  We consider compactifications of the space of triples of distinct points in
projective $n$-space. One such space is a singular variety of configurations of
points and lines; another is the smooth compactification of Fulton and
MacPherson; and a third is the triangle space of Schubert and Semple. We
compute the sections of line bundles on these spaces, and show that they are
equal as GL(n) representations to the generalized Schur modules associated to
``bad'' generalized Young diagrams with three rows (Borel-Weil theorem). On the
one hand, this yields Weyl-type character and dimension formulas for the Schur
modules; on the other, a combinatorial picture of the space of sections.
Cohomology vanishing theorems play a key role in our analysis.
