# Math Museum

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 Revision as of 23:24, 31 March 2009 (view source)Neylon (Talk | contribs) (first draft)← Older edit Revision as of 23:39, 31 March 2009 (view source)Neylon (Talk | contribs) (Adding some other possible exhibits)Newer edit → Line 19: Line 19: == Games from number theory == == Games from number theory == - Show how some tricks may be used to arrive at surprising conclusions, such as using easy trick for divisibility by 9, or other mind tricks.  The key here is to explain the math behind the tricks, so that they become real math instead of just tricks, and so the audience (with a good memory) will be able to repeat the trick on their own. + Show how some tricks may be used to arrive at surprising conclusions, such as using the easy trick for divisibility by 9, or other mind tricks.  The key here is to explain the math behind the tricks, so that they become real math instead of just tricks, and so the audience (with a good memory) will be able to repeat the trick on their own. == Card tricks from order theory and number theory == == Card tricks from order theory and number theory == - How many shuffles does it take to get the most random deck?  If I remember correctly, I think that 8 perfect shuffles gives you your original deck back exactly (assuming you shuffle it one particular way each time).  The number theory behind that is not too hard.  There are also some great card tricks that have very math ideas behind them - for example Gilbreath's principle. + How many shuffles does it take to get the most random deck?  If I remember correctly, I think that 8 perfect shuffles gives you your original deck back exactly (assuming you shuffle it one particular way each time).  The number theory behind that is not too hard.  There are also some great card tricks that have nice math ideas behind them - for example Gilbreath's principle. == Surprising ideas from statistics == == Surprising ideas from statistics == Line 55: Line 55: * Tangrams * Tangrams * General brain teasers, explained with the related math ideas * General brain teasers, explained with the related math ideas + * General facts about triangles (with animations / interactive) + * Nice solids (like the Platonics, Archimedean, etc) + * Fourier series and music + * Vector fields, calculus and application through models (eg aerodynamics) + * Group theory and Rubik's cube + * Number theory and cryptography + * Set theory and different sizes of infinity + * Graph theory, maps, and networks + * Relativity and curved spacetime + * Statistics, fun conclusions (eg Tufte's explanation of investigating the plague in London), and easy mistakes + * Financial math and gambling strategies + * Fibonacci number and the golden ratio