{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T12:04:30Z","timestamp":1773230670254,"version":"3.50.1"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2012,7,18]],"date-time":"2012-07-18T00:00:00Z","timestamp":1342569600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2012,10]]},"DOI":"10.1007\/s00454-012-9437-1","type":"journal-article","created":{"date-parts":[[2012,7,17]],"date-time":"2012-07-17T16:03:55Z","timestamp":1342541035000},"page":"766-776","source":"Crossref","is-referenced-by-count":12,"title":["Kadets-Type Theorems for Partitions of a Convex Body"],"prefix":"10.1007","volume":"48","author":[{"given":"Arseniy","family":"Akopyan","sequence":"first","affiliation":[]},{"given":"Roman","family":"Karasev","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,7,18]]},"reference":[{"key":"9437_CR1","doi-asserted-by":"crossref","first-page":"482","DOI":"10.2307\/2314701","volume":"75","author":"R. Alexander","year":"1968","unstructured":"Alexander, R.: A problem about lines and ovals. Am. Math. Mon. 75, 482\u2013487 (1968)","journal-title":"Am. Math. Mon."},{"issue":"3","key":"9437_CR2","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1007\/BF01245089","volume":"104","author":"K. Ball","year":"1991","unstructured":"Ball, K.: The plank problem for symmetric bodies. Invent. Math. 104(3), 535\u2013543 (1991). doi: 10.1007\/BF01245089","journal-title":"Invent. Math."},{"key":"9437_CR3","first-page":"990","volume":"2","author":"T. Bang","year":"1951","unstructured":"Bang, T.: A solution of the \u201cplank problem\u201d. Proc. Am. Math. Soc. 2, 990\u2013993 (1951)","journal-title":"Proc. Am. Math. Soc."},{"issue":"2","key":"9437_CR4","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/s00454-007-1333-8","volume":"38","author":"A. Bezdek","year":"2007","unstructured":"Bezdek, A.: On a generalization of Tarski\u2019s plank problem. Discrete Comput. Geom. 38(2), 189\u2013200 (2007). doi: 10.1007\/s00454-007-1333-8","journal-title":"Discrete Comput. Geom."},{"issue":"5","key":"9437_CR5","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1112\/blms\/27.5.492","volume":"27","author":"A. Bezdek","year":"1995","unstructured":"Bezdek, A., Bezdek, K.: A solution of Conway\u2019s fried potato problem. Bull. Lond. Math. Soc. 27(5), 492 (1995)","journal-title":"Bull. Lond. Math. Soc."},{"issue":"6","key":"9437_CR6","doi-asserted-by":"crossref","first-page":"522","DOI":"10.1007\/BF01268872","volume":"66","author":"A. Bezdek","year":"1996","unstructured":"Bezdek, A., Bezdek, K.: Conway\u2019s fried potato problem revisited. Arch. Math. 66(6), 522\u2013528 (1996)","journal-title":"Arch. Math."},{"key":"9437_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-0600-7","volume-title":"Classical Topics in Discrete Geometry","author":"K. Bezdek","year":"2010","unstructured":"Bezdek, K.: Classical Topics in Discrete Geometry. Springer, Berlin (2010). doi: 10.1007\/978-1-4419-0600-7"},{"issue":"1","key":"9437_CR8","first-page":"229","volume":"51","author":"K. Bezdek","year":"2010","unstructured":"Bezdek, K., Schneider, R.: Covering large balls with convex sets in spherical space. Contrib. Algebra Geom. 51(1), 229\u2013235 (2010)","journal-title":"Contrib. Algebra Geom."},{"key":"9437_CR9","volume-title":"Research Problems in Discrete Geometry","author":"P. Brass","year":"2005","unstructured":"Brass, P., Moser, W., Pach, J.: Research Problems in Discrete Geometry. Springer, New York (2005)"},{"issue":"5","key":"9437_CR10","doi-asserted-by":"crossref","first-page":"1491","DOI":"10.1090\/S0002-9939-04-07650-6","volume":"133","author":"V. Kadets","year":"2005","unstructured":"Kadets, V.: Coverings by convex bodies and inscribed balls. Proc. Am. Math. Soc. 133(5), 1491\u20131496 (2005)","journal-title":"Proc. Am. Math. Soc."},{"issue":"2","key":"9437_CR11","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1090\/S1061-0022-2012-01200-8","volume":"14","author":"F. Nazarov","year":"2002","unstructured":"Nazarov, F., Sodin, M., Vol\u2019berg, A.: The geometric Kannan\u2013Lov\u00e1sz\u2013Simonovits lemma, dimension-free estimates for the distribution of the values of polynomials, and the distribution of the zeros of random analytic functions. St. Petersburg Math. J. 14(2), 351\u2013366 (2002)","journal-title":"St. Petersburg Math. J."},{"key":"9437_CR12","first-page":"310","volume":"2","author":"A. Tarski","year":"1932","unstructured":"Tarski, A.: Further remarks about the degree of equivalence of polygons. Odbitka Z. Parametr. 2, 310\u2013314 (1932)","journal-title":"Odbitka Z. Parametr."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-012-9437-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-012-9437-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-012-9437-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T02:52:09Z","timestamp":1561949529000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-012-9437-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,7,18]]},"references-count":12,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,10]]}},"alternative-id":["9437"],"URL":"https:\/\/doi.org\/10.1007\/s00454-012-9437-1","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,7,18]]}}}