Scaling properties of the Baxter-Wu model

► Scaling properties are recalculated more precisely with our new cluster algorithm. ► Magnetic distribution function's critical behavior depends on boundary conditions. ► Binder cumulants UL and UL0 are calculated at H=0. ► The scaling of UL and UL0 at critical point depends on boundary conditions. ► At critical point UL and UL0 tend to the same limiting value in all studied cases.