PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Anatole Katok.

Title:Closed geodesics on regular polyhedra
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Dmitry Fuchs, UC Davis
Abstract:
I will present a classification of closed geodesics (not passing through the vertices) on regular tetrahedra, octahedra, icosahedra and cubes, with some open questions remaining in the last two cases. Some experimentally observed pecularities in the behavior of closed geodesics will be discussed (in the case of a cube). The talk will be absolutely elementary. Exercise: what are the possible lengths of simple closed geodesics on a cube with the edge 1? (Answer: 4 and the square roots of 18 and 20.)

Room Reservation Information

Room Number:MB106
Date:02 / 06 / 2008
Time:03:35pm - 04:35pm