Description of sequences defined by billiards in the cube (Q1803575)
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scientific article; zbMATH DE number 221216
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Description of sequences defined by billiards in the cube |
scientific article; zbMATH DE number 221216 |
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Description of sequences defined by billiards in the cube (English)
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29 June 1993
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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.
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topological dynamics
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billiard
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lattice-free point
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algorithm
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continued fractions
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