  We show that the $S^1$-rotating black rings can be superposed by the solution
generating technique. We analyze the black diring solution for the simplest
case of multiple rings. There exists an equilibrium black diring where the
conical singularities are cured by the suitable choice of physical parameters.
Also there are infinite numbers of black dirings with the same mass and angular
momentum. These dirings can have two different continuous limits of single
black rings. Therefore we can transform the fat black ring to the thin ring
with the same mass and angular momentum by way of the diring solutions.
