\begin{thebibliography}{10} \bibitem{AlexandersonWetzel:1978} Gerald~L. Alexanderson and John~E. Wetzel. \newblock Simple partitions of space. \newblock {\em Mathematics Magazine}, 51:220--225, 1978. \bibitem{AlexandersonWetzel:1981} Gerald~L. Alexanderson and John~E. Wetzel. \newblock Arrangements of planes in space. \newblock {\em Discrete Mathematics}, 34:219--240, 1981. \bibitem{Bressoud:1999} David~M. Bressoud. \newblock {\em Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture}. \newblock Mathematical Association of America, Washington, DC, 1999. \bibitem{Dodgson:1866} Charles~L. Dodgson. \newblock Condensation of determinants. \newblock {\em Proceedings of the Royal Society, London}, 15:150--155, 1866. \bibitem{Needham:1959} Joseph Needham. \newblock {\em Science and Civilisation in China}, volume~3. \newblock Cambridge University Press, 1959. \bibitem{Pederson:2004} Jean Pederson. \newblock Platonic divisions of space. \newblock In David~F. Hayes and Tatiana Shubin, editors, {\em Mathematical adventures for students and amateurs}, pages 117--133. Mathematical Association of America, Washington, DC, 2004. \bibitem{Polya:1965} George P{\'o}lya. \newblock {\em Let Us Teach Guessing}. \newblock video. The Mathematical Association of America, Washington, DC, 1965. \bibitem{Robbins:1991} David~P. Robbins. \newblock The story of 1, 2, 7, 42, 429, 7436, $\ldots$. \newblock {\em The Mathematical Intelligencer}, 13:12--19, 1991. \bibitem{Erdos:1973} Joel Spencer, editor. \newblock {\em Paul {E}rd{\"o}s: The art of counting, selected writings}. \newblock MIT Press, Cambridge, MA, 1973. \bibitem{Steiner:1826} J.~Steiner. \newblock Einige gesetze {\"u}ber die theilung der ebene und des raumes. \newblock {\em J. reine angew. Math.}, 1:349--364, 1826. \bibitem{Zeilberger:1996b} Doron Zeilberger. \newblock Proof of the refined alternating sign matrix conjecture. \newblock {\em New York Journal of Mathematics}, 2:59--68, 1996. \end{thebibliography}