Can the Elliptic Billiard Still Surprise Us?
Author:
Publisher
Springer Science and Business Media LLC
Subject
History and Philosophy of Science,General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00283-019-09951-2.pdf
Reference29 articles.
1. A. Akopyan. Proofs of constant cosine product, and area ratio for $$N\,>\,3$$. Private Communication, August 2019.
2. G. Birkhoff. On the periodic motions of dynamical systems. Acta Mathematica 50:1 (1927), 359–379.
3. A. Connes and D. Zagier. A property of parallelograms inscribed in ellipses. American Mathematical Monthly 114:10 (2007), 909–914.
4. V. Dragović and M. Radnović. Poncelet Porisms and Beyond: Integrable Billiards, Hyperelliptic Jacobians and Pencils of Quadrics. Frontiers in Mathematics. Springer, 2011.
5. C. Fierobe. On the circumcenters of triangular orbits in elliptic billiard. arxiv.org/pdf/1807.11903.pdf 2018.
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