43 citations · 169 across the 34 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.MG2019
Volumetric bounds for intersections of congruent balls
Károly Bezdek
We investigate the intersections of balls of radius , called -ball bodies, in Euclidean -space. An -lense (resp., -spindle) is the intersection of two balls of radiu…
math.MG2019
From spherical to Euclidean illumination
Károly Bezdek, Zsolt Lángi
In this note we introduce the problem of illumination of convex bodies in spherical spaces and solve it for a large subfamily of convex bodies. We derive from it a combinatorial ve…
math.MG2019
On uniform contractions of balls in Minkowski spaces
Károly Bezdek
Let balls of the same radius be given in a -dimensional real normed vector space, i.e., in a Minkowski -space. Then apply a uniform contraction to the centers of the …