Small covers were introduced by Davis and Januszkiewicz in 1991. We introduce the notion of equilibrium triangulations for small covers. We study equilibrium and vertex minimal ℤ22-equivariant triangulations of 2-dimensional small covers. We discuss vertex minimal equilibrium triangulations of ℝℙ3#ℝℙ3, S1 × ℝℙ2 and a nontrivial S1 bundle over ℝℙ2. We construct some nice equilibrium triangulations of the real projective space ℝℙn with 2n + n + 1 vertices. The main tool is the theory of small covers.