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EQUILATERAL TRIANGLE VS. HEXAGON: A MOST SIMPLE DEMONSTRATION
Author(s) -
Tellier LucNormand
Publication year - 1992
Publication title -
journal of regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.171
H-Index - 79
eISSN - 1467-9787
pISSN - 0022-4146
DOI - 10.1111/j.1467-9787.1992.tb00181.x
Subject(s) - equilateral triangle , simple (philosophy) , hexagonal tiling , hexagonal crystal system , grid , minification , combinatorics , mathematics , grid pattern , computer science , geometry , mathematical optimization , crystallography , chemistry , philosophy , epistemology
. This note presents a most simple proof of the superiority of hexagons over equilateral triangles of the same size in terms of minimization of the average distance between consumers and facilities. It also stresses that, under the same assumptions, facilities are closer to each other in a triangular grid than in an hexagonal grid and that this fact should not be neglected.