  We complete the proof of the upper bound $\hat\rho_3\leq 10R$ for the
regularity radius of Delone sets in three-dimensional Euclidean space. Namely,
summing up the results obtained earlier, and adding the missing cases, we show
that if all $10R$-clusters of a Delone set $X$ with parameters $(r,R)$ are
equivalent, then $X$ is a regular system.
