From The Collaborative International Dictionary of English v.0.48 :
Aster \As"ter\ ([a^]s"t[~e]r), n. [L. aster aster, star, Gr. 'asth`r star. See Star.] 1. (Bot.) A genus of herbs with compound white or bluish flowers; starwort; Michaelmas daisy. [1913 Webster] 2. (Floriculture) A plant of the genus Callistephus. Many varieties (called China asters, German asters, etc.) are cultivated for their handsome compound flowers. [1913 Webster] 3. (Biol.) A star-shaped figure of achromatic substance found chiefly in cells dividing by mitosis. [Webster 1913 Suppl.]From WordNet (r) 3.0 (2006) :
aster n 1: any of various chiefly fall-blooming herbs of the genus Aster with showy daisylike flowers 2: star-shaped structure formed in the cytoplasm of a cell having fibers like rays that surround the centrosome during mitosis