Twistor theory of higher dimensional black holes: II. Examples

We apply the twistor construction for higher dimensional black holes to known examples in five spacetime dimensions. First, the patching matrices are calculated from the explicit metric for these examples. Then, an ansatz is proposed for obtaining the patching matrix instead from the data of a rod structure and angular momenta. The ansatz is tested on examples with up to three nuts, and these are shown to give flat space, the Myers-Perry solution and the black ring, as expected. Rules for the transition between different adaptations of the patching matrix and the elimination of conical singularities are developed and seen to work.