{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T12:31:19Z","timestamp":1764937879163,"version":"3.40.5"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2025,4,7]],"date-time":"2025-04-07T00:00:00Z","timestamp":1743984000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,4,7]],"date-time":"2025-04-07T00:00:00Z","timestamp":1743984000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"Conacyt","award":["21120"],"award-info":[{"award-number":["21120"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2025,6]]},"DOI":"10.1007\/s00454-024-00712-3","type":"journal-article","created":{"date-parts":[[2025,4,8]],"date-time":"2025-04-08T08:46:29Z","timestamp":1744101989000},"page":"887-895","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Characterizations of the Sphere by Means of Point-Projections"],"prefix":"10.1007","volume":"73","author":[{"given":"J.","family":"Jer\u00f3nimo-Castro","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2369-8950","authenticated-orcid":false,"given":"E.","family":"Morales-Amaya","sequence":"additional","affiliation":[]},{"given":"D. J.","family":"Verdusco-Hern\u00e1ndez","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,4,7]]},"reference":[{"key":"712_CR1","volume-title":"Geometry and the Imagination","author":"D Hilbert","year":"1990","unstructured":"Hilbert, D., Cohn-Vossen, S.: Geometry and the Imagination. Chelsea Publication Company, New York (1990)"},{"key":"712_CR2","doi-asserted-by":"publisher","first-page":"394","DOI":"10.1007\/s000130050414","volume":"73","author":"P Gruber","year":"1999","unstructured":"Gruber, P., \u00d3dor, T.: Ellipsoids are the most symmetric bodies. Arch. Math. 73, 394\u2013400 (1999)","journal-title":"Arch. Math."},{"key":"712_CR3","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/s10998-009-0213-9","volume":"59","author":"J Jer\u00f3nimo-Castro","year":"2009","unstructured":"Jer\u00f3nimo-Castro, J., Rold\u00e1n-Pensado, E.: A characteristic property of the Euclidean disc. Period. Math. Hungar. 59, 213\u2013222 (2009)","journal-title":"Period. Math. Hungar."},{"key":"712_CR4","first-page":"89","volume":"12","author":"S Matsuura","year":"1961","unstructured":"Matsuura, S.: A problem in solid geometry. J. Math. Osaka City Univ. 12, 89\u201395 (1961)","journal-title":"J. Math. Osaka City Univ."},{"issue":"3","key":"712_CR5","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/BF00181421","volume":"63","author":"J Arocha","year":"1996","unstructured":"Arocha, J., Montejano, L., Morales, E.: A quick proof of Hobinger-Burton-Larman theorem. Geom. Dedicata 63(3), 331\u2013335 (1996)","journal-title":"Geom. Dedicata"},{"key":"712_CR6","doi-asserted-by":"publisher","first-page":"344","DOI":"10.1007\/BF01210721","volume":"49","author":"G Bianchi","year":"1987","unstructured":"Bianchi, G., Gruber, P.M.: Characterizations of ellipsoids. Arch. Math. 49, 344\u2013350 (1987)","journal-title":"Arch. Math."},{"key":"712_CR7","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1112\/S0025579300014790","volume":"50","author":"L Montejano","year":"2003","unstructured":"Montejano, L., Morales, E.: Characterization of ellipsoids and polarity in convex sets. Mathematika 50, 63\u201372 (2003)","journal-title":"Mathematika"},{"issue":"1","key":"712_CR8","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1007\/s11854-022-0250-3","volume":"149","author":"S Myroshnychenko","year":"2023","unstructured":"Myroshnychenko, S.: On some characterizations of convex polyhedra. J. Anal. Math. 149(1), 239\u2013249 (2023)","journal-title":"J. Anal. Math."},{"issue":"1","key":"712_CR9","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/s00022-014-0232-4","volume":"106","author":"\u00c1 Kurusa","year":"2015","unstructured":"Kurusa, \u00c1., \u00d3dor, T.: Isoptic characterization of spheres. J. Geom. 106(1), 63\u201373 (2015)","journal-title":"J. Geom."},{"key":"712_CR10","first-page":"144","volume":"58","author":"R Gardner","year":"2006","unstructured":"Gardner, R.: Geometric tomography. Encyclopedia of Math. and its Appl. 58, 144 (2006)","journal-title":"Encyclopedia of Math. and its Appl."},{"key":"712_CR11","volume-title":"Poncelet\u2019s Theorem","author":"L Flatto","year":"2009","unstructured":"Flatto, L.: Poncelet\u2019s Theorem. American Mathematical Society, Providence (2009)"},{"key":"712_CR12","doi-asserted-by":"publisher","DOI":"10.1090\/stml\/030","volume-title":"Geometry and Billiards","author":"S Tabachnikov","year":"2005","unstructured":"Tabachnikov, S.: Geometry and Billiards. Student Mathematical Library. American Mathematical Society, Providence (2005)"},{"key":"712_CR13","first-page":"21","volume":"1","author":"A Hrask\u00f3","year":"2003","unstructured":"Hrask\u00f3, A.: Poncelet\u2019s theorem. Math. Phys. J. Second. Sch. 1, 21\u201331 (2003)","journal-title":"Math. Phys. J. Second. Sch."},{"key":"712_CR14","doi-asserted-by":"publisher","first-page":"355","DOI":"10.14321\/realanalexch.35.2.0355","volume":"35","author":"AO Lopes","year":"2010","unstructured":"Lopes, A.O., Sebastiani, M.: Poncelet pairs and the twist map associated to the Poncelet billiard. Real Anal. Exch. 35, 355\u2013374 (2010)","journal-title":"Real Anal. Exch."},{"key":"712_CR15","volume-title":"The Geometry of Geodesics","author":"H Busemann","year":"1955","unstructured":"Busemann, H.: The Geometry of Geodesics. Academic Press, New York (1955)"},{"key":"712_CR16","volume-title":"Convex Bodies: The Brunn-Minkowski Theory","author":"R Schneider","year":"2014","unstructured":"Schneider, R.: Convex Bodies: The Brunn-Minkowski Theory. Cambridge University Press, Second Expanded Edition (2014)"}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-024-00712-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00454-024-00712-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-024-00712-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T18:49:32Z","timestamp":1746816572000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00454-024-00712-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,7]]},"references-count":16,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,6]]}},"alternative-id":["712"],"URL":"https:\/\/doi.org\/10.1007\/s00454-024-00712-3","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2025,4,7]]},"assertion":[{"value":"21 November 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 October 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 December 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 April 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}