\documentclass[12pt]{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{color}
% Put these before fancyhdr or else the headers and footers will be the wrong length.
\textwidth = 6.5in
\hoffset = 0in % These keep left margins at 1in.
\oddsidemargin = 0in
% So that there is one-half inch at top and bottom.
% See Math Into LaTeX, p. 260.
\topmargin = 0pt
\voffset = -0.5in
\textheight = 8.85in
\usepackage{fancyhdr}
\pagestyle{fancy}
\lhead{Fractal Design Project}
\chead{}
\rhead{Your name here}
\lfoot{Math 202}
\cfoot{}
\rfoot{Spring 2017}
\parindent=0pt
\parskip=\bigskipamount
\def\pvector#1#2{\left(\begin{matrix}#1\cr#2\end{matrix}\right)}
\def\bmatrix#1#2#3#4{\left[\begin{matrix}#1 & #2\cr#3 & #4\end{matrix}\right]}
\begin{document}
\begin{center}
\begin{tabular}{ll}
$f_1\pvector{x}{y}=\bmatrix{1/2}{0}{0}{1/2}\pvector{x}{y}$ &
$f_2\pvector{x}{y}=\bmatrix{1/2}{0}{0}{1/2}\pvector{x}{y}+\pvector{1/2}{0}$ \\
&\\
$f_3\pvector{x}{y}=\bmatrix{1/2}{0}{0}{1/2}\pvector{x}{y}+\pvector{0}{1/2}$ &
Add more as necessary....
\end{tabular}
\bigskip
\includegraphics[width=8cm]{test.png}
\end{center}
OK, now this is the coolest fractal ever. No joking! Not only is the picture in red and blue, but $f_1,$ $f_2,$ and $f_3$ have absolutely {\em nothing} to do with the fractal whatsoever! You see, I included the wrong picture, but you gotta love the red and blue action here! All those dots are {\bf totally cool.} And while it is certainly true that $$f_1\pvector{0}{1}=\pvector{0}{1/2},$$ this has absolutely nothing to do with anything!
\vskip 0.394in
Of course you'll have something considerably more interesting to say -- and this is the place to say it. Make sure you can discuss your fractal image in terms of the affine transformations you used, and all will be copacetic. Be {\sl absolutely} sure to use terminology {\color{red}appropriately,} even if you say it in {\color{blue}red}. Minimally altered code earns a C at best even if everything else is perfect....
Your complete assignment includes both of the following by the beginning of class on Friday, February 17:
\begin{itemize}
\item An email to me at {\text vjmatsko@usfca.edu} with a link to your Sage worksheet AND a .pdf/link of your \LaTeX\ document (which might be another Sage document);
\item A physical copy of your one-page fractally thing, {\color{blue}I}{\color{red}N} {\color{green}C}{\color{orange}O}{\color{purple}L}{\color{red}O}{\color{blue}R}{\color{green}.} {\sc Note:} {\em No excuses.} You have two weeks. You {\em cannot} earn an A with a black-and-white image.
\end{itemize}
\end{document}