Abstract: Aiming at the problems that double flowers structure is relatively complex, and petals arrangement of the nonlinear is stronger, and the three dimensional simulation effect is poor, this paper put forward a double flowers topology structure model algorithm. Using peony as examples, according to the arrangement of botany petals theory,joining the randomized function, expanding the L system to construct different levels flowers form model, using two I3ezier surfaces three times to construct the petals model, using 2 d texture mapping method based on triangle strips of model, the algorithm can complete any level of flowers modeling. This method is simple, intuitive, and the reality sense effect is good.

Key words: Double petal flower, Bezicr surface, Triangularization, Extend Lsystems