A non-uniqueness theorem in the theory of Voronoi sets

It is shown that two distinct, bounded, open subsets of ℝ2 may possess the same Voronoi set.

Bibliographic Details
Main Author: M. Jones
Format: Article
Language:English
Published: Hindawi Limited 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291001114
Description
Summary:It is shown that two distinct, bounded, open subsets of ℝ2 may possess the same Voronoi set.
ISSN:0161-1712
1687-0425