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Unformatted text preview: I’ll devote roughly the last half of Wednesday’s class (somewhere between fifteen min- utes and half an hour) to your questions. I’ll also hold my usual Wednesday office hour immediately following class. Here is a list of topics you should concentrate on, roughly in the order we covered them. I’ve tried to indicate what days we covered these topics in class; I may be off by a day in some places since there were some times when I prepared something for one day but didn’t get to it until the following day. • Cantor’s power set theorem (3.4; Wed. June 10) • The infinite in geometry: proof that the square and the line have the same cardinality, stereographic projection in pictorial terms (3.5; Mon. June 15) • The art gallery theorem (4.2; Tue. June 16) • Tessellations (Wed. June 17; note that my emphasis here was quite different than that in the text) • Polyhedra: duality, counting symmetries, Euler characteristic, angle defects (Thu. June 18; 4.5) • Geometry on the surface of spheres and polyhedra (Thu. June 18; 4.6) • Hypercubes and hypertetrahedra (Mon. June 22?; 4.7) • The Euler characteristic for polyhedra and planar graphs (Mon. June 22; 5.3)The Euler characteristic for polyhedra and planar graphs (Mon....
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- Summer '09
- Math, Map projection, Mon, Fractal, Euler characteristic