A Note on the Size of the Largest Ball Inside a Convex Polytope

Imre Barany, Nandor Simanyi

Let $m>1$ be an integer, $B_m$ the set of all unit vectors of ${\mathbb{R}}^m$ pointing in the direction of a nonzero integer vector of the cube $[-1,1{]}^m$. Denote by $s_m$ the radius o…