Let A'B'C'  be the Morley triangle of ABC; Oa, Ob, Oc the circumcenters of AB'C', BC'A', C'AB; O'a, O'b, O'c the circumcenters of A'BC, B'CA, C'AB. The triangles OaObOc and O'aO'bO'c are perspective and so is the Morley triangle, always with center the centroid M of the Morley triangle.