Abstract: This paper constructs the Newton’s rational mapping f（z）=（（m-1）z m-c）/（mz m-1 ） by using complex coefficient polynomial and also constructs fulled in Julia fractal images of high order. The Julia sets are obtained by means of combining the attracting basin boundaries of the fulled in Julia fractal images.The outer ring fractal dimension of self similarity flower chains of the Julia fractal image of Newton’s mapping is estimated by employing the homology fractal interpolation algorithm proposed by the author.