We study the complex deformations of orientifolds of D3-branes at toric CY
singularities, using their description in terms of dimer diagrams. We describe
orientifold quotients that have fixed lines or fixed points in the dimer, and
characterize the possibilities to deform them in terms of the behaviour of
zig-zag paths under the orientifold symmetry. The resulting models are
holographic duals to warped throats with orientifold planes. Our systematic
construction provides a general class of configurations which includes models
recently appeared in the context of de Sitter uplift by nilpotent goldstino or
dynamical supersymmetry breaking.Comment: 39 pages, 23 figures. v2: minor corrections don