  The convex hull of N independent random points chosen on the boundary of a
simple polytope in R^n is investigated. Asymptotic formulas for the expected
number of vertices and facets, and for the expectation of the volume difference
are derived. This is one of the first investigations leading to rigorous
results for random polytopes which are neither simple nor simplicial. The
results contrast existing results when points are chosen in the interior of a
convex set.
