In these lectures I will describe many of the experiments I have done with inner and outer billiards. These include: McBilliards: a program which investigates billiards in triangles (joint with Pat Hooper)Billiard King: a program I used to solve the Moser-Neumann problemSome variants of Billiard king, which treat other outer billiards sys-tems.Billiard King3D: A program I have been using lately to study billiards in orthoschemes (a kind of tetrahedron).A program I wrote to study symplectic billiards with Sergei Tabach-nikov . I will try to show in the talks how almost all the results I have got on this topic have come from playing with these interfaces. I am open to sharing the software and helping people set up their own programs.[-]

The talk will have two main parts:
At the beginning of his mathematical career, Christian inherits from his advisor, Gérard Rauzy, some appetite for distributions of arithmetical sequences, with a special interest for those obtained by simple algorithmic constructions. I will discuss his result on “normal sets associated with substitutions" [?] and continue with recent developments and open questions on sets of non-normal numbers, in a more general setting.
We have written 48 joint papers with Christian. As a tribute to his memory I will present a short survey of our most important papers and recall some of the memorable moments of our cooperation.[-]

Though the term translation surface is relatively new, the notion is quite old (Abelian differential) and in fact predates the notion of hyperbolic surface. The term translation surface emphasizes the (G, X) point of view introduced to their study by Thurston in about 1980. Since then, ideas from both topology and dynamics have revolutionized the study of these structures. In this talk I will describe some of these ideas with preference given to those ideas that connect to both Delaunay triangulations and hyperbolic geometry. This talk is based on joint work with Allen Broughton. See https://arxiv.org/abs/1003.1672[-]