Monte Carlo Simulations of the Morphology of ABC Starpolymers using the Diagonal Bond Method The microphaseseparated morphology of ABC threearm starshaped copolymers with armlength ratio 1:1:x is investigated by a recently proposed simulation method, the diagonal bond method. Five kinds of twodimensional (cylindrical) phases, three kinds of lamellartype phases and two kinds of continuous matrix phases are discovered. The phase diagram is presented: The progression of the morphologies as a function of x is the following: lamella+sphere; five polygonal cylinders, [8.8.4], [6.6.6], [8.6.4; 8.6.6], [10.6.4; 10.6.4; 10.6.6], [12.6.4]; perforated layer; lamella+cylinder; columnar piled disk; lamellainsphere. Two remarkable features of ABC starpolymer systems are found: first, in all phases junction point monomers gather on lines where three interfaces meet, and second, the section of the cylindrical phase becomes the tessellation of evennumbered polygons. The free energy of the system is also calculated in the strong segregation limit for four kinds of simple phases, and the results are consistent with the simulations. 
