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Antenna design is a mature field of research; it is therefore rare that a new approach arises in view of the traditional methods. In the past antennas had simple form based on Euclidean geometry. Fractal antennas do not follow this design. Their complex structure is built up through replication of a base shape. The purpose of this research is to explore fractal element antennas, through simulation and design experimentation. This research revealed unexpected results, which provided additional insight into these unique structures. Results of MoM and FDTD simulation methods as well as measurements of physical models of the circuit- and field-antenna parameters are presented and discussed. Measurements well confirmed simulation.