Published May 18, 2017
| Version v1
Publication
Equipartitioning triangles
Description
An intriguing conjecture of Nandakumar and Ramana Rao is that for every convex body K ⊆ R2, and for any positive integer n, K can be expressed as the union of n convex sets with disjoint interiors and each having the same area and perimeter. The first difficult case- n = 3- was settled by Bárány, Blagojevi¢, and Szucs using powerful tools from algebra and equivariant topology. Here we give an elementary proof of this result in case K is a triangle, and show how to extend the approach to prove that the conjecture is true for triangles.
Abstract
Ministerio de Educación y CienciaAbstract
European Science FoundationAbstract
National Science FoundationAdditional details
Identifiers
- URL
- https://idus.us.es/handle/11441/60037
- URN
- urn:oai:idus.us.es:11441/60037
Origin repository
- Origin repository
- USE