Description of sequences defined by billiards in the cube
A billiard game in the 3-dimensional cube is considered. The orbit of a lattice-free point can be encoded as a sequence with three symbols. In a preceding paper by \textit{K. Nishioka}, \textit{I. Shiokawa} and \textit{J. Tamura} [J. Number Theory 42, 61--87 (1992; Zbl 0770.11039)] an algorithm for the description of an admissible sequence was given. In the present paper another description is given which uses continued fractions and a related series expansion.
scientific article; zbMATH DE number 221216