  We prove a descriptive theorem on the extrinsic geometry of an embedded
minimal surface of injectivity radius zero in a homogeneously regular
Riemannian three-manifold, in a certain small intrinsic neighborhood of a point
of almost-minimal injectivity radius. This structure theorem includes a limit
object which we call a minimal parking garage structure on $\mathbb{R}^3$,
whose theory we also develop.
