Convex fair partitions into arbitrary number of pieces Preprint


Author(s): Akopyan, Arseniy; Avvakumov, Sergey; Karasev, Roman
Title: Convex fair partitions into arbitrary number of pieces
Affiliation IST Austria
Abstract: 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.
Publication Title: ArXiv
Publisher: ArXiv  
Date Published: 2018-09-13
URL:
Open access: yes (repository)
IST Austria Authors
  1. Arseniy V Akopyan
    15 Akopyan
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