Higher-form flux that extends in all 3+1 dimensions of spacetime is a source of positive vacuum energy that can drive meta-stable eternal inflation. If the flux also threads compact extra dimensions, the spontaneous nucleation of a bubble of brane charged under the flux can trigger a classical cascade that steadily unwinds many units of flux, gradually decreasing the vacuum energy while inflating the bubble. The cascade will end in the self-annihilation of the brane into radiation. This provides a viable mechanism for inflation, with primordial curvature perturbations coming from both standard slow-roll fluctuations and also periodic open string production due to brane scattering. The power spectrum of adiabatic density perturbations is nearly scale-invariant, with amplitude and tilt consistent with observation, has an oscillatory component that does not decay away during inflation, and has relatively large tensor power. Unwinding Inflation fits naturally into the string landscape, and our preliminary conclusion is that consistency with observation can be attained without fine-tuning the string parameters. Because brane dynamics play a central roll in this model, the development of Unwinding Inflation has led to new results in brane scattering.