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\Huge{3D Printing}
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\noindent This project will have you working with 3D digital designs, using a 3D printer to create physical products, and sharing either the experience or details about the object you printed in a public forum.
~\\

\noindent During this project you will:
\begin{packed_itemize}
\item learn how to create nontrivial objects in TinkerCad, 
\item export original work into 3D printable files,
\item investigate an interesting geometric phenomenon with a printable 3D object,
%\item Determine how to reconstruct geometric shapes with TinkerCad. 
\item work collaboratively on researching, printing, and explaining a 2nd 3D object, and
\item verbally share your 3D product making experience or relevant math details with a poster at Undergraduate Showcase poster session.
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\noindent The tentative schedule for the project:
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\item Week 1: Introduction to 3D Project \& TinkerCad
\item Week 2: 3D Printing HW1 Due (introduction to TinkerCad)
\item Week 3: 3D Printing HW2 Due (first 3D file to print)
\item Week 4: Field Trip to Library for 3D printer introduction
\item Week 5: Report on project intend to complete for poster.
\item Week 7 \& 8: Second printing for poster 
\item Week 9: Poster (marked) Drafts exchanged
\item Week 10: Undergraduate Showcase poster session
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\noindent Some ideas of things you might want to try to 3D print for the poster session:
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\item Lost area puzzles: 
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\item Liu Hui�s cube  \url{https://www.maa.org/book/export/html/842718}
%\item The triangle in Paul Curry's paradox (\url{https://en.wikipedia.org/wiki/Missing_square_puzzle}).
\item The square in Sam Loyd's paradox (\url{https://en.wikipedia.org/wiki/Missing_square_puzzle}).
\item The square in Mitsuobu Matsuyama's paradox (\url{https://en.wikipedia.org/wiki/Missing_square_puzzle}).
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\item Reproducing the London Building whose concave shape was responsible for melting cars (
\url{https://globalnews.ca/news/1334377/car-melting-london-skyscraper-to-be-permanently-cooled-down/})
\item Create two drums that are different shapes but sound the same.\\
M. Kac, \emph{Can One Hear the Shape of a Drum?}, American Mathematical Monthly 73 (1966), 1-23. 
\item Estimate a G\H om\H oc. (Given its nature you'll need to build parts and then attach...) 
\item Estimate hyperbolic planes or objects in space.
\end{itemize}




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