Discrete sets with minimal moment of inertia

  • Authors:
  • S. Brlek;G. Labelle;A. Lacasse

  • Affiliations:
  • LaCIM, Université du Québec à Montréal, C. P. 8888 Succursale Centre-Ville, Montréal (QC), Canada H3C 3P8;LaCIM, Université du Québec à Montréal, C. P. 8888 Succursale Centre-Ville, Montréal (QC), Canada H3C 3P8;LaCIM, Université du Québec à Montréal, C. P. 8888 Succursale Centre-Ville, Montréal (QC), Canada H3C 3P8

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2008

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Abstract

We analyze the moment of inertia I(S), relative to the center of gravity, of finite plane lattice sets S. We classify these sets according to their roundness: a set S is rounder than a set T if I(S)