• Fair Partitions of Polygons: An Elementary Introduction

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      https://www.ias.ac.in/article/fulltext/pmsc/122/03/0459-0467

    • Keywords

       

      Convex polygons; fair partition.

    • Abstract

       

      We introduce the question: Given a positive integer 𝑁, can any 2D convex polygonal region be partitioned into 𝑁 convex pieces such that all pieces have the same area and the same perimeter? The answer to this question is easily `yes’ for $N=2$. We give an elementary proof that the answer is `yes’ for $N=4$ and generalize it to higher powers of 2.

    • Author Affiliations

       

      R Nandakumar1 N Ramana Rao2

      1. ‘Kovilet’, Palace 41 Compound, Tripunithura 682 301, India
      2. B-206, Maha Lakshmi Estates, Prashanthi Nagar, Nizampet Road, Hyder Nagar, Hyderabad 500 085, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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