Robert L. Foote
Professor of Mathematics &
Spring 2014 Classes
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 C2 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.
Cut the Knot Geometry Page
What Is The Most Important Invention in the Past 2000 Years?
Science Integrity Cartoons 2008
Science Integrity Cartoons 2009
American Association of Woodturners
Old House Journal
This Old House
Celebrate Freedom: Read a Banned Book
A History of Censorship
American Civil Liberties Union
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Page last modified on 18 August 2009