(1/6 (6 - sqrt(3)) | -1/(2 sqrt(3)) 1/(2 sqrt(3)) | 1/6 (6 + sqrt(3)))
(x, y)⟶(1/6 (-((-6 + sqrt(3)) x) - sqrt(3) (y - 1)), 1/6 (sqrt(3) x + (6 + sqrt(3)) y - sqrt(3)))
(x y)⟶(1/(2 sqrt(3)) -1/(2 sqrt(3))) + (1/6 (6 - sqrt(3)) | -1/(2 sqrt(3)) 1/(2 sqrt(3)) | 1/6 (6 + sqrt(3))) (x y)