Simulation of Sierpinski-type fractals and their geometric constructions in Matlab environment

Study on properties of Sierpinski-type fractals, including dimension, measure, connectedness, Lipschitz equivalence, etc are very interesting. Although there have been some very nice results were obtained, there is still a long way to go to solve all the problems. In order to facilitate understanding of these results and further study, in this paper, we simulate this kind of fractals and their geometric constructions in Matlab environment that is more easily understood and mastered for researcher base on the recursive and iterative algorithms that are used to simulate fractals. Furthermore, our results are also interesting results to enrich the theoretical and applied research of fractal simulation. Key–Words: Sierpinski gasket-type fractal, Sierpinski carpet-type fractal, Fractal simulation, Recursive algorithm, Iterative algorithm, Matlab