  Weak topological insulators possess a symmetry related set of Dirac-Weyl
cones in the surface Brillouin zone, implying misorientation between the
principle axis of the low energy manifold of the bulk and the surface normal.
We show that this feature of weak topological insulators comes with a hidden
richness of surface spin textures, and that by misorientation a helical texture
can become an unusual hyperbolic spin texture. We illustrate this effect by
comparison of the $M$-point and $\Gamma$-point Dirac-Weyl cones on the (111)
surface of the crystalline topological insulator SnTe.
