I have my first oral math exam this coming Saturday and it happens to be in Topology, one of (I think) the most playful and fun branches of math - and one that math-lay-people can get their heads wrapped around, at least a little. So, if you feel like thinking about some of this, check out these links:
First off, two very cool topological spaces, Bing's House (or the House with Two Rooms) and the Infinite Earring. Let me know what you think!
And now, a video - of a lay-person's proof of a very cool theorem in Topology (no lectures needed!)
about how under certain, simple assumptions, you can show that two spots on the earth have exactly the same weather...
Alright - I'll get back to the technical details of these spaces - they are less fun than the articles I've posted here, but I suppose, as a mathematician-in-training, I have to accept that they are important.
Cool (& hot video). Love the 1/2 way point.
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