Let $H_0$ be a regular hexagon. Let $C_1,C_2,C_3,C_4,C_5,C_6$ be the centers, respectively, of equilateral triangles with bases being the sides of $H_0$, each exterior to $H_0$. What is the ratio of the area of the hexagon formed by $C_1,C_2,C_3,C_4,C_5,C_6$ to the area of hexagon $H_0$?