The Collaborative International Dictionary of English v.0.48:

Badian \Ba"di*an\, n. [F. badiane, fr. Per. b[=a]di[=a]n anise.]
   (Bot.)
   An evergreen Chinese shrub of the Magnolia family (Illicium
   anisatum), and its aromatic seeds; Chinese anise; star
   anise.
   [1913 Webster]