Tuesday, Thursday in
Malott 224

1:25 to 2:40 PM

Instructor: Bob Connelly (connelly@math.cornell.edu) Office hours: TBA

** **

1:25 to 2:40 PM

Instructor: Bob Connelly (connelly@math.cornell.edu) Office hours: TBA

**Schedule of talks**

Date |
Tuesday |
Thursday |

1/23-25/2007 |
Introduction |
Mark,
Fourier Analsis and Difraction |

1/30-2/1/2007 |
Sara, Oragami Mathematics |
Matthew, Simplex Method |

2/6-8/2007 |
Keith, Protein Rigidity |
Rami,
Flexible Surfaces |

2/13-15/2007 |
Steve, Bracing Grids |
Bob, Reverse Isoperimetric Inequality
and Packing |

2/20-22/2007 |
Mark,
Minkowski Geometry |
Bob, Cauchy's Rigidity Theorem |

2/27-3/1/2007 |
Matthew, Isoperimetric Inequality |
Rami, Four Vertex Theorem |

3/6-9/2007 |
Sara, Geometry and Billiards |
Keith,
Classical Greek Problems |

3/13-15/2007 |
Steve, Morley's
Theorem |
Mark, Art Gallery Theorems |

3/20-22/2007 |
SPRING BREAK |
SPRING BREAK |

3/27-29/2007 |
Matthew,
Euler's formula |
Rami,
Archimedes Theorem |

4/3-5/2007 |
Bob is out
of town (Maria Terrell will sit in) Steve, the 17-gon |
Bob is out
of town (Maria Terrell will sit in) Sara, Geometry of SO(3) |

4/10-12/2007 |
Matt,
Chomp |
Mark,
Buffon's Needle Problem and Bertrand's
Paradox |

4/17-19/2007 |
Keith,
Slopes for Point Configurations (extra) |
Steve, Euler Line,
proof
2 |

4/24-26/2007 |
Rami,
Minimal Surfaces |
Recap |

5/1-3/2007 |
Sara, Hilbert's Third Problem |
Keith,
Planar Subsets of a Hypercube + |

**Possible Topics**

Cauchy's Theorem about the rigidity of polyhedra.

The construction of flexible triangulated surfaces.

Tracing polynomial curves with linkages in the plane.

The impossibility of trisecting an angle with ruler and compass constructions.

Curves of constant breadth and Fourier expansions of the radius of curvature.

Aperiodic tilings.

The most dense packing of congruent disks in the plane.

Dissecting polyhedra in the plane and space -- Hilbert's third problem.

Mathematical paper folding.

The stability of tensegrity structures.

Constructing hyperbolic geometry.

Helly's theorem about intersections of convex sets.

Gallai's theorem about points and lines in the plane.

The Beckmann-Quarles theorem about unit-distance preserving maps of the plane.

Part of the experience will be to learn how to gain access to the materials needed. The following are some books that are on reserve in the Mathematics library that can provide a starting point for deciding what to cover.

Proofs from the Book: Ziegler

Geometry and the Imagination: Hilbert and Cohn-Vossen

What is Mathematics?: Courant and Robbins

The Enjoyment of Mathematics: Rademacher and Toeplitz

Convex figures: Lyusternik

Combinatorial Geometry: Pach and Agarwal

Studies in Global Geometry and Analysis: ed. Chern

Old and New Unsolved Problems in Plane Geometry and Number Theory: Klee and Wagon

Another very useful tool is http://www.ams.org/mathscinet/ (not to mention Wikipedia) which is available on most Cornell terminals.

Stay tuned at this web page for updates and a schedule of who is talking.

Last updated: *August 16, 2007 *