diff --git a/report.tex b/report.tex
index f97edfb..756d3bf 100644
--- a/report.tex
+++ b/report.tex
@@ -240,43 +240,48 @@
   \begin{frame}{Searching for a first order Z4c}{Why Z4c?}
     \section{Searching for a first order Z4c}
     \subsection{Why Z4c?}
-    \begin{tikzpicture}[
-  >=Latex,
-  node distance=8mm and 10mm,
-  every node/.style={font=\small},
-  sys/.style={
-    draw,
-    rounded corners,
-    align=center,
-    minimum width=15mm,
-    minimum height=7mm,
-    inner sep=2pt
-  },
-  std/.style={sys, fill=blue!8},
-  fo/.style={sys, fill=red!10, very thick},
-  rel/.style={->, thick},
-  weak/.style={->, semithick, dashed}
-]
+    Let's look at the relationship between different formulations of Einstein's equations:
+    \begin{figure}
+      \centering
+      \begin{tikzpicture}[
+        >=Latex,
+        node distance=8mm and 10mm,
+        every node/.style={font=\small},
+        sys/.style={
+          draw,
+          rounded corners,
+          align=center,
+          minimum width=15mm,
+          minimum height=7mm,
+          inner sep=2pt
+        },
+        std/.style={sys, fill=blue!8},
+        fo/.style={sys, fill=red!10, very thick},
+        rel/.style={->, thick},
+        weak/.style={->, semithick, dashed}
+        equv/.style={<->, thick}
+      ]
 
-\node[std] (bssn) {BSSN};
-\node[std, right=of bssn] (z4) {Z4};
-\node[std, right=of z4] (z4c) {Z4c};
-\node[std, right=of z4c] (ccz4) {CCZ4};
+      \node[std] (bssn) {BSSN};
+      \node[std, right=of bssn] (z4) {Z4};
+      \node[std, right=of z4] (z4c) {Z4c};
+      \node[std, right=of z4c] (ccz4) {CCZ4};
 
-\node[fo, below=10mm of bssn] (fobssn) {FOBSSN};
-\node[fo, below=10mm of z4c] (gh) {GH};
-\node[fo, below=10mm of ccz4] (foccz4) {FOCCZ4};
+      % \node[fo, below=10mm of bssn] (fobssn) {FOBSSN};
+      \node[fo, below=10mm of z4] (gh) {GH};
+      % \node[fo, below=10mm of ccz4] (foccz4) {FOCCZ4};
 
-\draw[rel] (z4) -- (z4c);
-\draw[rel] (z4) to[bend left=18] (ccz4);
-\draw[weak] (bssn) -- (z4c);
+      \draw[rel] (z4) -- (z4c);
+      \draw[rel] (z4) to[bend left=18] (ccz4);
+      \draw[weak] (bssn) -- (z4c);
 
-\draw[rel] (bssn) -- (fobssn);
-\draw[rel] (ccz4) -- (foccz4);
-\draw[weak] (z4) -- (gh);
+      % \draw[rel] (bssn) -- (fobssn);
+      % \draw[rel] (ccz4) -- (foccz4);
+      \draw[rel] (z4) -- (gh);
 
-\node[draw=none, above=1mm of gh, font=\scriptsize] {full first order};
-\end{tikzpicture}
+      % \node[draw=none, above=1mm of gh, font=\scriptsize] {full first order};
+      \end{tikzpicture}
+    \end{figure}
   \end{frame}
 
   \begin{frame}{Searching for a first order Z4c}{Hyperbolicity of first order systems}