red,below] {$a$}
- arc (105:90:\rr) node[red,below] {$x$} \vertex
- arc (90:75:\rr) node[red,below] {$x \times I$}
- arc (75:60:\rr) \vertex node[red,right] {$x$}
- arc (-60:-90:\rr) node[red,above] {$a$}
- arc (-90:-120:\rr);
+ arc (105:90:\rr) node[red,below] {$x$} \namedvertex{x1};
+% arc (90:75:\rr) node[red,below] {$x \times I$}
+% arc (75:60:\rr) \vertex node[red,right] {$x$}
+% arc (-60:-90:\rr) node[red,above] {$a$}
+% arc (-90:-120:\rr);
+\draw (0,0)
+ arc (-120:-90:\rr) node[red,above] {$a$}
+ arc (-90:-61:\rr) \namedvertex{x2} node[red,right] {$x$};
+\draw (x1) -- node[red, below=3pt] {$x \times I$} (x2);
\begin{scope}
\path[clip] (0,0) arc (-120:-60:\rr) arc (60:120:\rr);
\foreach \x in {0,0.48,...,9} {