--- _id: '75' abstract: - lang: eng 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. article_number: '1804.03057' article_processing_charge: No author: - first_name: Arseniy full_name: Akopyan, Arseniy id: 430D2C90-F248-11E8-B48F-1D18A9856A87 last_name: Akopyan orcid: 0000-0002-2548-617X - first_name: Sergey full_name: Avvakumov, Sergey id: 3827DAC8-F248-11E8-B48F-1D18A9856A87 last_name: Avvakumov - first_name: Roman full_name: Karasev, Roman last_name: Karasev citation: ama: Akopyan A, Avvakumov S, Karasev R. Convex fair partitions into arbitrary number of pieces. 2018. doi:10.48550/arXiv.1804.03057 apa: Akopyan, A., Avvakumov, S., & Karasev, R. (2018). Convex fair partitions into arbitrary number of pieces. arXiv. https://doi.org/10.48550/arXiv.1804.03057 chicago: Akopyan, Arseniy, Sergey Avvakumov, and Roman Karasev. “Convex Fair Partitions into Arbitrary Number of Pieces.” arXiv, 2018. https://doi.org/10.48550/arXiv.1804.03057. ieee: A. Akopyan, S. Avvakumov, and R. Karasev, “Convex fair partitions into arbitrary number of pieces.” arXiv, 2018. ista: Akopyan A, Avvakumov S, Karasev R. 2018. Convex fair partitions into arbitrary number of pieces. 1804.03057. mla: Akopyan, Arseniy, et al. Convex Fair Partitions into Arbitrary Number of Pieces. 1804.03057, arXiv, 2018, doi:10.48550/arXiv.1804.03057. short: A. Akopyan, S. Avvakumov, R. Karasev, (2018). date_created: 2018-12-11T11:44:30Z date_published: 2018-09-13T00:00:00Z date_updated: 2023-12-18T10:51:02Z day: '13' department: - _id: HeEd - _id: JaMa doi: 10.48550/arXiv.1804.03057 ec_funded: 1 external_id: arxiv: - '1804.03057' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1804.03057 month: '09' oa: 1 oa_version: Preprint project: - _id: 256E75B8-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '716117' name: Optimal Transport and Stochastic Dynamics publication_status: published publisher: arXiv related_material: record: - id: '8156' relation: dissertation_contains status: public status: public title: Convex fair partitions into arbitrary number of pieces type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2018' ...