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The cellular automata code was copied and pasted from:
http://tex.stackexchange.com/questions/118377/drawing-multiple-iterations-of-cellular-automatons-inline-possibly-with-tikz
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\documentclass[11pt]{beamer}
\usepackage{tikz}

% Each cell is stored globally as a macro
% for example \csname cell-glider-1-7\endcsname
\def\setcell#1#2#3{%
    \pgfmathparse{int(#2)}\let\cx=\pgfmathresult%
    \pgfmathparse{int(#3)}\let\cy=\pgfmathresult%
    \expandafter\xdef\csname cell-#1-\cx-\cy\endcsname%
}

% Cells are accessed by parsing #2 and #3 to integers
% and assigning the cell contents to the macro #4
\def\getcell#1#2#3#4{%
    \pgfmathparse{int(#2)}\let\cx=\pgfmathresult%
    \pgfmathparse{int(#3)}\let\cy=\pgfmathresult%
    \def\marshal{\xdef#4}%
    \marshal{\csname cell-#1-\cx-\cy\endcsname}%
}


% We flip the current from `current' to `next'
% which is probably misleading. The texts can be
% any arbitrary string as long as they are different.
\def\currenttext{current}
\def\nexttext{next}

\let\currentgeneration=\currenttext
\let\nextgeneration=\nexttext

\def\switchgenerations{%
    \ifx\currentgeneration\currenttext%
        \global\let\currentgeneration=\nexttext%
        \global\let\nextgeneration=\currenttext%
    \else%
        \global\let\currentgeneration=\currenttext%
        \global\let\nextgeneration=\nexttext%
    \fi%
}

% Define colors \csname color-#1\endcsname
% Which can be used according to the cell contents
% So \csname color-0\endcsname holds the color for cells with value 0
\def\setcolor#1{\expandafter\xdef\csname color-#1\endcsname}
\def\getcolor#1{\csname color-#1\endcsname}


% Define a 10x10 board with a border of 1 so edge
% detection is not necessary.
\foreach \x in {0,...,11}{%
    \foreach \y in {0,...,11}{%
        \setcell{\currentgeneration}{\x}{\y}{0}%
    }% %
}%



% Copy this board for the next generation
% This is HUGELY inefficient. What would be better is
% to maintain a list of only changing cells (hard in LaTeX)
\foreach \x in {0,...,11}{%
    \foreach \y in {0,...,11}{%
        \setcell{\nextgeneration}{\x}{\y}{0}%
    }%
}
\newcount\neighbors

\def\updategenerations{%
\begingroup\nullfont% Hmm lots of unwanted spaces occur here
\foreach \x in {1,...,10}{%
    \foreach \y in {1,...,10}{%
        \getcell{\currentgeneration}{\x}{\y}{\n}%
        \getcell{\currentgeneration}{\x-1}{\y}{\a}%
        \getcell{\currentgeneration}{\x+1}{\y}{\b}%
        \getcell{\currentgeneration}{\x}{\y-1}{\c}%
        \getcell{\currentgeneration}{\x}{\y+1}{\d}%
        \getcell{\currentgeneration}{\x-1}{\y-1}{\e}%
        \getcell{\currentgeneration}{\x+1}{\y-1}{\f}
        \getcell{\currentgeneration}{\x-1}{\y+1}{\g}%
        \getcell{\currentgeneration}{\x+1}{\y+1}{\h}%
        \pgfmathsetcount\neighbors{\a+\b+\c+\d+\e+\f+\g+\h}%
        % Here are the neighbor rules
        \ifcase\neighbors %
            \setcell{\nextgeneration}{\x}{\y}{0}% 0 neighbors
        \or
            \setcell{\nextgeneration}{\x}{\y}{0}% 1 neighbors
        \or
            \ifnum\n=1\relax
            \setcell{\nextgeneration}{\x}{\y}{1}% 2 neighbors
            \fi
        \or
            \setcell{\nextgeneration}{\x}{\y}{1}% 3 neighbors
        \else
            \setcell{\nextgeneration}{\x}{\y}{0}% more than 3 neighbors
        \fi%
    }%
}%
\endgroup%
\switchgenerations%
}



\def\drawcurrentgeneration{%}
\begin{tikzpicture}[x=10pt,y=10pt]
\foreach \x in {1,...,10}{%
    \foreach \y in {1,...,10}{%
        \setcell{\nextgeneration}{\x}{\y}{0}% Do here for a *minor* increment in speed
        \getcell{\currentgeneration}{\x}{\y}{\value}%
        \edef\c{\getcolor{\value}}%
        \fill [fill=\c](\x, \y) rectangle ++(1,1);
    }
}
\end{tikzpicture}%
}

\setcolor{0}{blue!5}
\setcolor{1}{blue!20}

\setcell{\currentgeneration}{1}{8}{1}
\setcell{\currentgeneration}{2}{8}{1}
\setcell{\currentgeneration}{3}{8}{1}
\setcell{\currentgeneration}{3}{9}{1}
\setcell{\currentgeneration}{2}{10}{1}

\title{My Document}
\author{Fufu Fang\\ University of East Anglia}
\date{\today}
\usetheme{CambridgeUS}
\usecolortheme{beaver}
\begin{document}
    \maketitle
    \begin{frame}
    \frametitle{Introduction}
        This is a document I created in UEA's \LaTeX\ class.
    \end{frame}

    \begin{frame}
    \frametitle{Iteration 0}
    \drawcurrentgeneration
    \end{frame}

    \foreach \iteration in {1,...,32}{
    \begin{frame}
    \frametitle{Iteration \iteration}
    \updategenerations
    \drawcurrentgeneration
    \end{frame}
    }

\end{document}