diff --git a/main.tex b/main.tex
index 9c0150c..fac78b8 100644
--- a/main.tex
+++ b/main.tex
@@ -77,14 +77,14 @@ code-for-last-col = \color{blue}
 	\begin{figure}[H]
 		\centering
 		\includegraphics[width=0.5\linewidth]{mug-neighbourhoods.png}
-		\caption{The prototypical example of a manifold -- a mug. Image source: [13]}
+		\caption{The prototypical example of a manifold a mug. Image source: [13]}
 		\label{fig:mug-neighbourhoods}
 	\end{figure}
 
 	\begin{figure}[H]
 		\centering
 		%$ \captionsetup{width=.75\linewidth}
-		\includegraphics[width=0.27\linewidth]{Contractible loops.png}
+		\includegraphics[width=0.2\linewidth]{Contractible loops.png}
 		\caption{Diagram showing two double tori with (non)-contractible paths.  Image source[7]}
 		\label{fig:CoLoop}
 	\end{figure}
@@ -98,12 +98,12 @@ code-for-last-col = \color{blue}
 
 \begin{frame}[fragile]{CMB Anisotropy of Homogeneous Spherical Spaces}
 	\begin{itemize}
-		\item Manifolds $M := \mathbb{S}^3 /_ \sim$ where $\sim $ identifies the orbits of finite $H \leq SO(4)$ finite
+		\item Manifolds $\textcolor{blue}{M} := \mathbb{S}^3 /_ \sim$ where $\sim $ identifies the orbits of finite $H \leq SO(4)$ finite
 
-		\item Helmholtz equation on $M$ given by
-		      $$(\Delta + E_\beta^M)\psi_\beta^{M, i} = 0$$
+		\item Helmholtz equation on $\textcolor{blue}{M}$ given by
+		      $$(\Delta + E_\textcolor{red}{\beta}^\textcolor{blue}{M})\psi_\textcolor{red}{\beta}^{\textcolor{blue}{M}, i} = 0$$
 
-		\item In fact $E_\beta^m = \beta^2-1$ for $\beta \in \mathbb{N}$ we call $\beta$ a wave number
+		\item In fact $E_\textcolor{red}{\beta}^m = \textcolor{red}{\beta}^2-1$ for $\textcolor{red}{\beta} \in \mathbb{N}$ we call $\textcolor{red}{\beta}$ a wave number
 
 		\item The set of all possible wave numbers [for which there exists a non-zero solution] depends on $H$
 
@@ -154,7 +154,8 @@ code-for-last-col = \color{blue}
 
 	\begin{itemize}
 		\item Multi-connected space: it has non-contractable loops
-		\item Inhomogeneous space: it does not look the same from every point on the
+		\item Inhomogeneous space: it does not look identical from every point in space
+        \item 
 	\end{itemize}
 
 \end{frame}