  In this paper, we prove that there is a strongly universal cellular automaton
in the dodecagrid, the tesselllation {5,3,4} of the hyperbolic 3D space, with
four states but, it is not rotation invariant as the automaton of
arXiv:2104.01561 is with five states. The present paper is not an improvement
of arXiv:2104.01561. The reduction to four states of the automaton of the
present paper results from a relaxation of the condition of rotation
invariance. However, the relaxation is not complete: the rules are invariant
with respect to rotations of the dodecahedron which leave it globally invariant
which also leave invariant a couple of opposite faces of the dodecahedron. As
there are twenty five such rotations, it can be considered that the reduction
to four states is significant although the relaxation it implied.
