Ponencia
Equipartitioning triangles
Autor/es | Ramos Alonso, Pedro Antonio
Steiger, William |
Coordinador/Director | Díaz Báñez, José Miguel
Garijo Royo, Delia Márquez Pérez, Alberto Urrutia Galicia, Jorge |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Fecha de publicación | 2013 |
Fecha de depósito | 2017-05-18 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | MTM2011-22792
EUI-EURC-2011-4306 |
Cita | Ramos Alonso, P.A. y Steiger, W. (2013). Equipartitioning triangles. En XV Spanish Meeting on Computational Geometry, Sevilla. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Equipartitioning triangles.pdf | 732.4Kb | [PDF] | Ver/ | |