The missing boundaries of the Santaló diagrams for the cases \((d,\omega,R)\) and \((\omega,R,r)\) (Q1972311)

A system of geometric inequalities for planar figures is called a complete system of inequalities if for any set of numbers satisfying those conditions there always exists a planar figure having these characteristic values. In this paper, complete systems of inequalities are established for the cases \((d,\omega,R)\) and \((\omega,R,r)\) where \(d\) is the diameter, \(\omega\) the minimal width, \(R\) the circumradius, and \(r\) the inradius of a planar compact convex set.