Experiments with the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction demonstrate that three-dimensionalscroll waves can rotate around filaments that end in the wake of a traveling excitation pulse. The vortexstructures nucleate during the collision of three nonrotating excitation pulses. The nucleation process and thewave-termination of filaments are direct consequences of the system's anomalous dispersion relation. Vortexfilaments are found to expand with about twice the speed of their anchoring wave fronts. Filament expansionis accompanied by the build-up of phase differences in spiral rotation creating strongly twisted wave structures.Experiments employ optical tomography for the reconstruction of the three-dimensional wave patterns.