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\def\blue{\color{blue}}
\def\red{\color{red}}

\def\navigator{{Dror Bar-Natan: Talks: ClassroomAdventures-1408:}}

\def\w#1{{\href{http://www.math.toronto.edu/drorbn/Talks/ClassroomAdventures-1408/#1}{$\omega$/#1}}}
\def\webdef{{$\omega:=$\url{http://www.math.toronto.edu/~drorbn/Talks/ClassroomAdventures-1408}}}
\def\webnote{{Video, handout, links at \w{}}}

\def\o#1{{$\bar{#1}$}}

\def\Goal{{{\red Goal.} Get you hooked!}}

\def\Abstract{{\raisebox{2.5mm}{\parbox[t]{2.38in}{
\parshape 8 0in 2.45in 0in 2.45in 0in 2.45in 0in 2.45in 0in 2.45in 0in 2.45in 0in 2.45in 0in 3.95in
{\red Abstract.} Back in early 2000, I got my first digital camera and set
out to take pictures of my kids and of symmetric patterns in the plane
(\w{Tilings}).
There are exactly 17 of those, no more, no less. It is an addicting
challenge to walk around looking at buildings, brick walls, people's ties,
fabrics, what's not, and to try figure out which of the 17 is each one.
\newline$\bullet$ What would history look like if we were living on Venus?
\newline$\bullet$ What do the ants on Lou Kauffman's tie think?
}}}}

\def\Books{{\raisebox{2.5mm}{\parbox[t]{2.38in}{
\parshape 4 0in 1.25in 0in 1.25in 0in 1.25in 0in 2.1in
{\red Books.} \small
\newline$\bullet$ J.~H.~Conway, H.~Burgiel, and C.~Goodman-Strauss, {\em
The Symmetries of Things,} CRC Press, 2008.
\newline$\bullet$ J.~M.~Montesinos, {\em Classical Tessellations and
Three-Manifolds,} Springer-Verlag, 1987.
}}}}

\def\Claim{{\raisebox{2.5mm}{\parbox[t]{3.12in}{
{\red Claim.} Exactly 10 ``features'' are possible. They are {\red
M}, {\red G}, {\red 2}, {\red 3}, {\red 4}, {\red 6}, {\red\o{2}},
{\red\o{3}}, {\red\o{4}}, and {\red\o{6}}.
}}}}

\def\Theorem{{\raisebox{2.5mm}{\parbox[t]{3.145in}{
{\red Theorem.} There are exactly 17 ``tilings'' of the
plane: {\red$\emptyset$}$=\!\!0$, {\red MM}$=\!\!\ast\ast$,
{\red MG}$=\!\!\ast\circ$, {\red GG}$=\!\!\circ\circ$, {\red
2222}$=\!\!2222$, {\red 333}$=\!\!333$, {\red 442}$=\!\!442$, {\red
632}$=\!\!632$, {\red \o{2}\o{2}\o{2}\o{2}}$=\!\!\ast 2222$, {\red
\o{3}\o{3}\o{3}}$=\!\!\ast 333$, {\red \o{4}\o{4}\o{2}}$=\!\!\ast 442$,
{\red \o{6}\o{3}\o{2}}$=\!\!\ast 632$, {\red 4\o{2}}$=\!\!4\!\ast\!2$,
{\red 3\o{3}}$=\!\!3\!\ast\!3$, {\red 2\o{2}\o{2}}$=\!\!2\!\ast\!22$,
{\red 22M}$=\!\!22\ast$, {\red 22G}$=\!\!22\circ$.
}}}}

\def\Monkeys{{\raisebox{2mm}{\parbox[t]{1.55in}{
{\red\small The 230 Worlds of Spacial Monkeys} \footnotesize
(The 219 worlds of Monkeys that Can't Tell their Left from their
Right)
\par\w{Crys}, \w{CFHT}
}}}}

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