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math.MG2011
Ball-Polyhedra
Karoly Bezdek, Zsolt Langi, Marton Naszodi +1
We study two notions. One is that of spindle convexity. A set of circumradius not greater than one is spindle convex if, for any pair of its points, it contains every short circula…
math.MG2011★ 23 cited
Ball and Spindle Convexity with respect to a Convex Body
Zsolt Lángi, Márton Naszódi, István Talata
Let be a convex body. We introduce two notions of convexity associated to C. A set is -ball convex if it is the intersection of translates of , o…
math.MG2011★ 1 cited
Rigid ball-polyhedra in Euclidean 3-space
Karoly Bezdek, Marton Naszodi
A ball-polyhedron is the intersection with non-empty interior of finitely many (closed) unit balls in Euclidean 3-space. One can represent the boundary of a ball-polyhedron as the…