Email this article Outer billiards outside a regular dodecagon
- Authors: Rukhovich F.D.1
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Affiliations:
- Moscow Institute of Physics and Technology
- Issue: Vol 485, No 4 (2019)
- Pages: 415-421
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/13542
- DOI: https://doi.org/10.31857/S0869-56524854415-421
- ID: 13542
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Abstract
The existence of an aperiodic orbit for an outer billiard outside a regular dodecagon is proved. It is shown that almost all orbits of such an outer billiard are periodic, and all possible periods are explicitly listed. The proofs of the theorems make use of computer calculations.
About the authors
F. D. Rukhovich
Moscow Institute of Physics and Technology
Author for correspondence.
Email: dprpavlin@gmail.com
Russian Federation, 9, Institutskij, Dolgoprudny, Moscow region, 141701
References
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