We classify the extreme and exposed symmetric bilinear forms of the unit ball of the space of symmetric bilinear forms on ℝ² with hexagonal norms. We also show that every extreme symmetric bilinear forms of the unit ball of the space of symmetric bilinear forms on ℝ² with hexagonal norms is exposed.

Keywords:

symmetric bilinear forms, extreme points, exposed ,points, hexagonal norms on $mathbb{R}^2$