
Robert L. Foote
Professor of Mathematics & Computer Science

Spring 2015 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
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Page last modified on 18 August 2009
For the Snark was a Boojum, you see.