This　article　presents　the　iterative　function　to　generate　the　visual　aesthetic　fractal　patterns.　Based　on　Mandelbrot　sets　and　the　escape　time　algorithm　on　complex　plane,　the　visual　aesthetic　fractal　patterns　are　generated.　The　generated　program　development,　a　pictorial　information　system,　is　integrated　through　the　application　of　Visual　Basic　programming　language　and　development　integration　environment.　Application　of　the　development　program,　this　article　analyzes　the　shape　of　the　fractal　patterns　generated　by　the　different　power　orders　of　the　Mandelbrot　sets.　Finally,　the　iterative　function　has　been　proposed　as　the　generation　tools　of　highly　visual　aesthetic　fractal　patterns.　©　2015　Taylor　&　Francis　Group,　London.