Publication Type : Journal Article
Publisher : Springer
Source : Proceedings-Mathematical Sciences, Springer, Volume 122, Number 3, p.459–467 (2012)
Url : http://link.springer.com/article/10.1007/s12044-012-0076-5
Campus : Kochi
School : School of Arts and Sciences
Department : Computer Science
Year : 2012
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.
Cite this Research Publication : R. Nandakumar and N Rao, R., “Fair partitions of polygons: An elementary introduction”, Proceedings-Mathematical Sciences, vol. 122, pp. 459–467, 2012.