  We use the recipe of arXiv:1003.2974 to find half-BPS near-horizon geometries
in the t$^3$ model of $N=2$, $D=4$ gauged supergravity, and explicitely
construct some new examples. Among these are black holes with noncompact
horizons, but also with spherical horizons that have conical singularities
(spikes) at one of the two poles. A particular family of them is extended to
the full black hole geometry. Applying a double-Wick rotation to the
near-horizon region, we obtain solutions with NUT charge that asymptote to
curved domain walls with AdS$_3$ world volume. These new solutions may provide
interesting testgrounds to address fundamental questions related to quantum
gravity and holography.
