Characteristics features of fractal antennas are small size and its variously relative broad bandwidths. The former one has wide applications in telecommunications miniaturization and nanotechnologies and the later, due to its many different autosimilarity sizes, is used in Full Duplex many channels communications. In this paper we studied merit figures of a new Fractal Antenna shaped as a Fractal hexagonal Rosette monopole, using an FDTD based software and comparing it with similar figures of the well known Sierpinski gasket antenna.