Centrally symmetric configurations of order polytopes
  It is shown that the toric ideal of the centrally symmetric configuration of the order polytope of a finite partially ordered set possesses a squarefree quadratic initial ideal. It then follows that the convex polytope arising from the centrally symmetric configuration of an order polytope is a normal Gorenstein Fano polytope. 
Takayuki Hibi, Kazunori Matsuda, Hidefumi Ohsugi, Kazuki Shibata
math.AC