Using a kinematic approach, we study the evolution of a system of plates wh
ose Euler poles and shapes are dictated by the requirement of toroidal-polo
idal equipartition. Though no attempt is made to model the dynamical aspect
s of the problem and the time-scales involved, the simulations performed le
ad to configurations of plates which share with the currently observed one
an excess of drift energy with respect to spin energy. The existence of fas
tly spinning plates seems to be in contradiction with the constraint of tor
oidal-poloidal equipartition. Their fate is to quickly disappear to prevent
an excess of toroidal energy in the tectonic plates system.