  By using Klein's model for hyperbolic geometry, hyperbolic structures on
orbifolds or manifolds provide examples of real projective structures. By
Andreev's theorem, many 3-dimensional reflection orbifolds admit a finite
volume hyperbolic structure, and such a hyperbolic structure is unique.
However, the induced real projective structure on some such 3-orbifolds deforms
into a family of real projective structures that are not induced from
hyperbolic structures. In this paper, we find new classes of compact and
complete hyperbolic reflection 3-orbifolds with such deformations. We also
explain numerical and exact results on projective deformations of some compact
hyperbolic cubes and dodecahedra.
