
Robert L. Foote
Professor of Mathematics &
Computer Science 
Spring 2014 Classes 

Recent
Research and Projects 


At the age of eleven, I began
Euclid, with my brother as my tutor. 
Recent Research and Projects
C.K. Han, J.W. Oh, and I generalized the notion of a Jacobi field along a
geodesic to that of an infinitesimal isometry along an arbitrary C^{2} curve in a
Riemannian manifold. I recenlty visited Han at the
Korea Institute for Advanced Study, where we worked on a generalization of the Frobenius foliation theorem. I also visited Sergei Tabachnikov and Mark Levi at Penn State, where we worked on
bicycle tire track geometry. In a recent paper
I explored the connection between the volume swept out by a moving planar
region and the motion of its centroid. I am working on an extension of this to
spherical and hyperbolic geometry. Patrick Coulton,
Gregory Galperin, and I studied pendulum dynamics in spherical and hyperbolic
geometries. Ralph Alexander, David Berg, and I worked out new formulas for perimeters of convex regions in spherical and
hyperbolic geometries. I continue to be interested in the geometry of planimeters, and
the connections between planimeters and isoperimetric inequalities.
Links
Cut the Knot Geometry Page
What Is The Most
Important Invention in the Past 2000 Years?
Smithsonian Magazine
Smithsonian Institution
Scientific American
Science
Integrity Cartoons 2008
Science
Integrity Cartoons 2009
Skeptical Inquirer
Psychic Wheels!
American Association of Woodturners
Old House Journal
This Old House
FoxTrot
Peanuts
Celebrate Freedom: Read a Banned Book
A History of
Censorship
American Civil Liberties Union
Wabash College
Department of Mathematics &
Computer Science
Some icons
on my pages are from the
IconBazaar.
Page last modified on 18
August 2009
For the Snark was a Boojum, you see.