Harmonic Structure On Modified Sierpinski Gasket

F_i(z) =α(z-p_i)+p_i, for i = 1,2,3 and f_i(z) =β(z-p_i)+pi, for i = 4,5,6.Let K be the self-similar set with respect to {Fi}i∈S , where S = 1,2,...,6. Kis called the Modified Sierpinski GasketThis paper mainly studies the existence of harmonic structure on ModifiedSierpinski Gasket and calculate its harmonic function.First of all, we prove that the structure L = (K,S,{Fi}i∈S) associated withK is post critically finite.r = (r,r,r,rs,rs,rs),(r,s > 0), we give a condition on (D,r) which is a har-monic structure. Moreover, we consider when it is a regular harmonic structure?At last, we calculate the harmonic functions on V_*.