[{"date_published":"2018-09-13T00:00:00Z","publisher":"ArXiv","abstract":[{"text":"We prove that any convex body in the plane can be partitioned into m convex parts of equal areas and perimeters for any integer m≥2; this result was previously known for prime powers m=pk. We also give a higher-dimensional generalization.","lang":"eng"}],"project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics"}],"year":"2018","citation":{"mla":"Akopyan, Arseniy, et al. “Convex Fair Partitions into Arbitrary Number of Pieces.” <i>ArXiv</i>, ArXiv, 2018.","chicago":"Akopyan, Arseniy, Sergey Avvakumov, and Roman Karasev. “Convex Fair Partitions into Arbitrary Number of Pieces.” <i>ArXiv</i>. ArXiv, 2018.","ama":"Akopyan A, Avvakumov S, Karasev R. Convex fair partitions into arbitrary number of pieces. <i>ArXiv</i>. 2018.","apa":"Akopyan, A., Avvakumov, S., &#38; Karasev, R. (2018). Convex fair partitions into arbitrary number of pieces. <i>ArXiv</i>. ArXiv.","ista":"Akopyan A, Avvakumov S, Karasev R. 2018. Convex fair partitions into arbitrary number of pieces. ArXiv.","short":"A. Akopyan, S. Avvakumov, R. Karasev, ArXiv (2018).","ieee":"A. Akopyan, S. Avvakumov, and R. Karasev, “Convex fair partitions into arbitrary number of pieces,” <i>ArXiv</i>. ArXiv, 2018."},"page":"11","publication_status":"published","oa_version":"Preprint","status":"public","main_file_link":[{"url":"https://arxiv.org/abs/1804.03057","open_access":"1"}],"publication":"ArXiv","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"09","day":"13","type":"preprint","department":[{"_id":"HeEd"},{"_id":"JaMa"}],"language":[{"iso":"eng"}],"date_updated":"2019-08-02T12:39:30Z","title":"Convex fair partitions into arbitrary number of pieces","date_created":"2018-12-11T11:44:30Z","author":[{"first_name":"Arseniy","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","full_name":"Akopyan, Arseniy","last_name":"Akopyan"},{"full_name":"Avvakumov, Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","first_name":"Sergey","last_name":"Avvakumov"},{"first_name":"Roman","full_name":"Karasev, Roman","last_name":"Karasev"}],"_id":"75","external_id":{"arxiv":["1804.03057"]},"oa":1}]