  Given a spherical homogeneous space G/H of minimal rank, we provide a simple
procedure to describe its embeddings as varieties with torus action in terms of
divisorial fans. The torus in question is obtained as the identity component of
the quotient group N/H, where N is the normalizer of H in G. The resulting Chow
quotient is equal to (a blowup of) the simple toroidal compactification of G/(H
N^0). In the horospherical case, for example, it is equal to a flag variety,
and the slices (coefficients) of the divisorial fan are merely shifts of the
colored fan along the colors.
