A note on the size of the largest ball inside a convex polytope

Academic Article

Abstract

  • Let m > 1 be an integer, Bmthe set of all unit vectors of ℝmpointing in the direction of a nonzero integer vector of the cube [-1, 1]m. Denote by smthe radius of the largest ball contained in the convex hull of Bm. We determine the exact value of sm and obtain the asymptotic equality sm ∼ 2/√logm. © Akadémiai Kiadó, Budapest.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Start Page

  • 15
  • End Page

  • 18
  • Volume

  • 51
  • Issue

  • 2