\documentclass[10pt,notitlepage]{article}
\usepackage{amsmath,graphicx,amssymb,datetime,stmaryrd,textcomp,multicol,picins}
\usepackage[usenames,dvipsnames]{xcolor}
\usepackage[setpagesize=false]{hyperref}
\usepackage{fontspec}
\usepackage[text={7.5in,10in},centering]{geometry}
\parindent 0in

\input defs.tex

\begin{document}
\pagestyle{empty}
\setlength{\jot}{3pt}
\setlength{\abovedisplayskip}{0.5ex}
\setlength{\belowdisplayskip}{0.5ex}
\setlength{\abovedisplayshortskip}{0ex}
\setlength{\belowdisplayshortskip}{0ex}

\href{http://www.math.toronto.edu/~drorbn/Copyleft/}{\textcopyleft}$\mid$
\href{http://www.math.toronto.edu/~drorbn/}{Dror Bar-Natan}:
\href{http://www.math.toronto.edu/~drorbn/Talks/}{Talks}:
\href{http://www.math.toronto.edu/~drorbn/Talks/SciRen-1605/}{SciRen-1605}:
\hfill {\sl Handout and video at}

\vskip 0.5mm
{\large\bf\red Name What You See: The 17 Tiling Patterns}
\hfill{\sl \url{http://drorbn.net/SR16}}

\vskip 1.5mm
{\small Science Rendezvous, University of Toronto, May 7, 2016}

\vfill
\begin{multicols}{2}

{\bf\red Abstract.} People like identifying and naming the things they see.
It's an oak, not just a tree, a hawk, not just a bird, and a tiger, not
just an animal. I'll tell you how to identify and name the 17 symmetry
patterns you can find on floor tiles and wallpapers all around you (yes,
there are exactly 17 of them, no more and no less).

{\p Gotta catch 'em all!}

\columnbreak

\parpic[r]{\includegraphics[width=1.25in]{../../2014-08/17Worlds/ConwayEtAl.jpg}}
{\bf\red Reading.} An excellent book on the subject is {\em The Symmetries
of Things} by J.~H.~Conway, H.~Burgiel, and C.~Goodman-Strauss, CRC
Press, 2008.

Another nice text is {\em Classical Tessellations and Three-Manifolds}
by J.~M.~Montesinos,  Springer-Verlag, 1987.

{\bf\red Question.} In what ways can you make \$2 change, using
coins denominated $\frac12$, $\frac23$, $\frac34$, $\frac45$,
$\frac56$, etc.?

{\def\f#1#2{\frac{#1}{\red\mathbf #2}}
{\bf\red Answer.}
$2=\f12+\f12+\f12+\f12=\f23+\f23+\f23=\f34+\f34+\f12=\f56+\f23+\f12$,
and that's it.
}

\end{multicols}

\vfill
\resizebox{0.495\textwidth}{!}{\input{Gotta1.pstex_t}}
\hfill
\resizebox{0.495\textwidth}{!}{\input{Gotta2.pstex_t}}

\vfill
{\bf Riddle.} Which symmetry pattern appears twice below?

\includegraphics[width=\textwidth]{Best18.jpg}

\vfill
{\bf\color{red}Tilings worksheet.} Classify the 
pictures on the other side according to the following possibilities:
\Da=2222, \Db=333, \Dc=442, \Dd=632, \De=*2222, \Df=*333, \Dg=*442,
\Dh=*632, \Di=4*2, \Dj=3*3, \Dk=2*22, \Dl=22*, \Dm=**, \Dn=*o, \Do=oo,
\Dp=22o, and \Dq=0 (the pictures come in \{context, pattern\} pairs).

\newpage
\begin{center}
\null\includegraphics[height=0.95\textheight]{RandomlyPermuted.jpg}
\end{center}

\end{document}

\endinput