Jozsef Beck, Rutgers University

Abstract

A Cubeline means a geodesic on the cube surface. What can we say about the equidistribution of a concrete Cubeline with given slope, say slope square-root-2? What about the equidistribution of billiards in a nontrivial polyomino, say the L-shaped one (3 unit squares)? How does combinatorics enter the story? We attempt to answer these questions.