In this work we study the maximum relative diameter functional
dM in the class of multi-rotationally symmetric planar convex bodies.
A given set C of this class is k-rotationally symmetric for k 2 {k1, . . . , kn}
N, and so it is natural to consider the standard ki-partition Pki associated
to C (which is a minimizing ki-partition for dM when ki > 3) and the corresponding
value dM(Pki ). We establish the relation among these values,
characterizing the particular sets for which all these values coincide.Ministerio de Economía y Competitividad MTM2013-48371-C2-1-PJunta de Andalucía FQM-32
