Triakis triangular tiling

The triakis triangular tiling is an isohedral tiling with isosceles triangles for faces, joining 3 or 12 to a vertex. It is the dual of the uniform truncated hexagonal tiling.

Each face of this tiling is an isosceles triangle with the base $$\sqrt3 ≈ 1.73205$$ times the side edges, containing 2 30° angles and one 120° angle.