Mathematica Graphs and Other Demos
More fun stuff for people who like pictures, but don't necessarily follow all the math: Wolfram has a downloadable viewer and a bunch of fun interactive demos that let you play with sliders and manipulate pictures to generate fun stuff. There are a whole bunch of categories, including "unsolved problems" that might really pique the interest of the math folks. I personally like the graph theory demo section, because of the issues I have with making sense of social network visualizations.
Note to dowloaders: You download the app. Then you start it. It launches a splash screen but seems to do nothing else. Then you click on a demo link on the website and choose "run." That runs it in the application viewer on your machine. To put a demo through its paces, try "Autorun" from the menu under the small + in the upper right corner of the little applet!
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