Let O be a compact reflection n-orbifold whose underlying space is homeomorphic to a truncation n-polytope, i.e. a polytope obtained from an n-simplex by successively truncating vertices. 

In this talk, I will give a complete description of the deformation space of convex real projective structures on the orbifold O of dimension at least 4.  Joint work with Suhyoung Choi and Ludovic Marquis.