• Fair Partitions of Polygons: An Elementary Introduction

• # Fulltext

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

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

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019