\Bibitem{KibFomKha21} \by V.~A.~Kibkalo, A.~T.~Fomenko, I.~S.~Kharcheva \paper Realizing integrable Hamiltonian systems by means of billiard books \serial Tr. Mosk. Mat. Obs. \yr 2021 \vol 82 \issue 1 \pages 45--78 \publ MCCME \publaddr M. \mathnet{http://mi.mathnet.ru/mmo646} \transl \jour Trans. Moscow Math. Soc. \yr 2021 \vol 82 \pages 37--64 \crossref{https://doi.org/10.1090/mosc/324} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85127494455}