Let A1, B1, C1 be the intersections between the altitudes and the circumcircle; A2, B2, C2 the midpoints of the sides. Let A3 be the intersection between A1A2 and the circumcircle, and N3 the ninecenter of A3BC. Define analogously A2, A1, N2, N1. The points N1, N2, N3 and the circumcircle N of ABCare concyclic with center at the complement of the point X(64).