A New Algorithm of Geometric Fractal in Dynamic Geometry

Geometric Fractal is an important and interesting function of dynamic geometry, but it is a big system burden because geometric fractal has a significant negative impact on system performance. In this paper, we propose a new algorithm to improve the efficiency of geometric fractal in dynamic geometry system. The new algorithm treats lots of fractal graphics as a whole geometric object. This method can greatly reduce the computational load and complexity of generating and updating these fractal graphics runtime. It makes real-time calculation of geometric update possible and very rapid. The new algorithm was compared with Super Sketch Platform and The Geometer´s Sketchpad, the most popular two dynamic geometry systems. The experimental results demonstrate the effectiveness of the proposed approach.