Next: Introduction


On nonconvex caustics of convex billiards

Oliver Knill

March 12, 1997, appeared in the journal Elemente der Mathematics , 1998

Abstract

We illustrate the dynamics of billiards in tables of constant width. Caustics of such tables can be nowhere differentiable and are related to caustics appearing in differential geometry.


The following Mathematica programs were used for making the illustrations in the article. I wrote them ad hoc but the procedures should be readable. The procedures are mainly undocumented. If you like some of the pictures, have a look!

Oliver Knill, Jun 12, 1998