  Despite all attempts, exact solutions for black rings in more than five
dimensions remain elusive. In this paper we clarify some of the reasons for
that, in particular we show that a peculiar symmetry of the five--dimensional
black ring - separability of the base - cannot occur in dimensions higher than
five. We also construct supersymmetric solutions that have symmetries of 5D
supersymmetric black ring and show that they do not have regular horizons.
