Common Transversals and TangentsFrank Sottile
University of Masssachusetts, Amherst
Symbolic Computational Algebra 2002
University of Western Ontario
We describe some interesting symbolic computations that arose while studying the following simple geometric problem:
Consider k lines and 4-k spheres in R3.
Besides the interesting geometry, computation, and pictures, we feel that the
study of geometry in 3-space is a fertile area for potential applications of
symbolic and computational algebra.
The results in this talk represent joint work with
Gabor Megyesi and
A web page featuring many, many pictures from this study.