Koch curve based dipole antennas have been built up, have been simulated and measured to examine the reachable size reduction.The simulations have been performed by the method of moments (MoM) and the results have been checked by the finite element method (FEM) and by measurements. The Pocklington' integral equation has been implemented in MATLAB environment to simulate the input impedance of dipole antennas. The ATW EFIE method has been implemented and solved by the 4NEC2 software to examine the behavior of arbitrary shaped thin wire antennas. In COMSOL Multiphysics software environment a finite element model has been set up to solve the Helmholtz equation and to simulate the antennas under examination. Koch curve based dipole antennas have been measured in a full anechoic chamber, as well and finally the numerical and the experimental results have been compared.