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Outer Billiards outside a Regular Octagon: Periodicity of Almost All Orbits and Existence of an Aperiodic Orbit.
- Source :
-
Doklady Mathematics . Jul2018, Vol. 98 Issue 1, p334-337. 4p. - Publication Year :
- 2018
-
Abstract
- The existence of an aperiodic orbit for an outer billiard outside a regular octagon is proved. Additionally, almost all orbits of such an outer billiard are proved to be periodic. All possible periods are explicitly listed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *OCTAGONS
*ORBITS (Astronomy)
*POLYGONS
*GEOMETRIC shapes
*ORBITAL velocity
Subjects
Details
- Language :
- English
- ISSN :
- 10645624
- Volume :
- 98
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Doklady Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 131619255
- Full Text :
- https://doi.org/10.1134/S1064562418050101