  We construct a (shellable) polyhedral cell complex that supports a minimal
free resolution of a Borel fixed ideal, which is minimally generated (in the
Borel sense) by just one monomial in S=k[x_1,x_2,...,x_n]; this includes the
case of powers of the homogeneous maximal ideal (x_1,x_2,...,x_n) as a special
case.
  In our most general result we prove that for any Borel fixed ideal I
generated in one degree, there exists a polyhedral cell complex that supports a
minimal free resolution of I.
