Fractal antenna arrays

i am a btech student working on random fractal antenna arrays for my final year project. i am presently doing the comparison of radiation pattern of sierpinski carpet gasket, cantor set...i look for some suggestions on wat more i can do in this area which will make a good thesis. being and undergraduate, i don't have in depth knowledge of antennas and i m wandering too much. i sincerely request to give me some direction in which i can work on a time bound project.

Also wen i tried to plot random sierpinski carpet, i m facing some difficulty...i am not sure if the results are correct. so if u have a matlab code/resulf for/of generation of random sierpinski carpet and its radiation pattern, please share it