| Degenerate Configurations |
|
10 |
| II. | For which arrangements of k lines and 4-k spheres in R3 are there infinitely many common tangents and transversals? |
|
1 line and 3 spheres: Only degenerate configurations exist.
(with Megyesi).
|
|
|
2 line and 2 spheres: Besides degenerate configurations, finitely many,
highly symmetric configurations exist.
(with Megyesi and Theobald).
|