We construct many nonpolytopal nonsimplicial Gorenstein* meet semi-lattices
with nonnegative toric g-vector, supporting a conjecture of Stanley. These are
formed as Bier spheres over the face posets of multiplexes, polytopes
constructed by Bisztriczky as generalizations of simplices.Comment: 10 pages. Final version. Theorem on shellability added in the last
  sectio