Turbulence in superfluid He II manifests itself as a disordered tangle of quantized vortex lines. Traditionally, interest in superfluid turbulence was motivated by the desire to understand a state of disorder of matter in the vicinity of absolute zero. This paper illustrates that the vortex lines form ordered superfluid vortex bundles in regions of high normal fluid vorticity. A vortex wave instability and mutual friction are responsible for generating a high density of vortex lines such that the resulting macroscopic superfluid vorticity and the driving normal fluid vorticity patterns match. The results are discussed from the point of view of the idea, put forward to explain experiments, that in the isothermal, turbulent flow of He II a high density of vortex lines locks the two fluid components together.