  We exclude the center of mass of the N-particle rational Calogero model and
consider the angular part of the resulting Hamiltonian. We show that it
describes the motion of the particle on (N-2)-dimensional sphere interacting
with N(N-1)/2 force centers with Higgs oscillator potential. In the case of
four-particle system these force centers define the vertexes of an Archimedean
solid called cuboctahedron.
