{"oa_version":"Preprint","oa":1,"publication_status":"published","article_type":"original","isi":1,"intvolume":" 51","date_created":"2019-08-11T21:59:23Z","date_updated":"2023-08-29T07:08:34Z","page":"765-775","month":"10","volume":51,"_id":"6793","title":"The Regge symmetry, confocal conics, and the Schläfli formula","department":[{"_id":"HeEd"}],"author":[{"orcid":"0000-0002-2548-617X","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","first_name":"Arseniy","last_name":"Akopyan","full_name":"Akopyan, Arseniy"},{"last_name":"Izmestiev","full_name":"Izmestiev, Ivan","first_name":"Ivan"}],"year":"2019","type":"journal_article","citation":{"apa":"Akopyan, A., & Izmestiev, I. (2019). The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/blms.12276","short":"A. Akopyan, I. Izmestiev, Bulletin of the London Mathematical Society 51 (2019) 765–775.","ista":"Akopyan A, Izmestiev I. 2019. The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. 51(5), 765–775.","mla":"Akopyan, Arseniy, and Ivan Izmestiev. “The Regge Symmetry, Confocal Conics, and the Schläfli Formula.” Bulletin of the London Mathematical Society, vol. 51, no. 5, London Mathematical Society, 2019, pp. 765–75, doi:10.1112/blms.12276.","chicago":"Akopyan, Arseniy, and Ivan Izmestiev. “The Regge Symmetry, Confocal Conics, and the Schläfli Formula.” Bulletin of the London Mathematical Society. London Mathematical Society, 2019. https://doi.org/10.1112/blms.12276.","ieee":"A. Akopyan and I. Izmestiev, “The Regge symmetry, confocal conics, and the Schläfli formula,” Bulletin of the London Mathematical Society, vol. 51, no. 5. London Mathematical Society, pp. 765–775, 2019.","ama":"Akopyan A, Izmestiev I. The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. 2019;51(5):765-775. doi:10.1112/blms.12276"},"doi":"10.1112/blms.12276","scopus_import":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","abstract":[{"text":"The Regge symmetry is a set of remarkable relations between two tetrahedra whose edge lengths are related in a simple fashion. It was first discovered as a consequence of an asymptotic formula in mathematical physics. Here, we give a simple geometric proof of Regge symmetries in Euclidean, spherical, and hyperbolic geometry.","lang":"eng"}],"publisher":"London Mathematical Society","article_processing_charge":"No","language":[{"iso":"eng"}],"issue":"5","publication":"Bulletin of the London Mathematical Society","quality_controlled":"1","external_id":{"isi":["000478560200001"],"arxiv":["1903.04929"]},"publication_identifier":{"issn":["00246093"],"eissn":["14692120"]},"date_published":"2019-10-01T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1903.04929"}],"project":[{"call_identifier":"H2020","_id":"266A2E9E-B435-11E9-9278-68D0E5697425","name":"Alpha Shape Theory Extended","grant_number":"788183"}],"day":"01","ec_funded":1,"status":"public"}