  We demonstrate that chimera behavior can be observed in ensembles of phase
oscillators with unidirectional coupling. For a small network consisting of
only three identical oscillators (cyclic triple), tiny {\it chimera islands}
arise in the parameter space. They are surrounded by developed chaotic
switching behavior caused by a collision of rotating waves propagating in
opposite directions. For larger networks, as we show for hundred oscillators
(cyclic century), the islands merge into a single {\it chimera continent} which
incorporates the world of chimeras of different configuration. The phenomenon
inherits from networks with intermediate ranges of the unidirectional coupling
and it diminishes as it decreases.
