In (2 + 1) gravity, the time evolution of a universe with the spatial
topology of a torus can be described by means of a one-polygon tessell
ation with 3-valent vertices. The action of modular transformations on
this solution is considered; it is shown that the corresponding orbit
is densely distributed inside the entire phase space of the model. (C
) 1998 Elsevier Science B.V.