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\Huge{tcore 122: Quiz 7}
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\noindent $[9[$ (Wks 7 \& \S7.1) TRUE/FALSE: For each of the following determine if the statement is true or false and provide some \emph{justification} for your answer. 	

\begin{enumerate}
\item  Two perpendicular geodesics on a sphere cross only once.
\vspace{1.5in}

\item Two perpendicular geodesics on patty paper cross only once.
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\item The measure of angles in a triangle on a sphere can sum to $270^\circ$.
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\noindent FREE RESPONSE.

\begin{enumerate}
\item $[2]$ (5/18 Lecture) Spherical geometry challenged the axioms that Euclid set out in 300BC. Kurt G\"odel was a mathematician who challenged another set of axioms. What axioms did G\"odel upset in the 1930's?
\vspace{1in}
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\item $[2]$ In Chapter 7 Lang takes two preexisting origami designs and adds texture to them.  Name them.
\vspace{1in}

\item $[2]$ Name one of the reasons that Lang decided not to use the basic crossed pleat when designing the Koi?
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\hspace{3.3 in}\includegraphics[height=3in]{quiz7a}
\vspace{-2in}\item $[2]$ (Lang) Draw the crease pattern for \\
the basic crossed pleat discussed in \\
Chapter 7 and in class on 5/16.
\vspace{1in}

\item $[3]$ Lockhart was ``in the mood to think about shapes" in \emph{The Mathematician's Lament}.  What shapes did he start working with and what question did he ask?  That is, what ``little narrative" did he give to illustrate the mathematician's art?


\end{enumerate}

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