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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
 Lugo
 Math, Map projection, Mon, Fractal, Euler characteristic

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