We will briefly discuss what a regular convex polyhedron is and prove that there are precisely 5 of them. We will also discuss the semi-regular polyhedra and define the concept of "dual" polyhedra.
Then a collection of remarkable, and surprising, moveable models will be displayed, and discussed, in light of the relevant mathematics. The audience will be left with several open questions and the possibility of constructing "new" (that is, hitherto unknown) moveable models on their own.
If time permits you will be shown surprising topological configurations using zippers with Velcro attachments.
Here are some photos of Professor Pedersen's models taken by Chris Pedersen.
Jean Pedersen is Professor of Mathematics and Computer Science at Santa Clara University. She has published (often co-authored) 8 books, and over 190 articles in mathematics, many having to do with her specialty, polyhedral geometry. Her most recent book (co-authored with Derek Holton and Peter Hilton) is Mathematical Vistas -- From a Room with Many Windows (Springer, 2000). She was the 1997 recipient of a Distinguished University Teaching Award from the Northern California, Nevada and Hawaii Section of the Mathematical Association of America. In 2002 she received Santa Clara University's Joseph Bayma S. J. Scholarship Award honoring her life-long scholarship and creativity. She is interested in all things geometric and loves to share her knowledge with others.
How to get to Santa Clara University:
|101||From US Highway 101, take the De La Cruz Boulevard/Santa Clara exit and follow the signs to El Camino and the main campus entrance.|
|280||From I-280, take I-880 north toward Oakland to the Alameda exit. Turn left onto The Alameda (which becomes El Camino Real) to the main campus entrance.|
|880||From I-880, take the Alameda exit, travel north (The Alameda becomes El Camino Real) to the main campus entrance.|